If the midpoint of segment lm where j(5, -1) and m(0, 6), then the coordinates of end point l is (10,-8)..
Midpoint:
Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.
The formula for the midpoint is,
[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
where,
[tex](x_m,y_m)[/tex] = coordinates of the midpoint
(x₁, y₁) = coordinates of the first point
(x₂, y₂) = coordinates of the second point
Given,
Midpoint = j = (5,-1)
Second point = m = (0,6)
Now, we have to find the first midpoint l.
Let (x,y) be the coordinates of l.
Then apply the values on the formula,
Then we get,
[tex](5,-1)=(\frac{x+0}{2},\frac{y+6}{2})[/tex]
Compare the values in order to find the coordinates,
=> 5 = (x + 0) / 2
=> 5 x 2 = x + 0
=> 10 = x
Similarly,
=> -1 = (y + 6) / 2
=> -1 x 2 = y + 6
=> -2 = y + 6
=> -2 - 6 = y
=> y = -8
Therefore, the coordinates of l is (10,-8).
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PLEASE HELP
i don’t understand geometry that well and i need to get this in soon
Step-by-step explanation:
Take Reference of Z-angle forward and backward and X-Angle if none are in this category then write none.
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five less than twice a number is 7 algebraic expression
Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? (5 points) negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answer:
D. Negative 1 over 12
Step-by-step explanation:
-1/3*1/4=-1/12
Hope this helps!
Please mark as brainliest if correct!
Answer:
-1/12, so D.
Step-by-step explanation:
-1/3(1/4)
-1/12
Please give brainliest, lol.
Evaluate the following function when x = -1 and x = 2 and determine the sum of the two results:
Answer:
J. 1
Step-by-step explanation:
Plug the x values into the equation:
f(-1)=3-(-1)^2
f(2)=3-(2)^2
Solve each one, then add.
3-(-1)^2=
=3-1=2
3-(2)^2=
=3-4=-1
Combine the answers together.
2-1=1
The answer is J. 1.
Hope this helps!
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can someone help, fasttt!
Answer:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Step-by-step explanation:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Roman earns $8.50 an hour as an intern at law firm. Usually he works 30 hours a week. This week however, there is a big case and he worked 47 hours. What is his gross pay for this week? (Standard overtime rules.)
The gross pay for this week after working overtime is $471.75.
What is the overtime pay rule?
The civil overtime vittles are contained in the Fair Labor norms Act, Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.
Usual earning Earning = $8.5 for 30 hours for a week
Overtime = 47 hours-30 =17 hours
Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week
Gross pay= ($8.5*30)+($12.75*17)
= 255 + 216.75
= 471.75.
The gross pay for this week after working overtime is $471.75.
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The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2
The transformed equation is:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
What is the equation?We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.
Remember that for a random function f(x), a shift of 2 units to the left is written as:
h(x) = f(x + 2).
Then, in this case, we can write:
F(x) = G(x + 2)
Replacing G(x), we can get the transformed equation:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
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Durante un entrenamiento, un ciclista da una vuelta a una pista circular en 105 segundos, mientras que otro tarda 60 segundos. Si ambos inician sus recorridos juntos, ¿en cuántos segundos será la próxima vez que coincidan en el punto de inicio?
Los ciclistas se encuentran aproximadamente 140 segundos después de partir.
¿En cuanto tiempo se encuentran dos ciclistas que se mueve a distintas rapideces constantes por primera vez?
En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:
ω = 2π / T (1)
Donde:
ω - Rapidez angular, en radianes por segundo.T - Período, en segundos.A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:
x / R = cos ωt (2)
y / R = sin ωt (3)
Donde:
x, y - Coordenadas del ciclista.R - Radio de la pista circular.Primero, determinar la rapidez angular de cada ciclista:
ω₁ = 2π / 105 s
ω₁ ≈ 0.060 rad / s
ω₂ = 2π / 60 s
ω₂ ≈ 0.105 rad / s
Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).
Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.
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14. Name one pair of rays that are not opposite rays.
Answer:
nothing there
Step-by-step explanation:
1. If we are told that (x+4)(x+7)=0, then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
2. If we are told that (3x-7)(2x+5)=0 then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
3.We want to solve the equation x^2-3x-40=0
First factor x^2-3x-40: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
4.We want to solve the equation 3x^2-11x-42=0
First factor 3x^2-11x-42: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
5.We want to solve the equation 10x^2+9x+2=0
First factor 10x^2+9x+2
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
1. x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. 3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. (x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
How to determine the values1. (x+4)(x+7)=0
We have that;
Zero product property;
x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. (3x-7)(2x+5)=0
We have that;
Zero product property ;
3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x² -3x - 40=0
x² -8x + 5x - 40 = 0
factorize the common multipliers
x(x - 8) + 5(x - 8) = 0
Zero product property;
x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. 3x² - 11x - 42=0
3x² +7x - 18x - 42 = 0
Factorize further
x(3x + 7) - 6(3x + 7) = 0
Zero product property;
(x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 10x² + 9x + 2 = 0
10x² + 5x + 4x + 2 = 0
Factorize
5x( 2x + 1) + 2 (2x + 1) = 0
Zero product property;
5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
Thus, the zero product property states that the product of two non-zero elements is not zero
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4x + 17 = 5x + 6 whats the answer
Answer:
x=11
Step-by-step explanation:
4x + 17 = 5x + 6
Solve for x
Subtract 4x from each side
4x-4x + 17 = 5x-4x + 6
17 = x+6
Subtract 6 from each side
17-6 = x+6-6
11 =x
Answer:
[tex] \sf \: x = 11[/tex]
Step-by-step explanation:
[tex] \sf \: 4x + 17 = 5x + 6[/tex]
Subtract both sides by 4x to remove 4x.
[tex] \sf4x + 17 - 4x = 5x - 4x + 6 \\ \sf 17 = x + 6[/tex]
Subtract both sides by 6 to remove 6 .
[tex] \sf17 - 6 = x + 6 - 6 \\ \sf11 = x[/tex]
Solve Multi-Step Equations
X/5-9=1
Answer:
50
Step-by-step explanation:
[tex]\frac{x}{5}-9=1 \\ \\ \frac{x}{5}=10 \\ \\ x=50[/tex]
Solve the given differential equation by undetermined coefficients. y'' 7y' 6y = 30
The complementary solution is Ус = C₁е¯ + C₂е¯ -6x
Consider the differential equation
=y" + 7y' + 6y = 30...(1)
Rewrite the equation,(D² + 7D + 6)y = 30 where
d /D = dx
Auxiliary equation is,
f(m) = 0
3 m³ +7m+6=0
m² + 6m+m+6=0
m(m+6) +1(m+6) = 0
(m +6)(m + 1) = 0
m = −1, −6 -6
Hence,
The complementary solution is Ус = C₁е¯ + C₂е¯ -6x
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1.4x 10 to the 3rd power
Answer:
1400x
Step-by-step explanation:
10^3 in scientific notation means to move the decimal 3 places to the right.
Unir las operaciones con el mismo resultado
(Ignoren los resultados)
Answer:
Step-by-step explanation:
1.
1) =7+(-4)=3
2) =13-8=5
3) =11+5=16
4) =-5-9=-14
5) =-8-1=-9
6) =-1-(-7)=6
7) =-10+13=3
8) =15-7=8
9) =-2+6=4
10) =9-4=5
11) =-1-8=-9
2.
[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]
Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
Women make up 64% of the sample and are typically the household's main investment.
There is a correlation between American women and being the main provider in their home.
What is Descriptive Statistics?Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.
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The correct question is - Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.
if LM=MP, then M must be the midpoint of LP.
True or False?
Answer:
True
Step-by-step explanation:
dividing both sides by M you are left with L=P
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars how much would he get
Answer:
25,09
Step-by-step explanation:
So, you've converted 2000 Indian Rupee to 25.145200 US Dollar. We used 79.538043 International Currency Exchange Rate. We added the most popular Currencies and CryptoCurrencies for our Calculator. You can convert Indian Rupee to other currencies from the drop down list. Selling 2000 Indian Rupee you get 25.145200 US Dollar
Answer:
$ 26
Step-by-step explanation:
Current exchange rate : 1 ruppee / .013 dollar
2000 r / (1 r / .013 dollar) = 26 dollars
Find the x-intercept and the y-intercept of the graph of the equation. 2x + 5y = 20
Astronauts brought back 500 lb of rock samples from the moon.how many kilograms did they bring back?1 kg = 2.20 lb227 kg227 kg498 kg498 kg500 kg500 kg1,100 kg
Astronauts brought back 500 lbs rock samples from the moon they brought back 227 kilograms of sample. The correct option is D.
Who, in brief, is an astronaut?
A space traveler is referred to as an astronaut. The term "astronaut" is currently used to designate to anyone traveling on a spaceship, including civilians, whereas it was previously reserved for military-trained experts.As the astronaut brought 550 lbs sample,
2.20lbs = 1 kg.
1 lbs = 1/2.20
1 lbs = 0.45
so, 500 lbs nearly implies 227kgs.
Thus, the correct option is D.
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Which is greater explain the reasoning
Answer:
0.00000057652
Step-by-step explanation:
5.764 × 10^-7 = 0.0000005764 (move the decimal place 7 steps forward)
0.00000057652>0.0000005764 (65>64)
Therefore 0.00000057652 is greater.
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I would love these answer please
The relation 1 is not a function, while the relation 2 is a function
How to determine if each relation is a function or not?For a relation to be a function, the following must be true:
Each y value in the function must have a unique x value
i.e. Each y value must have exactly one x value
Using the above as a guide, we have
Relation 1: This relation is not a function, because the x value 5 has two y values 2 and 4
Relation 2: This relation is a function, because each y value must have exactly one x value
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Help me out, Im not understanding what my answer is
21. Find the y-coordinate of point M, the midpoint of AB, for A(-3, 3) and B(5, 7).
(Lesson 1-4)
A. -1
B. 1
C. 2
D. 5
Answer:
The [tex]y[/tex]-coordinate of this midpoint is [tex]5[/tex].
Step-by-step explanation:
Let [tex]{\sf A}[/tex] and [tex]{\sf B}[/tex] denote two points in the cartesian plane.
If point [tex]{\sf A}[/tex] is at [tex](x_{a},\, y_{a})[/tex] while point [tex]{\sf B}[/tex] is at [tex](x_{b},\, y_{b})[/tex], the midpoint of [tex]{\sf AB}[/tex] would be at:
[tex]\begin{aligned}\left(\frac{x_{a} + x_{b}}{2},\, \frac{y_{a} + y_{b}}{2} \right)\end{aligned}[/tex].
In other words, the [tex]y[/tex]-coordinate of the midpoint of [tex]{\sf AB}[/tex] would be the average of the [tex]y\![/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex].
In this question, the [tex]y[/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex] are [tex]3[/tex] and [tex]7[/tex], respectively. The [tex]y\![/tex]-coordinate of the midpoint of [tex]{\sf A}\![/tex] and [tex]{\sf B}[/tex] would be the mean [tex](3 + 7) / (2) = 5[/tex].
How do I solve this question?
DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
∠TAC = ∠ABC (The angle between the chord and the tangent is equal to the angle in the alternate segment)
Since, EDCB is a cyclic quadrilateral,
∠CBD + ∠CED = 180 ----- I
- ∠CED + ∠AED = 180 -----II
----------------------------------------------------
∠ CBD = ∠AED
Also, ∠ CBD = ∠ EAT( A is tangent to the circle)
So, ∠ EAT = ∠ AED ( Alternate interior angle)
So, DE || ST
Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
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Square the binomial: (8y-5)^2
Answer:64y^2 −80y+25
Step-by-step explanation:
answer the question in the photo
Answer: input is h, output is k
Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution
Answer:
Step-by-step explanation:
What is the area of the shaded region?
Answer:
208
Step-by-step explanation:
4*30 = 120
(15-4) * 8 = 88
88 + 120 = 208
Answer:
208 cm
Step-by-step explanation:
Solving right side first. 8*15=120
Take out 8cm from 30. 30 - 8 = 22
22*4= 88
88 + 120 = 208
Check work I found the total area and the white rectangle.
15*30=450 which in total area
15-4=11 11 is the left/right side of the white rectangle
30-8=22 22 is the top/bottom side of the white rectangle.
22*11= 242
208+242=450
6/4 + 0.68
Jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
Multiple choices accepted
Group of answer choices
1.2 + 0.68 should have equaled 8.0
1.2 + 0.68 should have equaled 0.80
6/4 should have been changed to 1.5
6/4 should have been changed to 1.24
PLEASE ANSWER FASTTT IM TIMED
Answer
1.2 + 0.68 should have equaled 0.80
Step-by-step explanation:
jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct
How to solve the problemTo find the correct answer, let's first evaluate the expression step by step:
1. 6/4 is equal to 1.5, not 1.2.
2. 1.5 + 0.68 equals 2.18, this is not 1.88.
So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.
Therefore, the correct calculation is 1.5 + 0.68 = 2.18.
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