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nekit [7.7K]
3 years ago
8

(x^2+y)(x^4y^3)/xy^2

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

(x^2+y)x^3 y^5

Step-by-step explanation:

(x^2 + y)x^4 y^3 / x y^2

(x^2 + y)x^4 - 1 y^3 * y^2

(x^2 + 7)x^3 y^3 * y^2

(x^2 + y)x^3 y^3 +^2

(x^2 + y)x^3 y^5

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The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find
julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49

This results into:

2l^2-l^2+14l-18l-81+49=0

l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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