If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.
What exactly is a function?The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.
Functions may be found almost everywhere, and creating links between physical objects requires their use.
Given
The answer to the question f(x) is.
(x+3)^2 -10
The left side by three units serves as the axis of symmetry for the function f(x).
The axis of symmetry for g(x) may be found five units to the right of where f is located (x).
If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.
After that, the expression for g(x) will be g(x) = (x-2)2 +k.
Therefore, option A is the one to choose.
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Graph the linear equation.
x - 2y = - 2
The graph of the linear equation can be seen in the image below.
How to graph the linear equation?Here we have the linear equation:
x - 2y = -2
To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.
If x = 0, we have:
0 - 2y = -2
y = -2/-2 = 1
if x = 1 then:
1 - 2y = -2
1 + 2 = 2y
3 = 2y
3/2 = y
Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:
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The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For amonth in which the executive's cellular phone bill was $83.80, how many minutes did the executive use the phone?
Answer:
1022 minutes
Step-by-step explanation:
Let x be the number of minutes the executive used the phone
There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute
So total bill A = 35 + 0.4(x-900)
We know the bill was $83.80
So we can rewrite the equation as
35 + 0.4(x-900) = 83.30
and solve for x
To make it easier for computational purposes
1) Multiply both sides by 10
[tex]35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10[/tex]
2) Perform individual multiplication
[tex]350+4\left(x-900\right)=838[/tex]
3) Subtract 350 from both sides
[tex]350+4\left(x-900\right)-350=838-350[/tex]
4) Simplify
[tex]4\left(x-900\right)=488[/tex]
5) Divide both sides by 4
[tex]\frac{4\left(x-900\right)}{4}=\frac{488}{4}[/tex]
6) Simplify
[tex]x-900=122[/tex]
7) Add 900 to both sides to isolate x
[tex]x-900+900=122+900[/tex]
8) Simplify to obtain x
[tex]x=1022[/tex]
Answer: The executive used the phone for 1022 minutes that month
A college football team will play 14 games next fall each game can result in 2 possible outcomes find the total possible number of outcomes for the season
There will be an outcome of 16380 times.
What is an outcome?
An outcome is a potential consequence of an event or trial in probability theory. A specific experiment can have any number of outcomes, and they are all distinct and unrelated to one another.The football team will play 14 games
and each game can result in one of 2
Hence, the total possible number of outcomes for the season is [tex]2^{14}[/tex].
Now, let us explain
Let the result can be represented by an 'ordered set" i.e. 14- box.
|1|2|3|4|5|6|7|8|9|10|11|12|13|14|
Hence, the first box can be filled in 2 ways.
Similarly, all boxes.
Hence, the total number of cases will be,
2*2*2*2.... 14 times
= [tex]2^{14}\\[/tex]
=16380 times.
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HELP ASAP!!!
Determine the direction in which the graph of the function f(x)=x^2+x-2 opens.
A.upward
B.downward
C.to the left
D.to the right
Answer:
A
Step-by-step explanation:
Since the leading coefficient of the function is greater than 0, then it opens upward.
I have an equation that I have an answer but no idea how it's solution works. This is an example for using the squeeze theorem, and the answer is 0:
[tex]f(x)=\frac{e\frac{-1}{13+\frac{1}{x^2}}\sin(1+cos\frac{\pi }{x^3})\sqrt{3x^4+5x^6}}{(x+x^\frac{1}{3})(3+arctan\sqrt{7+\frac{1}{x^8}})}[/tex]
The way the answer is arrived at is supremely confusing. Also the textbook used absolute values alongside inequalities when performing the algebraic manipulations (direct sub. doesn't work), which I also don't understand why. Please explain how this equations limit is zero in simple terms.
Step-by-step explanation:
You want to know how the squeeze theorem applies to help you find the limit of f(x) is zero as x approaches zero.
SummaryThe short of it is that you have ...
f(x) = [messy finite function] × [function that cleanly approaches 0 at x=0]
The zero product rule tells you that the product of any finite value and 0 is zero, so the limit of this product is 0 at x=0.
The graph in the attachment shows the "function that cleanly approaches 0" in red. When multiplied by the "messy finite function", the result is the blue curve. You can see that the result is a function that has a limit of 0 at x=0.
How to get thereHere, we'll decompose f(x) into two parts:
messy finite function (g(x))function that cleanly approaches zero at x=0 (h(x))Messy finite function
The numerator sine function factor of f(x) gets increasingly messy as x approaches zero, due to the cosine term it contains. We can define ...
[tex]g(x)=\sin(1+\cos(\pi x^{-3}))[/tex]
Because this is a sine function, its value is always in the range |g(x)| ≤ 1.
Function cleanly approaching zero
The remaining factors of f(x) need to be rearranged a bit to make a function that obviously approaches zero at x=0. We do that by factoring ∛x from the denominator and rearranging the leading fraction.
[tex]h(x)=\dfrac{e\dfrac{-1}{13+x^{-2}}\sqrt{3x^4+5x^6}}{(x+x^{1/3})(3+\arctan\sqrt{7+x^{-8}})}\\\\=-e\dfrac{x^2}{13x^2+1}\cdot\dfrac{x^2\sqrt{3+5x^2}}{x^{1/3}(x^{2/3}+1)(3+\arctan{\sqrt{7+x^{-8}}})}\\\\h(x)=-e\dfrac{x^{11/3}\sqrt{3+5x^2}}{(13x^2+1)(x^{2/3}+1)(3+\arctan{\sqrt{7+x^{-8}}})}[/tex]
Recognizing that the arctangent term will approach π/2 as x→0, this can be (more or less) directly evaluated at x=0 to give ...
[tex]h(0)=-e\dfrac{0\cdot\sqrt{3}}{1\cdot1\cdot(3+\dfrac{\pi}{2})}=0[/tex]
The sign of h(x) will be opposite the sign of x. The graph of h(x) is shown in red in the attachment.
The squeezeAs h(x) approaches zero, the product ...
f(x) = g(x)·h(x)
approaches zero. This is the essence of the squeeze.
Starting from our description of g(x) above, we can multiply both sides of the inequality by the positive value |h(x)| to get ...
|g(x)| ≤ 1 . . . . . . . . . . the range of the sine function
|h(x)|·|g(x)| ≤ |h(x)|·1 . . . . . . multiply by |h(x)|
Simplifying, this is ...
|f(x)| ≤ |h(x)| . . . . true for all x
So, the limit is ...
[tex]\displaystyle \lim_{x\to0}|f(x)|\le\lim_{x\to 0}|h(x)|\\\\\lim_{x\to0}|f(x)|=0[/tex]
The attachment illustrates this nicely, showing that the oscillating f(x) has its amplitude limited by h(x), which approaches zero.
__
Additional comments
The limit of x^-8 is positive infinity as x approaches zero. This means the arctangent function argument is positive infinity as x approaches zero, so the function value is π/2. The sign of x is irrelevant.
We cannot tell if the fraction following "e" in this function is supposed to be an exponent. The two typeset versions of f(x) seem to show "e" as a multiplier, not the base of an exponential term. Even if an exponential term is what is intended, that term would approach 1 at x=0, so the conclusion here remains unchanged.
If you only have a 1/3 measuring cup and a recipe calls for 12 2/3 cups of flour, how many 1/3 cups would you need to use? 1/3 * t th cups
If we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour,then we would need 38 number of cups.
Given that we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour.
We are required to find the number of cups that are needed.
Fraction is the combination of two numbers,one above the division sign and other one below the division sign. The number which is above the division sign is known as numerator and the number which is below the division sign is known as denominator.
Measuring cup=1/3
Number of cups needed in recipe=12+2/3=38/3
Number of cups needed=38/3/1/3
=38 cups
Hence if we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour,then we would need 38 number of cups.
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What is the unit rate?
For the given proportional relationship, it is found that the unit rate is of 1.5 inches per second, and the meaning of the points is given as follows:
(0,0): 0 inches in 0 seconds.(1, 1.5): 1.5 inches in 1 second.(3, 4.5): 4.5 inches in 3 seconds.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, also called the unit rate.
For this problem, the unit rate is given as follows:
k = 4.5/3 = 1.5/1 = 1.5 inch per second.
The meaning of the points are given by:
(0,0): 0 inches in 0 seconds.(1, 1.5): 1.5 inches in 1 second.(3, 4.5): 4.5 inches in 3 seconds.More can be learned about proportional relationships at https://brainly.com/question/10424180
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The cost of producing 390 calculators is $3100. Producing 490 calculators would cost $3700. Assuming the total cost is a linear function, write an equation for the cost of producing x calculators?
Answer:
y = 6x + 760
Step-by-step explanation:
In the problem you are given two pairs of numbers. These are both a pair of inputs and outputs, (x, y):
(390, 3100) also,
(490, 3700)
Write an equation by finding and filling in m and b in the following equation:
y = mx + b
To find m, which is the slope of the line, subtract y-y and put that on top. Then subtract x-x and put that on the bottom. See image.
Next, find b by use EITHER pair of numbers to find b.
I used (390, 3100).
see image.
m = 6 and b = 760
Fill these into
y= mx + b
y = 6x + 760
In case they ask, this means each calculator takes $6 to make and it costs $760 to set up your operation even before you have made any calculators.
7
Yuki works at an aquarium. To clean a tank, she calculates of the tank's total volume, and
900
she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 L
of cleaning solution.
02/1
3
What is the total volume of the tank?
The total volume of the tank is 300L.
The volume of a 3D figure is the space that it occupies.
Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.
Let the total volume of the tank be V
We know that the cleaning solution required to clean this tank is 2 1/3 L
Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3
= 7/3 L
Thus, we can make the following equation,
(7/900)* V = 7/3
V = 7/3 (900/7)
V = 900/ 3
V = 300
Thus, the volume of the tank is 300L.
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Your question was incomplete. Check for full content here-
Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 1/3 L of cleaning solution. What is the total volume of the tank?
Answer:
300L
Step-by-step explanation:
Just did it on Khan academy.
I need help with 4B please. Thank you!
The equation to the tangent line to [tex]y = e^{(x^2)}[/tex] at point (1,0) is given by:
y = 2e(x - 1).
What is the equation to the tangent line of a function of a point?Supposing that we have a function f(x) at a point [tex](x_0, y_0)[/tex], the equation of the tangent line to this function is given by:
[tex]y - y_0 = f^{\prime}(x_0, y_0)(x - x_0)[/tex]
In which f' is the derivative.
In this problem, the function is:
[tex]f(x) = e^{(x^2)}[/tex]
Applying the chain rule, the derivative is:
[tex]f^{\prime}(x) = 2xe^{(x^2)}[/tex]
At x = 1, the derivative is:
[tex]f^{\prime}(1) = 2(1)e^{((1)^2)} = 2e[/tex]
Hence the tangent line at point (1,0) is given by:
y = 2e(x - 1).
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12x + 36 -14 -8x +5 =
Answer:
4x + 27
Step-by-step explanation:
12x + 36 - 14 - 8x + 5 Combine like terms (36, -14, 5)
12x + 27 - 8x Combine like terms (12x, -8x)
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observations. If required enter negative values as negative numbers (to 2 decimals).
Z-score of 10 is -1.25; Z-score of 20 is 1.25; Z-score of 12 is -0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.
How do we calculate the Z-scores of each observation?To calculate this, we use the following notations and formulas:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
SD = Standard deviation = Variance^0.5
Z-score = (x - Mean) / SD
Where;
n = number of obsrvations = 5
x = each observation
We now proceed as follows:
Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15
Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16
SD = Variance^0.50 = 16^0.5 = 4
Z-score of 10 = (10 – 15) / 4 = –1.25
Z-score of 20 = (20 - 15) / 4 = 1.25
Z-score of 12 = (12 - 15) / 4 = –0.75
Z-score of 17 = (17 - 15) / 4 = 0.50
Z-score of 16 = (16 - 15) / 4 = 0.25
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after raining for 3/4 of an hour a rain gauge is 2/5 filled. if it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?
Answer:8/15 part of rain gauge is filled after 1 hour.
Step-by-step explanation:
find the sum of the sequence 33 + 34 + 35 + 36 + . . . + 100
Answer:
230
Step-by-step explanation:
The harvest was cornucopian as it was 45 percent greater than last year. If the yield was 140795 bushels, how many bushels were harvested last year
After solving for x in the constructed equation, 97100 bushels were harvested last year.
What is an equation?
A mathematical statement known as an equation is consisting of two expressions joined together by an equal sign.A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.The point-slope form, standard form, and slope-intercept type are the three main types of linear equations.Constructing equation to determine no. of bushels.
Bales from the previous year = x + 0.45 x
= 140795 1.45 x
= 140795 X
= 97100 bales
After solving for x in the constructed equation, 97100 bushels were harvested last year.
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Answer:97100
Step-by-step explanation:
The equation
3x-15
= 4x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.
Answer:
15
Step-by-step explanation:
[tex]3x-15=4x \\ \\ x-15=0 \\ \\ x=15[/tex]
HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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What is the distance of this line segment?
Answer:
5 studs (3^3)
(3^3) = 5
Step-by-step explanation:
The sales tax in Jorge's state is 7%. Jorge bought a Ford Mustang having a sales tax of $1,928.22. What was the cost of the car?
The cost of the car is $27,546
How to calculate the cost of the car ?The sales tax is 7%
Jorge bought a ford mustang having a sales tax of $1,928.22
Therefore the cost of the car can be calculated as follows
1928.22÷ 7/100
= 1928.22/0.07
= 27,546
Hence the cost of the car is $27,546
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A researcher who is interested in the behavior of chimps believes that temperature is related to aggression in this species of animal. She goes out to her local zoo during a particular weekend and adjusts the temperature of their climate-controlled habitat to 50-degrees, 70-degrees and 90-degrees Fahrenheit over the course of three days, noting the number of aggressive acts she observes at each temperature level.
A) What is the independent variable?
B) What is the dependent variable?
C) Is the dependent variable discrete or continuous?
D) What scale of measurement (nominal, ordinal, interval or ratio) is used to measure the dependent variable? What research method is being used (experimental or observational), and why?
The experimental research conducted by the scientist takes into account the following factors:
a)The change in temperature is the independent variable.
b) The effect of temperature on the chimp's act of aggression is the dependent variable.
c)The dependent variable is continuous.
d)The scale of measurement used to measure the dependent variable is interval.
e) The research method being used here is experimental.
In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.
In this experiment there are two variables that are being used, independent and dependent.The independent variable is the change in temperature as it is regulated by the researcher.The dependent variable is the change in the aggressive nature of the chimps, as the change in nature is directly affected by the change in temperature. The dependent variable(mood of the chimp) is continuous, as the value cannot be defined separately.Since the data is not discreet but continuous , the scale of measurement used is interval.The research method being used is experimental , because the researcher is controlling the variable temperature to see the effect of the temperature change on the chimps. So the researcher is directly experimenting on the chimps by changing an external factor. So the experiment is not observational.To learn more about research experiment and variables:
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Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
Show less
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives? (Round per unit value to 2 decimal places.)
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
3a. Sales commissions per unit
3a. Number of units sold
3a. Total sales commission $0
3a. Fixed portion of sales representatives’ compensation
3a. Total direct selling expense $0
3b. The total indirect selling expense
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.
3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200.
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
Data and Calculations:Relevant production range = 12,000 to 16,000 units
Production and sales units = 14,000 units
Average Cost
per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Direct cost per unit $13.40
Fixed manufacturing overhead $ 5.30
Total manufacturing cost per unit $18.70
Fixed selling expense $ 3.80 $53,200 ($3.80 x 14,000)
Fixed administrative expense $ 2.80 $39,200 ($2.80 x 14,000)
Total fixed costs per unit $6.60 $92,400 ($6.60 x 14,000)
Variable selling and admin:
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Total variable selling and admin per unit = $2.10
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).
3) Fixed selling expenses = $53,200 ($3.80 x 14,000)
Advertising expenses = $39,200
Sales Compensation = $14,000 ($53,200 - $39,200)
Sales Commission = $18,200 ($1.30 x 14,000)
Total Salespersons' compensation = $32,200
a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200 (14,000 x $1.30)
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
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What is the area of FGH? (Please help it’s due tmrw !! I’ll mark you brainliest)
Answer:
102.0625 square units
Step-by-step explanation:
First determine the length of each side using the distance formula for two points. Then use Heron's formula to determine the area of a triangle given three sides
Distance Formula
The distance between two points is the length of the path connecting them
The distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
Let's compute the lengths of the sides FH, FG and HG
The three vertices are F(-2, 5) G(7, -10) and H(-9, -6) as indicated on the graph
So length FG between (-2,5) and (7,-10)
[tex]FG= \sqrt {(7 - (-2))^2 + (-10 - 5)^2}[/tex]
[tex]= \sqrt {(9)^2 + (-15)^2}[/tex]
[tex]= \sqrt {{81} + {225}}[/tex]
[tex]= \sqrt {306}[/tex]
FG [tex]= 17.492856[/tex] (round to 17.5)
Length FH between(-2,5) and (-9, -6) is
[tex]FH = \sqrt {(-9 - (-2))^2 + (-6 - 5)^2}[/tex]
[tex]= \sqrt {(-7)^2 + (-11)^2}[/tex]
[tex]= \sqrt {{49} + {121}}[/tex]
[tex]= \sqrt {170}[/tex]
FH [tex]= 13.038405[/tex] (can be rounded to 13.04
Length GH between (7, -10) and (-9, -6) is
[tex]GH = \sqrt {(-9 - 7)^2 + (-6 - (-10))^2}[/tex]
[tex]= \sqrt {(-16)^2 + (4)^2}[/tex]
[tex]= \sqrt {{256} + {16}}[/tex]
[tex]= \sqrt {272}[/tex]
GH [tex]= 16.492423[/tex] (can be rounded to 16.5)
Determining the area of a triangle given 3 sides
Heron's formula allows us to find the area of a triangle given 3 sides If the sides are a, b and c the general form of Heron's formula is
[tex]Area = \sqrt {s(s-a)(s-b)(s-c)}[/tex]
where s is the semi-perimeter = [tex]\frac{a+b+c}{2}[/tex]
Substituting values we get
s = [tex]\frac{17.5+13.04+16.5}{2} = 23.52[/tex]
[tex]Area = \sqrt {23.52(23.52-17.5)(23.52-13.04)(23.52-16.5)}[/tex]
[tex]= \sqrt{23.52\cdot6.02\cdot10.48\cdot7.02}[/tex]
[tex]102.0625[/tex] square units
Paula refills the flour bin after it has been empty for a while. She pours in the flour at a constant rate. She stops pouring flour when the bin is full.
Which graph could represent this scenario?
Answer:
a
Step-by-step explanation:
because the chart matches the scenario
how does the vertical line test work?
Answer:
To see if something is a function, just draw lines down the graph, if it touches the line twice, then that means it does not pass the vertical line test, meaning it is not a function
(By the line, I mean what you wrote on the paper,)
For example, a parabola is a function, because when you do the vertical line test, it only touches the line at one point, and not two,
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
(I included a picture that should help explain better)
question 9: please help me asap !!!!
Answer:
8a-2ab
Step-by-step explanation:
5a-2b+2b+3a-2ab
Simplify 'a'
5a+3a=8a
Simplify 'b'
2b+2b=4b
8a-2ab
Help fast please pamdas
(2thousands 7 tens) multiple by 10
Answer:
207 2 hundreds seven ones
Step-by-step explanation:
The sets J and I are given below.
J=(-2, 3, 4, 5, 6, 8)
I=(-2, 0, 4, 8)
Find the union of J and I. Find the intersection of J and I. Write your answers using set notation (in roster form).
The intersection is the set of all elements in both sets, so the answer is {-2, 4, 8}.
The union is the set of all elements in at least one of the sets, so the answer is {-2, 0, 3, 4, 5, 6, 8}.
Find the area of the figure. (Sides meet at right angles.)
Answer:
70in²Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
1 rettangle on a square
Area Rectangle
(2+2+5)*5=
9*5=
45in²
Area of the Square
5*5=
25in²
sum
45+25=
70in²
reflection across the y-axis please I need help
