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Ratling [72]
3 years ago
12

Write the equation of the circle graphed below

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

You might be interested in
In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha
VLD [36.1K]

Answer:  a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors  = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

6!=720

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

^nC_r=\dfrac{n!}{(n-r)!r!}

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

^8P_3\\\\=336

d) Number of 5-digit zip codes are possible is given by

^{10}P_5=30240

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

^{10}C_3=120

Hence, a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

6 0
3 years ago
Is one over eight irrational or rational
lukranit [14]
The answer to this is irrational
4 0
3 years ago
Manny worked as a produce manager for
Monica [59]

Answer: 64%

Step-by-step explanation:

You would divide 50 by 32 (32/50), and get the decimal 0.64. Multiply 0.64 by 100 and you will get 64, your percent.

3 0
3 years ago
Find the measure of each exterior angle of a regular decagon?
Igoryamba
The measure of exterior all angles of a regular n-agon is 180
now for the decagon which has 10 angles is 180/10=18
5 0
3 years ago
A company produces candy bags that each hold about 528 cubic inches of candy. Each bag is filled with any mixture of lollipop ca
enyata [817]

361 lollipop candies or 697 gummy bear candies fills the bag of volume 528 in.³, which gives the following possible equation;

  • 1.46•l + 0.76•g = 528

<h3>How can the correct equation be found?</h3>

Volume of candy bag = 528 in.³

Number of lollipop candies the bag can hold = 361 candies

Number of gummy bear candies the bag can hold = 697 candies

Therefore;

1 \: lollipop =  \frac{528}{361}  =  1.46

1 \: gummy \: bear =  \frac{528}{697}  =  0.76

Which gives the following equation;

  • 1.46•l + 0.76•g = 528

Learn more about writing equations here:

brainly.com/question/18713037

#SPJ1

3 0
2 years ago
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