Answer: Additive Inverse
Step-by-step explanation: The Additive Inverse tells us that if we add
a number and the opposite of that number, the result will be 0.
Answer:
We need more information
Step-by-step explanation:
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
<em>Additional comment</em>
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Answer:
(fog)(x) = 1/(x-2) + 3
Step-by-step explanation:
f(x) = 1/x² +3 g(x) = √(x-2)
(fog)(x) = f(g(x)) = f( √(x-2)) = 1/(√(x-2))² +3
(fog)(x) = 1/(x-2) + 3