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finlep [7]
3 years ago
5

Reduce the following fraction: -36x4y4z5/-12x6y3z

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

The reduced expression is:  

\frac{3\,y\,z^4}{\,x^2}

Step-by-step explanation:

Start by cancelling out common factors in numerator and denominator (including the "-1" factor present in both):

\frac{-36\,x^4\,y^4\,z^5}{-12\,x^6\,y^3\,z} = \frac{3\,x^4\,y^4\,z^5}{\,x^6\,y^3\,z} =\frac{3\,y^4\,z^5}{\,x^2\,y^3\,z} =\frac{3\,y\,z^5}{\,x^2\,z} =\frac{3\,y\,z^4}{\,x^2}

where we did cancellations of first numerical factors, and then the variables addressing one at a time.

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Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o
kumpel [21]

Answer:

Three-fourths

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

tan(X)=\frac{YZ}{XZ} ---> opposite side angle X divided by adjacent side angle X

substitute the given values

tan(X)=\frac{9}{12}

Simplify

tan(X)=\frac{3}{4}

Remember that

∠Q≅∠X

so

tan(Q)=tan(X)

therefore

tan(Q)=\frac{3}{4} ---->Three-fourths

7 0
3 years ago
Read 2 more answers
If (3, y) lies on the graph of y = -(2^x) then y=<br> 1/8<br> -6<br> -8
vazorg [7]
<h3>Answer is   -8</h3>

Work Shown:

y = -(2^x)

y = -(2^3) ... replace x with 3

y = -(2*2*2) ... expand out 2 cubed

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8 0
3 years ago
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do you see it?
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3 years ago
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ivolga24 [154]

Answer:

x=3

Step-by-step explanation:

5x + 4 = 19

     -4     -4

     5x = 15

      /5    /5

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Answer:

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