keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]
Write each equation in function notation. y=12+3/4x
Step-by-step explanation:
y = f(x)
this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.
so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),
y = 12 + (3/4)x
is the same as
f(x) = 12 + (3/4)x
you could also write it as
f(x) = 12 + 3x/4
don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.
please help !!!! ASAP Thank you in advance :) !
whats the answer for 5x5/2
It took 5 hours to drive to Durham to Birmingham. The average speed was 48mph. What was the distance from Durham to Birmingham?
I need the explanation
Answer:
240 miles
Step-by-step explanation:
Because it took 5 hours going 48 miles per hour, therefore 5 x 48 =240
A researcher measures eye color for a sample of n = 50 people. which measure of central tendency would be appropriate to summarize the measurements?
According to the statement:
Mode measure of central tendency would be appropriate to summarize the measurements.
The correct option is B.
Briefing:We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.
When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.
What is mean ,Midian and mode?Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.
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I understand that the question you are looking for is:
A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?
Select one:
a. weighted mean
b. mode
c. median
d. mean
A hockey team has 6 forwards, 4 defensemen, and 2 goalies. at any time, 3 forwards, 2 defensemen, and 1 goalie can be on the ice. how many combinations of players can a coach put on the ice?
A coach may use 240 different player combinations on the rink.
What are some permutation and combination examples?
The arrangement of people, numerals, numbers, alphabets, letters, and colors are a few examples of permutations.
Combinations include picking the meal, the cuisine, the attire, the subjects, and the team, for instance.
Forward 6C3 = 20
Defence 4C2 = 6
Golie 2C1 = 2
No. of possible Combination = 20 * 6 * 2 = 240
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How do i write the value of this underlined digit 2.439 and 1.987 and 6.175 0.618
The value of the underlined digit 2.439 , 1.987 , 6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.
As given in the question,
Given number = 2.439 , 1.987 , 6.175 , and 0.618
Value of underlined digit :
2.439 = Tenth or 4 / 10
1.987 = Thousandth or 7/1000
6.175 = Ones or 6
0.618 = Hundredth or 1/100
Therefore, the value of the underlined digit 2.439 , 1.987 , 6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.
The complete question is :
How do i write the value of this underlined digit 2.439 , 1.987 , 6.175 , and 0.618 ?
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find the midpoint of each line segment. WILL GIVE BRAINLIEST!!
one on right is 2,-2 and one on left is -1,1
(PLS HURRY ASAP 100 POINTS)
(Theoretical Probability MC)
The tree diagram represents the sample space for the repeated experiment of a coin being tossed 4 times.
Determine P(at least 3 tails).
A: 0.025
B: 0.0625
C: 0.125
D: 0.3125
Answer:
D) 0.3125====================
Total number of outcomes is 16, count of all outcomes.
Number of outcomes with 3 or more tiles is 5:
HTTT, THTT, TTHT, TTTH, TTTTThe probability is:
P = favorable outcomes / total outcomesP(at least 3 tails) = 5/16 = 0.3125Correct choice is D.
The ratio of girls to boys in a a gardening club was 6:2 there were 16 boy how many are girls
Answer:
I don't know
Step-by-step explanation:
tdhdujdjbd
Kofi is 5years older than Ama now. Two years ago, Kofi was twice as old as Ama. Find their ages now.
Answer:
Ama is an elephant so she is 2 years old
Step-by-step explanation:
Select all of the terms that are "like."
x^2
2x^2y
-xy
1/2 xy
xy^2
2xy
The like terms are -xy, 1/2xy and 2xy
How to select all of the terms that are "like."?Like terms are expressions that have the same variable factor
Take for instance, 2x and 5x are like terms because their variable factors are x
Also, 5x and 2xy are not like terms
Using the above as a guide, the like terms are -xy, 1/2xy and 2xy
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Find the area of the shaded region. All angles are right angles.
5m
30 m
20m
5m
1. Which of the following shows the statement 4 less than 12?
a. 4 - 12
b. 12 + 4
c. 12 - 4
d. 4 + 12
Answer:
C is correct
Step-by-step explanation: please let me know if it was rong
j^² - 5k for j = -4 and k = -1
Answer:
21
Step-by-step explanation:
Hello!
Substitute the values of j and k and evaluate.
Evaluate[tex]j^2 - 5k[/tex][tex](-4)^2 - 5(-1)[/tex][tex]16 + 5[/tex][tex]21\\[/tex]The evaluated value is 21.
Fill in the blank if sin=3/5, then cos=
Answer:
cos = 4/5
Step-by-step explanation:
having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5
cos = adjacent side/ hypotenuse
sin= opposite side/ hypotenuse
since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.
hope this helps! if you have any more questions just ask
What is 210 divided by 5
Answer:42
Step-by-step explanation:
m Ixl math...............
Answer:
baby help you with what? All i can do is pray for you,
Step-by-step explanation:
matter of fact bow yo head..............Amen
Directions: Determine whether each relation is a function. Explain your answer.
7) No, y has two different values when x = -1.
8) Yes, each value of x maps onto only one value of y.
9) Yes, each value of x maps onto only one value of y.
In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four times the measure of the second angle. if the total number of degrees in a triangle is 180 what is the measure of the largest angle?
The greatest angle in the given triangle is 104 degrees.
What is a triangle?The polygon with 3 sides, three vertices, and three angles is known as a triangle. A triangle's overall number of degrees is always 180 degrees.Given:
Let, the second angle has a measurement of x degrees.The first angle's measurement is 24 degrees greater than the second angle's measurement. As a result, the first angle is (24+x) degrees.The third angle is four times as large as the second. As a result, the third angle has a measure of 4x.So,
(24 + x) + x + 4x = 1806x = 124 - 486x = 156x = 156/6x = 26As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
= 24 + 26= 50As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
4 × 26 = 104Therefore, the greatest angle in the given triangle is 104 degrees.
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One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.
Answer:
4725
Step-by-step explanation:
105 students
think of 100 students
100 × 45 = 4500
now the remaining 5 students
cost for 10 students will be
45 × 10 = 450
divide 450 by 2 to find out for 5 students
it is 225
4500 + 225 = 4725
Anyone can help me thanks
Answer:
When expenses are greater than revenue (first choice)
Step-by-step explanation:
Answer:
When expenses are greater than our revenue
Find the value of x using the diagram below.
Given x is Complimentary angle
Also, line1 is parallel to line2
Thus,
x [tex]+[/tex] 139° [tex]=[/tex] 132° [Alternate angle]
x [tex]=[/tex] 132°[tex]_[/tex][tex]_[/tex]- 139°
x[tex]=[/tex] -7°
What is Complimentary angle?
When two angles are added together, complementary angles are defined. When the total of the two angles is 90 degrees, we get a pair of complimentary angles. In other terms, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.
If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complimentary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.
60° + 30° in the illustration below equals 90°. These two angles are therefore complimentary according to the "Definition of Complementary Angles." The term "complement" refers to each angle that is one of the complimentary angles. Here,
The opposite of 30° is 60°.
The opposite of 60° is 30°.
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=. What does the expression (x+3)(9) represent? Why?
PLS HELP A LITTLE LOST Sally is 3 years younger than Sue. The sum of their ages is 27. How old is Sally?
Answer:
Sally is 12 years old.
Step-by-step explanation:
[tex]2x+3=27\\2x+3-3=27-3\\2x=24\\\frac{2x}{2}=\frac{24}{2}\\x=12[/tex]
15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8
a. 42
b. 74
c. 84
d. 106
e. 138
The measure of the angle 8 is option (d). 106.
Measure of Angle
Angle measurement is the amount of rotation from the initial to an endpoint of a ray.
Given,
Measure of Angle 2 = 8x + 10
Measure of angle 6 = x² - 38
Here we need to find the measure of angle 8.
Let us consider the angle 2 and 6 are corresponding angles.
Then,
Measure of Angle 2 = Measure of Angle 6
Apply the corresponding values,
Then we get,
8x + 10 = x² - 38
It can be written as,
=> x² - 38 - 8x - 10 = 0
=> x² - 8x - 48 = 0
When we factorize the equation,
Then we get,
=> (x + 4) ( x - 12) = 0
Then the value of x will be x = -4 and 12.
Here the value of x can't be negative.
So,
=> x = 12
Now apply the value of x on the measure of angle 2,
=> 8(12) + 10
=> 96 + 10
=> 106
So, the measure of angle 8 is option (d). 106.
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letter j, i need help i don’t really understand it doesn’t explain good enough
Answer:
3/5 < 3/4 (The symbol you need is <.)
Step-by-step explanation:
The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.
Comparing valuesIn general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).
You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.
FractionsAs you know, the denominator of a fraction tells you how many pieces the pie has been divided into.
In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.
In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.
A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...
1/5 < 1/4
When there are 3 pieces of each, this relation still holds:
3×(1/5) < 3×(1/4) ⇒ 3/5 < 3/4
__
Additional comment
Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.
If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.
Here, the denominators can be made to be 20 in each case.
[tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]
The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.
Scatter plots are used to visualize association in samples of paired data (x, y). group starts
a. true
b. false
Complete the standard form equation representing the quadratic relationship displayed above, where a,b, and c are consonants.
Answer:
y = - 2x² + 8x + 5
Step-by-step explanation:
the equation of a quadratic function in standard form is
y = ax² + bx + c ( a ≠ 0 )
to find a, b and c use ordered pairs from the table
(0, 5 )
5 = a(0)² + b(0) + c = 0 + 0 + c = 5 ⇒ c = 5 , then
y = ax² + bx + 5
(1, 11 )
11 = a(1)² + b(1) + 5 = a + b + 5 ( subtract 5 from both sides )
a + b = 6 → (1)
(2, 13 )
13 = a(2)² + b(2) + 5 = 4a + 2b + 5 ( subtract 5 from both sides )
4a + 2b = 8 → (2)
solve the 2 equations simultaneously to find a and b
multiplying (1) by - 2 and adding to (2) will eliminate b
- 2a - 2b = - 12 → (3)
add (2) and (3) term by term to eliminate b
2a + 0 = - 4
2a = - 4 ( divide both sides by 2 )
a = - 2
substitute a = - 2 into (1) and solve for b
- 2 + b = 6 ( add 2 to both sides )
b = 8
then a = - 2, b = 8 and c = 5 gives the standard quadratic function
y = - 2x² + 8x + 5
Step-by-step explanation:
standard equation would be
y = ax² + bx + c
out of that we know already from (0, 5) that c = 5, as
a×0² + b×0 + c = 5.
because of (-1, -5) we see
-5 = a×1 + b×-1 + 5 = a - b + 5
-10 = a - b
or
a = b - 10
because of (1, 11) we see
11 = a×1 + b×1 + 5 = a + b + 5
6 = a + b
now we use the previous equation :
6 = (b - 10) + b = 2b - 10
16 = 2b
b = 8
.
a = b - 10 = 8 - 10 = -2
so, our standard equation is
y = -2x² + 8x + 5
PLSSSS HELPPPPPP IM STUCK ON THIS
Answer:
1. 15.17ft 2. 18.57ft 3. 22.41%
Step-by-step explanation:
1. What was the length of one side of the garage originally?
Area of a square = s × s which is also equal to s²
s means one side of the square, as it is a square, all sides are equal.
so
230 = s²
s = √230 = 15.17
2. What is the length of one side of the garage now?
The original area of the garage was 230ft²
But now, the area has increased by 50%
Increased Area = 230 × 50% = 115ft²
Total Area = 230 + 115 = 345ft²
In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.
Area = s²
345 = s²
s = √345 = 18.57
3. What was the percentage increase of the length of one side?
Length : Percentage
15.17 : 100
18.57 : x
When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.
Now cross multiply
18.57 × 100 = 15.17x
1857 = 15.17x
1857/15.17 = x
x = 122. 41
The new percentage is 122.41%
The difference between both percentages is:
122.41 - 100 = 22.41
And 22.41 is the percentage increase.
