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Brrunno [24]
3 years ago
5

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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2 years ago
×-2+2×+4+2×-2=180 what does x equal in this equation.
daser333 [38]

Answer:

<u>x = 36</u>

Here's how I got that:

<em>    - Group like terms -</em>

x - 2 + 2x + 4 + 2x - 2 = 180

                    ↓

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                    ↓

              5x = 180

<em>  - Divide both sides by 5 - </em>

<em>         </em>  5x/5 = 180/5

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6 0
2 years ago
Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top of the pole as 35º. Vera is
ivanzaharov [21]

Answer:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Tan \theta=\frac{|XY|}{|VY|} \\Tan \theta=\frac{42.01}{36}\\ \theta=arctan(\frac{42.01}{36})\\ \theta=49.4^0

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

4 0
3 years ago
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