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2 years ago

Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position

Mathematics

1 answer:

horrorfan [7]2 years ago

5 0

Answer:

39 degrees.

Step-by-step explanation:

We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.

so x = 399 - 360 = 39 degrees

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Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig

AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of $f(x) = | x + 1 | +2$ is $y = | x |$

The graph of $y = | x |$ is the union of two lines:

$y = x$ for $x\geq0$

$y = -x$ for $x$

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do $y = f(x + 1)$ to the parent function we get:

$y = | x + 1 |$

This transformation shifts the graph of $y = |x|$ 1 unit to the left

Then, if we make the transformation $y = f(x) + 2$ to the function $y = | x + 1 |$ we obtain:

$y = | x + 1 | +2$

This transformation displaces the graph of the function $y = | x + 1 |$ 2 units up on the y axis.

So, if the vertex of the main function $y = | x |$ was at point (0,0), the vertex of the function $f(x) = |x + 1| +2$ has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

5 0

3 years ago

Which choices are equivalent to the exponential expression below? Check all that apply . (4/5) ^ 3 B. 64/125 (4/5)(4/5) + (4/5)

Dmitrij [34]

Answer:

B) 64/125

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Factorise 3ab²+15a²b³+21a³b²

evablogger [386]

Given:

The expression is

$3ab^2+15a^2b^3+21a^3b^2$

To find:

The factor form of the given expression.

Solution:

We have,

$3ab^2+15a^2b^3+21a^3b^2$

Taking out the common factors, we get

$3ab^2(1+5ab+7a^2)$

It is clear that $(1+5ab+7a^2)$ cannot be factories further.

Therefore, the factorized form of the given expression is $3ab^2(1+5ab+7a^2)$ .

5 0

2 years ago

Alicia has 32 stickers. This is 4 times as many stickers as Benita has. How many stickers does Benita have?

strojnjashka [21]

Let's name the number of stickers Alicia has "a" and Benita as "b".

Then: a=32

a=4*b

We know this from the information above. Now we put it together:

32=4*b

we divide both sides by 4:

8=b

Benita has 8 stickers.

8 0

3 years ago

What number is 20% of 40? Numerical Answers Expected!

MrMuchimi

The answer would be 8

5 0

3 years ago