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bekas [8.4K]
2 years ago
5

How to factor this expression: x^2-9?

Mathematics
1 answer:
Lena [83]2 years ago
7 0

Answer:

(x+3)(x-3)

Step-by-step explanation:

rewrite "9" as 3^2

so it is x^2-3^2

You use the difference of squares: a^2-b^2=(a+b)(a-b)

apply it: (x+3)(x-3)

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If x=3 what is 3x+7x(8x 5)<br> ALSO does anyone wanna ch.at?
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Answer:  

56x6+3x

Step-by-step explanation:

3x+7x(8x5)

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A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha
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Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

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Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side  to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

x^2 +(x+7)^2=(x+9)^2\\\\

Expand the terms in brackets

x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81

collect like terms

x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0

solve for x in the quadratic equation by factorization

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Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

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3 years ago
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Answer:

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Step-by-step explanation:

Since there's 2 lines intercepting each other, the angle opposite of the other is the same.

3(20) + 50 = 110

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2 years ago
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Answer:

20 miles

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10miles × 2 = 20miles

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