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Anarel [89]
3 years ago
5

(I really need help) FGHIJ ~ YUVWX. Find UY and GH.

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

UY = 90

GH = 4

Step-by-step explanation:

Given that FGHIJ ~ YUVWX, therefore, their corresponding side lengths would be proportional to each other. Thus:

UY/GF = VW/HI

UY/10 = 63/7 (Substitution)

UY/10 = 9

UY = 10*9

UY = 90

In the same vein, we have:

VW/HI = UV/GH

63/7 = 36/GH (Substitution)

9 = 36/GH

GH*9 = 36

GH = 36/9

GH = 4

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y<br>{-2, 1}<br>{-2, 3}<br>{}
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Answer:

{-2, 1}

Step-by-step explanation:

\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}

Make the fractions have a common denominator.

\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

2y^2-y+12=3y^2+10

Now, set the equation equal to zero and factor.

2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1

The y-values are {-2, 1}

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Step-by-step explanation:

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