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3 years ago

What is the factorization of the expression below?

Mathematics

1 answer:

mestny [16]3 years ago

6 0

Answer:

Answer B is correct

$(6x + 5)(6x - 5)$

Step-by-step explanation:

$36 {x}^{2} - 25 \\ {6}^{2} {x}^{2} - {5}^{2} \\ = (6x - 5)(6x + 5)$

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If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{

Elis [28]

Answer:

x = 36

Step-by-step explanation:

$x - 12\sqrt{x} + 36 = 0$

Subtract x and 36 from both sides.

$-12\sqrt{x} = -x - 36$

Divide both sides by -1.

$12\sqrt{x} = x + 36$

Square both sides.

$144x = x^2 + 72x + 1296$

Subtract 144x from both sides.

$0 = x^2 - 72x + 1296$

Factor the right side.

$0 = (x - 36)^2$

$x - 36 = 0$

$x = 36$

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

$x - 12\sqrt{x} + 36 = 0$

$36 - 12\sqrt{36} + 36 = 0$

$36 - 12\times 6 + 36 = 0$

$36 - 72 + 36 = 0$

$0 = 0$

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

6 0

3 years ago

What is 5(2x - 2y) - (4x + 3y)

EastWind [94]

Answer:

6x - 13y

Step-by-step explanation:

5(2x - 2y) - (4x + 3y)

10x - 10y - 4x - 3y

10x - 4x - 10y - 3y

6x - 13y

7 0

2 years ago

Round to the nearest hundredth? A 4 ? 35° с B

DaniilM [7]

The length of the unknown side length, |AB|, is 6.97

<h3>Trigonometry</h3>

From the question, we are to determine the value of the unknown side length

The unknown side length is the hypotenuse

Using SOH CAH TOA

We can write that

sin 35° = 4/|AB|

∴ |AB| = 4 /sin35°

|AB| = 4 /sin35°

|AB| = 6.97

Hence, the length of the unknown side length, |AB|, is 6.97

Learn more on Trigonometry here: brainly.com/question/22099203

#SPJ1

3 0

1 year ago

CAN SOMEONE PLEASE ADD ALL OF THIS FOR ME.?

9966 [12]

The answer is 539.01 :)

8 0

2 years ago

Use a calculator to evaluate sec 85 degrees

faltersainse [42]

OK. I used my calculator to evaluate sec(85 degrees).

My calculator doesn't have a "sec" button on it.
But I remembered that

sec of an angle = 1 / (cosine of the same angle) .

So I used my calculator to find cos(85), and then I hit the
" 1/x " key, and got 11.474, which I knew to be sec(85).

3 0

3 years ago