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boyakko [2]
3 years ago
12

Simply the equation and show your work

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

y^2   +2x^2 y

----------------------

5 xy^2   - 6 x^2

Step-by-step explanation:

1/x^2 +2/y

-------------------

5/x - 6/y^2

Multiply the top and bottom by x^2y^2 to clear the fractions in the numerator and denominator

1/x^2 +2/y               x^2y^2

------------------- * ---------------------------

5/x - 6/y^2               x^2y^2

Distribute

1/x^2 *  x^2y^2   +2/y *x^2y^2

---------------------------------------------

5/x  * x^2y^2   - 6/y^2* x^2y^2


y^2   +2x^2 y

----------------------

5 xy^2   - 6 x^2

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The mathematical representation for the length of the diagonals is

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A rectangular park had a perimeter of 18 miles. It is 7 miles wide. What is the area of the park?
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In the triangle below, 4/5 represents which ratio?
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<span><u><em>Answer:</em></u>
sin (C)

<u><em>Explanation:</em></u>
<u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>\frac{opposite}{hypotenuse}
<span>
cos (theta) = </span>\frac{adjacent}{hypotenuse}
<span>
tan (theta) = </span>\frac{opposite}{adjacent}<span>

<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>\frac{4}{5}<span>

<u>Second option:</u>
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>\frac{4}{5}
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

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