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2 years ago

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

Mathematics

1 answer:

quester [9]2 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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Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (1,-7) and has (2,- 4) as its vertex. What i

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2 years ago

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2 years ago

Read 2 more answers

Find the area of AAOB 9√3 un² 3√3 un² 4.5√3 un

olga2289 [7]

Answer:

Step-by-step explanation:

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1 year ago

Solve for x: 0⁰ < x< 360⁰ <img src="https://tex.z-dn.net/?f=1%20%2B%205%20%5Csin%28x%20-%2010%20%7B0%7D%5E%7B0%7D%20%29

Katena32 [7]

Answer:

x = 88.463°

Step-by-step explanation:

We are given a trigonometric equation and we need to find out the value of x. The angle x lies between 0° and 360° . That is ,

$\rm\implies\red{ 0^0 < x < 360^0 }$

Given trigonometric equation :-

$\rm\implies\red{ 1 + 5 sin (x-100^0)=0 }$

Subtracting 1 both sides , we have ,

$\rm\implies 5sin( x - 100^0)= -1$

Divide both sides by 5 ,

$\rm\implies sin( x - 100^0)= \dfrac{-1}{5}$

This equation can be written as ,

$\rm\implies x - 100^0 =sin^{-1}\bigg(\dfrac{ -1}{5}\bigg) \\\\\rm\implies x - 100^0 = -11.53^0 \\\\\rm\implies x = 100^0-11.53^0\\\\\rm\implies\boxed{\bf x = 88.463^0}$

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2 years ago