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3 years ago

20. Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

1 answer:

4 0

Pentagon has 5 angles. 360/5= 72 degrees
16-gon has 16 angles. 360/16= 22.5 degrees
dodecagon has 12 angles. 360/12= 30 degrees
The measure of the exterior angle of any regular polygon is 360 divides by the number of sides the polygon has.

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What is the additive inverse of 3? a. -3 b. a+(-a)=0 c. 0 d. -a

finlep [7]

Answer:

A. -3

Step-by-step explanation:

3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

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3 years ago

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Find the Domain and Range of the following: (6.-1) (-2.2) (18,-1) (-2,3) Domain: Range: Is this relation a function?

zheka24 [161]

Answer:

Domain: {-2,6,18}

Range: {-1,2,3}

This relation is not a function.

Step-by-step explanation:

The domain is all of the x values given listed in order from least to greatest and not repeating any numbers. The range is the same thing, but with the y values given. This is not a function because multiple ordered pairs have more than one output for the input. Let's take -2 in these ordered pairs. It has two different outputs, 3 and 2. Because of this, it is not a function.

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2 years ago

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3 years ago

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stiv31 [10]

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2 years ago

Given the graph, find an equation for the parabola.

Sauron [17]

Answer:

$\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

$y=a(x-h)^2+k$

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus is (3,2) so we can say.

$2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}$

So an equation for the parabola is.

$\large \boxed{\sf y=\dfrac{1}{16}(a-3)^2-2 }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago