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Vera_Pavlovna [14]
3 years ago
10

What is the completely factored form of 25x4 – 16y2?

Mathematics
2 answers:
erastovalidia [21]3 years ago
3 0

Answer:

(5x^2+4y)(5x^2-4y)

Step-by-step explanation:

25x^4-16y^2 has the form a^2-b^2 known as a difference of squares. It factors into (a+b)(a-b). To find a and b you take the square root.

\sqrt{25x^4} =5x^2

\sqrt{16y^2} =4y

The factored for is (a+b)(a-b).

In this case, it is (5x^2+4y)(5x^2-4y)


matrenka [14]3 years ago
3 0

Answer:

c. (5x2 4y)(5x2-4y)

Step-by-step explanation:

Just did the assignment

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504

Step-by-step explanation:

So, lets calculator this.

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So there are 504 inches of wire in 14 yards.

Answer:

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Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


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What is 1 plus 2/3 over 1 minus 1/6
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I tried to understand what you wrote
1+2/3 -1 1/6 I got 1/2

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