Area of a square is given by multiplying the length by the width, but since a square has four sides of equal length, we will end up multiplying two numbers that are the same.
We want a minimum area of 80 square feet and at the maximum of 125 square feet
Think of the square numbers that are in between 80 and 125
8 × 8 = 64
9 × 9 = 81
10 × 10 = 100
11 × 11 = 121
12 × 12 = 144
There are three possible measurements of the patio:
9 by 9 and number of tiles left = 125 - 81 = 44 tiles
10 by 10 and number of tiles left = 125 - 100 = 25 tiles
11 by 11 and number of tiles left = 125 - 121 = 4 tiles
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other
It's the graph of the function
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shifted 1 unit down
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Look at the picture.
Step-by-step explanation:
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The quadratic formula is honestly the most straightforward way of solving here.
Your other options are completing the square (which is the same thing as the quadratic formula but it's good to know that method if you have to take Integral Calculus at some point) or maybe factoring by grouping if it's appropriate. But the quadratic formula will work for you in all three equations:
1) a=1, b=0, c=8
This reduces pretty quickly into x=8i,-8i due to the negative under the radical. (Actually we didn't even really need the formula here.)
2) a=-9, b=4, c=-10
This reduces into x=(-4+i√(344))/-18, (-4-i√(344))/-18 and doesn't go any further because 344 isn't a perfect square.
3) a=1, b=8, c=17
This reduces to x=(-4+i), (-4-i)
So those are the answers for each.
Answer:
make25 men
Step-by-step explanation:
20 assembled 8 so divide 4 into 20 = 5
Divide 4 into 8 =2.
So it take 5 men to assemble 4
20 +5=25