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Nostrana [21]
3 years ago
7

What are the vertices of the following graph?

Mathematics
2 answers:
tatuchka [14]3 years ago
8 0

The graph represent a horizontal ellipse with center ,(h,k)=(-1,3)

Length of major axis, 2a =8-(-10) = 18

Therefore, a = 9

And length of minor axis, 2b =5-1 =4

Therefore b=2

The formula that we have to use to find the vertices

(h+-a,k)

(-1+-9,3) = (-1-9,3),(-1+9,3) = (-10,3),(8,3)

masha68 [24]3 years ago
6 0

we need to find the vertices of given diagram using graph

we know that diagram looks in the from of ellipse

we know that ellipse is horizontal major axis ellipse which means major axis lies in x axis . we know that ellipse will have two vertices

we know that length of major axis =20 units from graph as we stretch from left to right corner .we need to divide to get semi major length so semi major length is 10 and -10

so one vertices (0,10) and other one is (0,-10) .

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$1,050

Step-by-step explanation:

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3 years ago
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Answer:

The cost increase for each square of carpet by 12.

Step-by-step explanation:

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3 years ago
Use the order of operations to find the value of the expression: 20 - 12 + 8 x 5
Nezavi [6.7K]
Here’s what I got


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3 years ago
The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
Daniel [21]

Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

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2n     +2 =180

Subtract 2 on both sides:

2n          =178

Divide both sides by 2:

 n           =178/2

Simplify right hand side:

 n           =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers?  Yep.  

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0
3 years ago
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A frightened child is restrained by her mother as the child slides down a frictionless playground slide. If the force on the chi
MissTica

Answer:

Step-by-step explanation:

Given

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