Answer:
y = 2x-2
Step-by-step explanation:
First find the slope of the line
x+2y=6
2y = -x+6
y = -1/2x +3
This is in slope intercept form ( y = mx+b) so -1/2 is the slope
We want a line that is perpendicular so take the negative reciprocal of the slope
- ( 1/ (-1/2)) = 2
The slope of the perpendicular line is 2
y = 2x+b
Substitute the point into the equation
8 = 2(5) +b
8 = 10+b
-2 =b
The equation of the line perpendicular is
y = 2x-2
Domain is all real numbers
Range i forgot I’m sorry
G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)
= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)
g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0
x = 2 or x = 0.5
7 7/8 in mixed number form.
