Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
Answer:
y= -6
Step-by-step explanation:
-4x and 4x are canceled out. -2y+8y= 6y. -12-24=-36
You are left with 6y=-36 . Divide from both sides and -36/6 is -6. So, y=-6.
Hope this helped.
Answer:
+ 2y \le 3.\]Plot the region $\mathcal{R},$ and identify the vertices of polygon $\mathcal{R}.$ (b) Find the maximum value of $x + y$ among all points $(x,y)$ in $\mathcal
Speeds
cutwrigth =35/84 =5/12 laps/min =0.417
evans =42/96.6=10/23 laps/min =0.435
loza =38/102.6 =10/27 laps/min =0.370
evans drove fastest
Answer:
18.
Step-by-step explanation:
g(x) = x + 3 so 2g(x) = 2x + 6
(f + 2g)(x) = (x - 2)^2 + 2x + 6
therefore
(f + 2)(4) = (4 - 2)^2 + 2(4) + 6
= 2^2 + 8 + 6= 18.
