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Iteru [2.4K]
2 years ago
12

Calculate the distance between each point to the store. Please help, will give brainliest

Mathematics
1 answer:
SOVA2 [1]2 years ago
8 0

Answer:

see in this picture, the point of Lake House is (-2;5)

                               the point of Cabin is (6;3)

                               the point of Store is (-4;-5)

=> the distance between Lake House to Store is \sqrt{(-4-(-2))^{2}+(-5-5)^{2}  }=2\sqrt{26}

the distance between Cabin to Store is \sqrt{(-4-6)^{2}+(-5-3)^{2}  }=2\sqrt{41}

Step-by-step explanation:

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1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:

24 = 2w + 2l

4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

24 = 2w + 2l

if l = w + 6, then: 24 = 2w + 2(w + 6)

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Step 1

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