What is the value of x? (Image attached) help ASAP please! Double points and giving brainliest to first correct answer!:)
1 answer:
Answer:
The value of x = 5 answer (a)
Step-by-step explanation:
∵ There is a line parallel to the base of the Δ and intersected the other two sides formed a small Δ inside the large triangle
∴ The small Δ and the large Δ are similar
∴ Their sides are proportion
∴
∴
∴ x(2x - 1) = (x - 2)(2x + 5)
∴ 2x² - x = 2x² + 5x - 4x -10
∴ 2x² - x = 2x² + x - 10
∴ -x - x = -10
∴ -2x = -10
∴ x = -10 ÷ -2 = 5
You might be interested in
Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0