Factor this expression completely 9x^2- y^2

Mathematics

2 answers:

Nina [5.8K]3 years ago

7 0

Answer:

(3x - y)(3x + y)

Step-by-step explanation:

Both 9x^2 and y^2 are perfects squares.

The rule for factoring perfect squares is a^2 - b^2 = (a - b)(a + b).

Here, factoring (3x)^2 - y^2 results in (3x - y)(3x + y).

Neporo4naja [7]3 years ago

6 0

(3x-y)(3x+y) is the answer to the question

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Total area of two room <br> Help due soon (no link)

AlladinOne [14]

The answer is B, 2136

Explanation:
48-28 = 20. Now 20 times 20 equals 400, now remember that number.
Now 28 times 62 equals 1,736.
Now back to 400.
400+1736 equals 2,136.

Hope I helped you, please tell me if I am correct or not.

Enjoy your day!
:)

4 0

2 years ago

If a triangle is 12 inches high and has a 20 inch long hypotenuse then how wide is it?

Ber [7]

Answer:

The triangle should be 16 inches wide.

Step-by-step explanation:

$\text {Use the Pythagorean Theorem to solve for the leg.}\\a^2 + b^2 =c^2$

What we know:

One of the legs measures 12 inches.

The hypotenuse is 20 inches.

We need to solve for b. Solving for a while b is 12 would also be acceptable.

$12^2 + b^2 = 20^2 \text { OR } a^2 +12^2=20^2$

We will use the first equation.

$12^2 + b^2 = 20^2\\12 * 12 = 144\\20 * 20 = 400\\\\\boxed {144 + b^2 = 400}$

$\text {Subtraction property of equality: }\\144-144+ b^2 = 400-144\\\boxed {b^2 = 256}\\\\\text {Take the square root of 256: }\\\sqrt{256}=\sqrt{b^2} \boxed {16 = b}$