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lutik1710 [3]
2 years ago
10

1 point

Mathematics
1 answer:
SashulF [63]2 years ago
5 0

Answer:

The length of the slide is 10 feet.

Step-by-step explanation:

To find the length of the slide you have to use the formula:

a^2 + b^2 = c^2 (^2 means squared)

In this case:

a= 6 and b=8 c= unknown

6 squared (6 times 6) is 36

8 squared (8 times 8) is 64

Add these two numbers to get:

36+64=100

6^2+8^2=100

However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.

What number times itself equals 100? 10.

The length of the slide in 10 feet.

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Answer:

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Step-by-step explanation:

<h2>Simplify:</h2>
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Start by multiplying 7x³ by x² and -5.

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Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

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  • 21875 + 5000 - 4375 - 1075 + 15

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This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

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Multiply the terms in the first bracket next.

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Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

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This is the answer when substituting x = 5 into the original (unsimplified) expression.

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