Answers:
- x = 4
- AB = 36
- BC = 36
- AC = 36
All three sides are 36 units long.
===========================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
- AB = 8x+4 = 8*4+4 = 32+4 = 36
- BC = 11x-8 = 11*4-8 = 44-8 = 36
- AC = 9x = 9*4 = 36
We get the same value for the three side lengths, so this confirms we have the correct x value.
Answer:
Step-by-step explanation:
Use the coordinates of the given points to find the slope.
difference in y-coordinates = -3 - 6 = -9
difference in x-coordinates = 2 - (-1) = 3
slope = -9/3 = -3
Answer:

Step-by-step explanation:






Answer:
The quotient is 2x^2 - x + 1.
Step-by-step explanation:
If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:
-1 / 2 1 0 1
-2 1 -1
----------------------
2 -1 1 0
The quotient is 2x^2 - x + 1. The coefficients were obtained through synthetic division.
Either one at any given time could be equal to zero. So
x + 2 = 0
x = - 2
x - 18 = 0
x = 18
I've enclosed a graph of this so you can see that the answers I've given are the ones expected.