Answer:
$142.03
Step-by-step explanation:
123.50 x 0.15 = 18.53
123.50 + 18.53 = 142.03
Answer:
Step-by-step explanation:
Marty's earnings = 8.50 x 19.5 = 165.75
Answer:
-2/3
Step-by-step explanation:
equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)
Perpendicular bisector lies at the midpoint of a line
Lets find mid point of (-9,-8) and (7,-4)
midpoint formula is
![\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D)
![\frac{-9+7}{2} ,\frac{-8+-4}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%2B7%7D%7B2%7D%20%2C%5Cfrac%7B-8%2B-4%7D%7B2%7D)
midpoint is (-1, -6)
Now find the slope of the given line
(-9,-8) and (7,-4)
![slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%3D%20%5Cfrac%7B-4-%28-8%29%7D%7B7-%28-9%29%7D)
![slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B-4%2B8%7D%7B7%2B9%7D%3D%20%5Cfrac%7B4%7D%7B16%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
Slope of perpendicular line is negative reciprocal of slope of given line
So slope of perpendicular line is -4
slope = -4 and midpoint is (-1,-6)
y - y1 = m(x-x1)
y - (-6) = -4(x-(-1))
y + 6 = -4(x+1)
y + 6 = -4x -4
Subtract 6 on both sides
y = -4x -4-6
y= -4x -10
equation for the perpendicular Bisector y = -4x - 10