<h3>
Answer: -20</h3>
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Work Shown:
Let x be the location of E on the number line.
Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2
midpoint = (endpoint1 + endpoint2)/2
C = (E+F)/2
Plug in E = x, C = -8 and F = 4. Then solve for x
C = (E+F)/2
-8 = (x+4)/2
(x+4)/2 = -8
x+4 = 2(-8) .... multiplying both sides by 2
x+4 = -16
x = -16-4 .... subtract 4 from both sides
x = -20
The location of point E on the number line is -20
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As a check, lets add E and F to get E+F = -20+4 = -16
Then cut this in half to get -16/2 = -8, which is the proper location of point C
This confirms our answer.
Answer: The answer is the square root of 5.
Step-by-step explanation:
Given:
Equation of a line is
![3x-4y=8](https://tex.z-dn.net/?f=3x-4y%3D8)
To find:
The equation of line in slope intercept form that is parallel to line a and goes through point (24, 6).
Solution:
If a linear equation is
, then
![Slope=-\dfrac{a}{b}](https://tex.z-dn.net/?f=Slope%3D-%5Cdfrac%7Ba%7D%7Bb%7D)
In the equation
, a=3 and b=-4, thus the slope of the line is
![Slope=-\dfrac{3}{-4}](https://tex.z-dn.net/?f=Slope%3D-%5Cdfrac%7B3%7D%7B-4%7D)
![Slope=\dfrac{3}{4}](https://tex.z-dn.net/?f=Slope%3D%5Cdfrac%7B3%7D%7B4%7D)
We know that, slope of two parallel lines are same. So, slope of parallel line is
![m=\dfrac{3}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B3%7D%7B4%7D)
The parallel line passes through (24, 6) and have slope
, so the equation of line is
![y-6=\dfrac{3}{4}(x-24)](https://tex.z-dn.net/?f=y-6%3D%5Cdfrac%7B3%7D%7B4%7D%28x-24%29)
![y-6=\dfrac{3}{4}(x)-\dfrac{3}{4}(24)](https://tex.z-dn.net/?f=y-6%3D%5Cdfrac%7B3%7D%7B4%7D%28x%29-%5Cdfrac%7B3%7D%7B4%7D%2824%29)
![y-6=\dfrac{3}{4}(x)-18](https://tex.z-dn.net/?f=y-6%3D%5Cdfrac%7B3%7D%7B4%7D%28x%29-18)
Add 6 on both sides.
![y=\dfrac{3}{4}(x)-18+6](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B4%7D%28x%29-18%2B6)
![y=\dfrac{3}{4}(x)-12](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B4%7D%28x%29-12)
Therefore, the equation of parallel line in slope intercept form is
.
Answer: is not a lot of points but thx for the points
it is 5 points
Step-by-step explanation: have a nice day