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Ymorist [56]
3 years ago
8

The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is (x+6) feet. What is the le

ngth of the patio?
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Here's how you do it!

12+12+x+6+x+6=64

36+2x=64

2x=28

x=14

The length is 14 feet!

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Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

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Calculate D'G' using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

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3 years ago
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kompoz [17]

Answer: s = 36

Step-by-step explanation: The key to solving multistep equations is isolating the variable. This is why I first subtracted 14 on each side. This left me with 1/3s=12. Then, to isolate "s" even more, I didvided by 1/3 on each side. This gave me s = 36 as an answer.

To divide by a fraction, use "keep change flip." Keep the first mumber, change division to multiplication, and flip the fraction. I included a picture of me doing this.

If you have any other questions, please feel free to ask :)

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3 years ago
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Answer:

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There are a couple of ways one could approach this. The goal is to find out the factor by which the numbers are increasing. Looking at going from 8 -> 16, we have either added 8, or doubled 8. So the factor is either +8 or x2. Going from 16 -> 32, adding 8 no longer holds true, while multiplying by 2 (doubling 16) does. To confirm what we have found, we can further check our math by using the final two numbers, 32 -> 64, to confirm that the sequence pattern is to double the current number to achieve the next number.

Working backwards, we can half each number to find out the first two numbers in the sequence. 64/2 = 32, 32/2 = 16, 16/2 = 8, 8/2 = 4, 4/2 = 2

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