The value for c is A. 49. That comes from the process of completing the square where you take half the linear term, square it, and add it in. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So A
Recall that the equation of a line passing through two points (x1, y1 and (x2, y2) is given by the formula (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1).
Given that the line passes through the points (-4, 10) and (-1, 5), the equation of the line is given by (y - 10) / (x - (-4)) = (5 - 10) / (-1 - (-4)) = -5 / 3
3(y - 10) = -5(x + 4)
3y - 30 = -5x - 20
<span>3y = -5x + 10
5x + 3y = 10
y = -5/3 x + 10/3</span>
I think the answer would be D
18 = ab^2
60.75 = ab^5
from first equation:- a = 18/b^2
so
60.75 = (18/b^2) * b^5
60.75 = 18b^3
b = cube root (60.75 / 18)
b = 1.5
so a = 18/1.5^2 = 8
so the required equation is y = 8(1.5)^x