Answer:
15/2r - 40; Distributive Property
Step-by-step explanation:
You can use the Distributive Property to multiply the 5 across the expression in the parentheses.
5(3/2r - 8)
5 × 3/2r = 15/2r
5 × -8 = -40
Combine.
15/2r - 40
Hope this helps!
Answer:
there that should help
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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We can solve this equation by using the Square Root Method.
First, take the square root of each side of the equation:
(x-8)^2 = 144 becomes x-8 = 12
Then add 8 to both sides.
x=20
The original lawn was d. 20 feet by 20 feet.
Answer:
The shortest side = 5
Step-by-step explanation:
Call one side = a
The middle side = b
the hypotenuse = c
a^2 + b^2 = c^2
a^2 + b^2 = 13^2
a^2 + b^2 = 169
a + b + c = 30
a + b + 13 = 30
a + b = 17
b = 17 - a
a^2 + b^2 = 169
a^2 + (17 - a)^2 = 169
a^2 + (289 - 34a + a^2) = 169
a^2 + a^2 - 34a + 289 = 169 Subtract 169 from both sides
2a^2 - 34a + 289 - 169 = 0
2a^2 - 34a + 120 = 0 Divide by 2
a^2 - 17a + 60 = 0
This quadratic is easily factored. You need two numbers that add to - 17 and multiply to 60
(a - 5) * (a - 12) = 0 Both give you positive answers. You only want the shortest side
a - 5 = 0
a = 5 Is 5 the shortest side?
a - 12 = 0
a = 12 Yes 5 is the shortest side.
