There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)
2 answers:
9514 1404 393
Answer:
A. (3, 2)
Step-by-step explanation:
The midpoints of the diagonals are the same point, so you have ...
X = (A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . multiply by 2
A +C -B = D . . . . . . . subtract B
The coordinates of D are ...
D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)
D = (3, 2)
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Answer:
x = - 2, x = -
Step-by-step explanation:
Given
5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )
5x² + 13x + 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × 6 = 30 and sum = 13
The factors are 10 and 3
Use these factors to split the x- term
5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )
5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(5x + 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -