Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
If you are given the measure of angle 4, then we know angle 2 is equal since it is a vertical angle. The angle of a line is 180 degrees, so subtract the measure of angle 4 (and/or 2) which will give you the angle measure for both angle 1 and 3, since those are also equal due to vertical angles. Hope that helped! :)
Answer:
Step-by-step explanation:
2x²+8=80
2x²=80-8=72
x²=72/2=36
x=±√36
x=±6
so x=6 is one solution other is x=-6
Because we're given two points on the line, we can apply the slope formula to find the answer:
-4 - 8 / 2 - (-1)
-12 / 3
-4
<h3>The slope of the line is -4.</h3>
Answer:20 & 2
Step-by-step explanation:
20 x 2 =40
20+2=22
