All categories

3 years ago

Factor the polynomial below 20x^2-45

Mathematics

2 answers:

stiks02 [169]3 years ago

8 0

$20x^2-45=5(4x^2-9)=5[(2x)^2-3^2]=5(2x-3)(2x+3)\\\\--------------------------\\\\use:a^2-b^2=(a-b)(a+b)$

rodikova [14]3 years ago

3 0

$(a+b)(a-b)=a^2-b^2\\---------------------\\\\20x^2-45=5\cdot4x^2-5\cdot9=5\cdot(4x^2-9)=\\\\.\ \ \ \ \ \ \ \ \ \ \ \ =5\cdot[(2x)^2-3^2]=5\cdot(2x+3)(2x-3)$

You might be interested in

Why there is 60 minutes in a hour ?

VARVARA [1.3K]

Step-by-step explanation:

THE DIVISION of the hour into 60 minutes and of the minute into 60 seconds comes from the Babylonians who used a sexagesimal (counting in 60s) system for mathematics and astronomy. They derived their number system from the Sumerians who were using it as early as 3500 BC.

3 0

3 years ago

Read 2 more answers

What is tan(x)-5=0<br> (With steps)

gizmo_the_mogwai [7]

$\tan x-5=0$
$\tan x=5$

Now before taking the inverse tangent of both sides, recall that

$\tan x=\tan(x\pm\pi)=\tan(x\pm2\pi)=\cdots=\tan(x\pm n\pi)$

where $n$ is any integer. This means that when taking the inverse tangent of $\tan x$ , instead of just $x$ , we would end up with

$\arctan(\tan x)=\arctan(\tan(x+n\pi))=x\pm n\pi$

So after doing so in the equation above, we're left with

$x\pm n\pi=\arctan5\implies x=\arctan5\pm n\pi$

As $n$ can be any integer, including negative integers, we can simply write

$x=\arctan5+n\pi,\,n\in\mathbb Z$

8 0

4 years ago

A blender runs at 120 volts at 4.16 amps. Calculate power

andrey2020 [161]

Answer:

P = 499.2 Watt

Step-by-step explanation:

$p = iv \\ p = 4.16 \times 120 \\ p = 499.2 \: watt$

6 0

3 years ago

A bag contains 9 black marbles and 1 white marble. What is the probability of the event that is complementary to the event of dr

Nadya [2.5K]

The complement of drawing a black would be drawing a white.
P(9) = 9/10
P(not 9) = 1/10

4 0

3 years ago

If ∠n and ∠p are supplementary angles, m∠N=(x+3)° and m∠P=(7x-15)° ,find m∠P.

love history [14]

Answer:

132 degrees

Step-by-step explanation:

x+ 3+7x-15=180

8x -12 =180

8x = 168

x=21

7(21) -15

147-15

132

6 0

3 years ago