(3x - 1)(3 -x)+x^2 + 19
a)
(3x - 1)(3 -x)+x^2 + 19
=9x - 3x^2 - 3 + x + x^2 + 19
= -2x^2 + 10x + 16
b) evaluate at x = 2
-2x^2 + 10x + 16
= -2 (2^2) + 10(2) + 16
= -8 + 20 + 16
= 28
c)
from part (a)
-2x^2 + 10x + 16
= -2 (x^2 - 5x - 8) (complete factor)
Answer:
x = 82.1º
Step-by-step explanation:
tan = opp/adj
tan75 = x/22
multiply both sides by 22
22 * tan75 = x
use calculator
82.1051177665153 = x
Rounded
x = 82.1º
Answer:
Step-by-step explanation:
(-3,-3) ; (8,-3)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-[-3]}{8-[-3]}\\\\=\frac{-3+3}{8+3}\\\\=0](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3-%5B-3%5D%7D%7B8-%5B-3%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3%2B3%7D%7B8%2B3%7D%5C%5C%5C%5C%3D0)
Slope = 0. so, the line is parallel to x-axis
Answer:
You can't be sure without an image.
Step-by-step explanation:
If one moves left or right, that's a horizontal translation.
If one moves up or down, it's a vertical translation.
A dialation is when the image gets smaller or bigger.
53°
Step-by-step:
- All angles in a triangle add up to 180°.
- Since your triangle is a right angle triangle, one of the angles are 90°.
- You already know another one, 37°.
- All you have to do to find the last one is to subtract the two you already know from 180.
180 - (90+37)
= 180 - 127
= 53
The measure of the last angle is 53°.
