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sp2606 [1]
3 years ago
13

Write the standard equation of the circle in the graph. Picture included.

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

Option 1:

(x-3)^2+(y+2)^2=9

Step-by-step explanation:

We can observe the given graph to find the center and radius

By observing the graph we can conclude that the center of the circle is at

x = 3 and y = -2 which means the center is:

(h,k) = (3,-2)

Similarly the radius is 3 because the distance between the center and boundary of circle is 3 units.

So, r = 3

The standard form of equation of a circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values of h,k and r

(x-3)^2+(y-(-2))^2=(3)^2\\(x-3)^2+(y+2)^2=9

Hence, the correct answer is option 1 ..

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Answer:

x ≈ 21.7

I rounded to the nearest tenth because the values are given in tenths. The first few digits of x are below if you are rounding to something else, as the image is cut out.

Step-by-step explanation:

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Put the steps in correct order for the equation Solve 3(2x−7)+5=−19
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Answer:

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Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).
kumpel [21]
<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

(x-h)^2+(y-k)^2=r^2

  • (h,k) is the center
  • r is the radius

To determine the equation given the center and the radius:

  1. Plug both pieces of information into the general equation
  2. Simplify

<h2>Solving the Question</h2>

We're given:

  • Radius: 99
  • Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801

<h2>Answer</h2>

(x+1)^2+(y+8)^2=9801

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3 years ago
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