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2 years ago

Muiltiply 8x^2(x^2+2xy-6y^2) simplify your answer

Mathematics

1 answer:

stepladder [879]2 years ago

3 0

The answer would be 8x^4 + 16x^3y - 48x^2y^2

In order to find this, multiply 8x^2 by each term individually.

8x^2 * x^2 = 8x^4

8x^2 * 2xy = 16 x^3y

8x^2 * -6y^2 = -48x^2y^2

Now you can put them all in a row.

8x^4 + 16x^3y - 48x^2y^2

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To find the perimeter of a rectangle, and the length (l) and width (w) and double the sum

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2 years ago

when a relation is drawn on an xy-plane what is another name for the set of all x values from its graph?

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<h3>What is the Domain of a Relation?</h3>

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1 year ago

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

2 years ago

Read 2 more answers