15p+15p+25p=30p+25p=55p
Answer:
The equation of line is: ![\mathbf{4x-3y=-18}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x-3y%3D-18%7D)
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: ![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have ![x_1=-6,y_1=-2, x_2=-3, y_2=2](https://tex.z-dn.net/?f=x_1%3D-6%2Cy_1%3D-2%2C%20x_2%3D-3%2C%20y_2%3D2)
Putting values and finding slope
![Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B2-%28-2%29%7D%7B-3-%28-6%29%7D%5C%5CSlope%3D%5Cfrac%7B2%2B2%7D%7B-3%2B6%7D%20%5C%5CSlope%3D%5Cfrac%7B4%7D%7B3%7D)
So, we get slope: ![m=\frac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B3%7D)
Finding y-intercept
Using point (-6,-2) and slope
we can find y-intercept
![y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C-2%3D%5Cfrac%7B4%7D%7B3%7D%28-6%29%2Bb%5C%5C-2%3D4%28-2%29%2Bb%5C%5C-2%3D-8%2Bb%5C%5Cb%3D-2%2B8%5C%5Cb%3D6)
So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope
and y-intercept b = 6 is
![y=mx+b\\y=\frac{4}{3}x+6](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7Dx%2B6)
Now transforming in fully reduced form:
![y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4x%2B6%2A3%7D%7B3%7D%20%5C%5Cy%3D%5Cfrac%7B4x%2B18%7D%7B3%7D%20%5C%5C3y%3D4x%2B18%5C%5C4x-3y%3D-18)
So, the equation of line is: ![\mathbf{4x-3y=-18}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x-3y%3D-18%7D)
Distance = sqrt [ (7.5 - -3.0)^2 + (-7.5 - .5)^2) ]
= sqrt 17,226.56 = 131.25 (answer)
Answer:
(Choice B) B It decreases.
Step-by-step explanation:
According to the situation, the solution of the value of the expression is as follows
Let us assume
r 80 -2r
5 80 - 10 = 70
4 80 - 8 = 72
3 80 - 6 = 74
2 80 - 4 = 76
1 80 - 2 = 78
As we can from the above calculation that expression value risen if r value decreased
Therefore the correct option is B.