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FinnZ [79.3K]
2 years ago
8

Simplify and find the value of the expression if x=2 and y = 13xy (4x- 5y) +3xsquare y

Mathematics
1 answer:
maria [59]2 years ago
3 0

Answer:

13 + 4(2) - 5(13) + 3

<em>multiply the numbers</em>

13 + 8 - 65 + 3

<em>calculate the sum or difference </em>

= -41

Step-by-step explanation:

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Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do
grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}

Since triangle WXY is Isosceles, \angle XYW=45^\circ

\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7

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3 years ago
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How do you do this? I need help ASAP!
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3 years ago
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