Answer:
Midpoint of a line segment with the endpoints A(a1, a2), B(b1, b2) is M(1/2*(a1 + b1), 1/2*(a2 + b2))
So,
(1/2*(-4 + 7), 1/2*(-3 + (-5))) = (1/2*3, 1/2*(-8)) = (1.5, -4)
Answer D is correct.
Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
The answer to your question is c.
