Mario's grape vine grows 7.5 inches in 3 weeks. At this rate, how much will the grape vine grow in 15
2 answers:
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Louise wants to factorize completely the given polynomial
Grouping first, second terms together and third, fourth terms together
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Taking common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
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Taking (x+3) common from the given expression,
= is the completely factored form.
Hi there!
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to: