Answer:
Step-by-step explanation:
(
x + y
^)2 finds the area of the outer square by squaring its side length.
z² + 4(
1/2xy
) finds the area of the outer square by adding the area of the inner square and the four triangles.
Answer:
x ≈ 8.9
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, the the square of the tangent is equal to the product of the external part of the secant and the entire secant, that is
x² = 8(8 + 2) = 8 × 10 = 80 ( take the square root of both sides )
x = 
≈ 8.9 ( to the nearest tenth )
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
The answer is c because when it's in parenthaces squared it's the opposite (which is the horizontal shift) and the plus 1 is the vertical shift
