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3 years ago

Factor the polynomial, if possible. If the polynomial cannot be factored, write prime. 100v2 – 324

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer:

The factored form is:

$4(5v + 9)(5v - 9)$

Step-by-step explanation:

The given expression is:

$100 {v}^{2} - 324$

The Greatest Common Factor is 4:

We factor the GCF to get

$4(25 {v}^{2} - 81)$

We rewrite the expression within the parenthesis as difference of two squares.

$4(( {5v})^{2} - {9}^{2} )$

Recall that: a²-b²=(a-b)(a+b)

This implies that

$4(5v + 9)(5v - 9)$

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Solve the following inequality. 3x - 4 > 11

vampirchik [111]

3x - 4 > 11

15 it’s not that hard

3 0

1 year ago

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-72 by 8 A) -9 B) -8 C) 7 D) 8

monitta

Hi there! :) :D

Answer:

A. -9

*The answer must have a negative sign.*

Step-by-step explanation:

Lesson: Dividing integers

First, you divide by the numbers from left to right.

$72/8=9$

It change positive to negative sign.

$72/9=8$

Then, you can also multiply by the numbers from left to right.

$9*8=72$

$8*9=72$

Final answer is -9

Hope this helps!

Have a nice day! :)

-Charlie

Thank you so much! :)

8 0

3 years ago

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Evaluate the expression described below if the number is 4. The difference between a number squared and the number.

Margarita [4]

Hello,

$x^2-x=4\\
x^2-x-4=0\\
\Delta=1^2-4*(-4)=17\\
x= \dfrac{1+ \sqrt{17} }{2} \\
or\\
x= \dfrac{1- \sqrt{17} }{2} \\
$

3 0

4 years ago

So, the sides you are going to be multiplying are opposite and adjacent. The trigonometric function is tangent. So it'll be Tan0

nadya68 [22]

Answer:

54°

Step-by-step explanation:

Multiplication is not involved.

The trig relation that is concerned with the opposite and adjacent sides of an angle in a right triangle is the tangent relation:

Tan = Opposite/Adjacent

tan(θ) = 41/30

The value of the angle is found using the inverse tangent function:

θ = arctan(41/30) ≈ 53.807°

The angle of elevation is about 54°.

_____

Additional comment

The mnemonic SOH CAH TOA is often used as a reminder of the relationship between right triangle sides and trig functions. The other two relations are ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

For finding angles, the inverse trig relations are used. These can be called "arcsine," "arccosine," and "arctangent." They are often shown in functional form as (respectively) sin⁻¹, cos⁻¹, and tan⁻¹. On a calculator, they are often "2nd" or "Shift" or "Alt" functions of the sin, cos, and tan keys.

8 0

2 years ago

HELPPPPP!!!! ASAPPPPP!!!!

kirill [66]

Answer:

the second one

Step-by-step explanation:

5 0

3 years ago

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