All categories

3 years ago

What is the equation of a circle with a center (-9,2) and radius 5?

Mathematics

1 answer:

notsponge [240]3 years ago

4 0

Answer:

(x+9)^2 + ( y-2) ^2 = 25

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x--9)^2 + ( y-2) ^2 = 5^2

(x+9)^2 + ( y-2) ^2 = 25

You might be interested in

Which ordered pair is NOT included in a graph of y=x+5?

belka [17]

I need the picture to answer it

7 0

2 years ago

Which equation represents the line with a slope of 5/6 that passes through the point (-2, 1)?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

Slope m = 5/6

The points (-2,1)

So; y1 = 1 and x1 = -2

The equation is y - y1 = m(x - x1)

y - 1 = 5/6(x + 2)

Multiply each term by 6

6y - 6 = 5(x + 2)

6y - 6 = 5x + 10

6y = 5x + 10 + 6

6y = 5x + 16

- 5x + 6y = 16

Multiplying by minus

5x - 6y = -16

5 0

3 years ago

Read 2 more answers

Are natural numbers whole numbers.

DochEvi [55]

Answer:

yes

Step-by-step explanation:

yes they are :)))))

7 0

3 years ago

Math Story problem. I need help

Olin [163]

Answer:

i believe it would be 12

hope this helps !!

Step-by-step explanation:

96 divided by 8 would equal 12 so therefore the answer is 12

6 0

3 years ago

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Bond [772]

Given the system of equations:

$\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}$

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

$\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}$

Step 2: Substitute the expression found for x in the first equation.

$\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}$

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

$\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}$

Then, divide both sides by 15.

$\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}$

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

$\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}$

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0

1 year ago