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Alexus [3.1K]
3 years ago
14

Really need help with this problem

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

The equation of a circle is the equation that represents the circle on the coordinate plane

The equation of the circle is (x +3)^2 + (y -6)^2  = 13'

From the attached figure, we have the following parameters:

  • Center: (a,b) = (-3, 6)
  • Point on the circumference: (x,y) = (0,8)

Start by calculating the radius r using the following distance formula

d = \sqrt{(x -a)^2 +(y - b)^2}

So, we have:

r = \sqrt{(0 --3)^2 +(8 - 6)^2}

r = \sqrt{9 +4}

r = \sqrt{13}

Square both sides

r^2 = 13

The equation of the circle is then calculated as:

(x - a)^2 + (y -b)^2  = r^2

Substitute values for a and b

(x - -3)^2 + (y -6)^2  = r^2

This gives

(x +3)^2 + (y -6)^2  = r^2

Substitute r^2 = 13

(x +3)^2 + (y -6)^2  = 13

Hence, the equation of the circle is (x +3)^2 + (y -6)^2  = 13'

Read more about circle equations at:

brainly.com/question/1559324

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3 years ago
Mr. Rivera can grade 18 math teat in 15minutes. What is the teachers unit rate?
Andru [333]

In this question, you're trying to find the unit rate in which the teacher can grade tests.

A unit rate is another word for "rate of change".

This means that we have to find how many tests the teacher could grade in 1 minute.

To find the unit rate, divide 18 by 15

18 ÷ 15 = 1.2

This means that Mr. Rivera can grade 1.2 tests in 1 minute.

Answer:

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6 0
3 years ago
nine more than twice a number is less than negative fifteen. solve the inequality for the unknown number.
pentagon [3]

Answer: x<-12

Step-by-step explanation:

let x= the number

2x+9<-15

    2x<-24

      x<-12

Hope this helps!! :)

You may ask any further questions

6 0
3 years ago
A dog walking along some train tracks meets a train every 4 minutes and the train catches up the dog every 12 minutes. Find the
TiliK225 [7]

Answer and Step-by-step explanation:

Dog meets the train in = 4 minutes

Train catches up the dog in = 12 minutes

Let x be the time when train leave the route,

Train catch up the dog in 12 minutes, the endpoint of route is x and the dog meet up the train in 4min, so the equation becomes:

                       12 - x = 4

               To find out the value of x, subtract 12 from both sides, we get

                        x = 4 – 12

                         -x = -8

Which gives x = 8, when train leaves the endpoint of route.

5 0
4 years ago
You take a 10 question multiple choice test. Each question has 4 choices and you guess on all of them. What is the probability y
Anna35 [415]

Answer:

Probability of getting 7 correctly = 0.0030899

Probability of getting 8 correctly = 0.00038624

Probability of getting 9 correctly = 0.00002861

Probability of getting 10 correctly = 0.00000095367

Probability of Getty at least 7 questions correctly = 0.0035057

Step-by-step explanation:

Please kindly check the attached files for more explanation.

6 0
3 years ago
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