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den301095 [7]
3 years ago
10

Use the phrase below to answer the following questions. Seven less than m is equal to 39. Translate the phrase into an algebraic

equation. Now, use your equation to solve for m.​
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

m - 7 = 39

The answer is 46

Step-by-step explanation:

Add 7 to 39 to get the answer

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A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer regio
Gwar [14]

Answer: area of the outer part of the​ rug= 16 -x²

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a square: Side²

Since the area of the rug including the inner square is:  

Area of the rug = 4² =16 in²

And the area of the inner square is equal to:

Area if the inner square = x²

To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.

Area of the outer part of the rug= 16 -x²

Feel free to ask for more if needed or if you did not understand something.

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What is the measure of angle y?
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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8. According to the information in the table shown,
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3 years ago
Prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n
hodyreva [135]

Answer:

Proved

Step-by-step explanation:

Given

(n+5)^2-(n+3)^2

Required

Show that (n+5)^2-(n+3)^2 is a multiple of 4

Expand each bracket

(n+5)(n+5)-(n+3)(n+3)

Open brackets

n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)

n^2 + 10x + 25 - (n^2 + 6x + 9)

Open bracket

n^2 + 10x + 25 - n^2 - 6x - 9

Collect Like Terms

- n^2 + n^2 - 6n + 10n + 25  - 9

- 6n + 10n + 25  - 9

4n + 25  - 9

4n + 16

Factorize

4(n + 4)

Hence, the multiples of (n+5)^2-(n+3)^2 are 4 and (n + 4)

8 0
3 years ago
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