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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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2 years ago

×-2+2×+4+2×-2=180 what does x equal in this equation.

daser333 [38]

Answer:

x = 36

Here's how I got that:

- Group like terms -

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~ That's all folks ~

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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.

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3 years ago