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3 years ago

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.

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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