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alexira [117]
2 years ago
5

A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite

corner?
56 ft

47 ft

50 ft

53 ft
Mathematics
1 answer:
sp2606 [1]2 years ago
7 0

Answer:

53

Step-by-step explanation:

We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.

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You are right: the graph does not represent a proportion, because it does not go thru the origin.


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What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9
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<h3>How to determine the difference?</h3>

The expression is given as:

\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}

Factor the denominators of the expressions:

\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}

Apply the difference of two squares to x² - 9

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Take LCM

\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Hence, the difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

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