Answer:
D
Step-by-step explanation:
Given
x = 6 - x² ( subtract 6 - x² from both sides )
x² + x - 6 = 0 ← in standard form
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
- 3 × 2 = - 6 and 3 - 2 = + 1, thus
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Sum of solutions = - 3 + 2 = - 1 → D
Answer:
64 steps per minute
Step-by-step explanation:
864 / 13 1/2
OR
864 / 13.5
Both give us
64/1 = 64
Answer:
6 3/8 inches
Step-by-step explanation:
let 'x' = distance in 1 hr, 25 minutes (which is 85 minutes)
(3/8 ÷ 5) = x ÷ 85
cross-multiply:
5x = 255/8
40x = 255
x = 6 3/8
Answer:
0.485 x 10^ -6
Step-by-step explanation: .000000485= 0.485 x 10^ -6
To get the surface area of a sphere, we need to have the radius. We are given the circumference. The circumference formula is C=2πr. We need to solve for r.
23 = 2πr
r=3.66
The calculation for surface area is <span>A = 4πr^2.
</span>A = 4<span>π(3.66)^2
Solve for A.
A= 168 cm^2.</span>
