F(x) = 4 - x^2
g(x) = 6x
(g - f)(x) = 6x - (4 - x^2)
(g - f)(3) = 6(3) - (4 - 3^2) = 6(3) - 4 + 3^2
Answer:
<h2><u>
A</u></h2>
Step-by-step explanation:
<h2>
You are going 2 up because it says plus 2 so A.</h2>
2b=12-18
2b=-6
b=-3
That is the answer
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
