A.(2,1)
1 answer:
Answer:
D(6, 3)
Step-by-step explanation:
The diagonals of a rectangle bisect each other, so the midpoint of AC is the same as the midpoint of BD. This means ...
(A +C)/2 = (B +D)/2 . . . . the midpoints are the same
A +C = B +D . . . . . . . . . multiply by 2
D = A +C -B = (2+5-2, 1+5-3) . . . . . solve for D, substitute given coordinates
D = (6, 3)
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Answer:
B
Step-by-step explanation:
Given
y = (x - 3)(x - 13)
Find the zeros by setting y = 0, that is
(x - 3)(x - 13) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 13 - 0 ⇒ x = 13
The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, thus the x- coordinate of the vertex is
=
=
= 8
Substitute x = 8 into the equation for the corresponding y- coordinate
y = (8 - 3)(8 - 13) = 5(- 5) = - 25
vertex = (8, - 25 ) = (u, v) → with v = - 25 → B