The perpendicular bisector goes through the midpoint.
What is the midpoint of the 2 points?
We simply add up the x points and divide by 2. Then we add up the y points and divide by 2.
So,
Midpoint is:
![(\frac{3-9}{2},\frac{-1+5}{2})=(-3,2)](https://tex.z-dn.net/?f=%28%5Cfrac%7B3-9%7D%7B2%7D%2C%5Cfrac%7B-1%2B5%7D%7B2%7D%29%3D%28-3%2C2%29)
Also, the perpendicular bisector's slope is the negative reciprocal of the line's slope.
The slope of the line is change in y points divided by change in x points.
Slope =
![\frac{5--1}{-9-3}=\frac{5+1}{-12}=\frac{6}{-12}=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5--1%7D%7B-9-3%7D%3D%5Cfrac%7B5%2B1%7D%7B-12%7D%3D%5Cfrac%7B6%7D%7B-12%7D%3D-%5Cfrac%7B1%7D%7B2%7D)
The slope (m) of the perpendicular line (negative reciprocal) is basically:
![2](https://tex.z-dn.net/?f=2)
Equation of line is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m is the slope (what we got "2")
x1 and y1 are the respective point where it passes through (which is the midpoint, which is (-3,2)
So, equation of perpendicular bisector is:
Answer:
its C $12.40
Step-by-step explanation:
So regular price is $7.90 a pair
and now they are on sale THREE PAIR for $17.50, Now esteban bought SIX PAIR os sock
17.50+17.50 = 35
Lastly if you put it regular price $7.90x6 pairs = 47.4
Now for the final result
47.4 - 35 = 12.40 esteban save up
Answer:
It would be 110 because this is an obtuse angle and obtuse is over 90 degrees which is an right angle
Step-by-step explanation:
Answer:
If you need the answer as f by simplifying both sides of the equation and then isolating the variable, the answer would be:
![xf=\frac{3x^2}{5}-\frac{f(x)}{5}](https://tex.z-dn.net/?f=xf%3D%5Cfrac%7B3x%5E2%7D%7B5%7D-%5Cfrac%7Bf%28x%29%7D%7B5%7D)
Or, if you need to evaluate the function itself, the answer would be:
![f(x)=3x^2-5xf](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E2-5xf)
Answer:
T
Step-by-step explanation: