Answer:
see explanation
Step-by-step explanation:
Given
(2m + 5n)² = (2m + 5n)(2m + 5n)
Each term in the second factor is multiplied by each term in the first factor, that is
2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis
= 4m² + 10mn + 10mn + 25n² ← collect like terms
= 4m² + 20mn + 25n² ← perfect square trinomial
Complete Question
Kelvin finished 2/3 of his test in a 1/2 hour. Express this rate in hours per test.
Answer:
3/4 hours per test
Step-by-step explanation:
2/3 of his test = 1/2 hour
This rate in hours per test is calculated as:
x = 1/2 /2/3
x = 1/2 hour ÷ 2/3 test
x = 1/2 × 3/2
x = 3/4 hours per test
This rate in hours per test is given as 3/4 hours per test
(6x-18)(x+4)/(3x-9)=6(x-3)(x+4)/3(x-3)=2(x+4)=2x+8
Answer:
17 feet
Step-by-step explanation:
A bag of lawn fertilizer covers 289 square feet
Dimensions of the largest square plot of lawn that the bag of fertilizer will cover.
Area of a square lawn = length^2
Area of the square lawn = 289 square feet
Area of a square lawn = length^2
289 = length^2
Find the square root of both sides
√289 = √length^2
17 = length
Length = 17 feet
Dimensions of the largest square plot of lawn that the bag of fertilizer will cover = 17 feet by 17 feet
