You should add them up both of the sides
Answer:
The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.
The Area of a circle is
πr2=808.64
(3.14)r2=808.64
Divide both sides by 3.14
r2=257.5286624
Answer:
C. 40
Step-by-step explanation:
Answer:
1. (3x²y³z)²=9x⁴y⁶z²
2. (2m³n⁻⁴)³=8m⁹n⁻¹²
Step-by-step explanation:
Both questions require knowledge of two rules of indices/powers:
(xy)ᵃ=xᵃyᵃ (when numbers multiplied by each other are put to a power, that is equal to the product of each number to that power)
(xᵃ)ᵇ=xᵃᵇ (when a number to a power is put to another power, that is equal to the number to the power of the product of the powers)
1.
(3x²y³z)²
=(3²)(x²)²(y³)²(z²)
=(9)(x²⁽²⁾)(y³⁽²⁾)(z²)
=9x⁴y⁶z²
2.
(2m³n⁻⁴)³
=(2³)(m³)³(n⁻⁴)³
=(8)(m³⁽³⁾)(n⁻⁴⁽³⁾)
=8m⁹n⁻¹²
Hope this helps! :D
Answer:
4(x + 5)(x - 3)
Step-by-step explanation:
Given
4x² + 8x - 60 ← factor out 4 from each term
= 4(x² + 2x - 15) ← factor the quadratic
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then
x² + 2x - 15 = (x + 5)(x - 3)
Then
4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form