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Naya [18.7K]
2 years ago
12

Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't rem

ember which coordinate pair is which. What could be an equation of the circle? Explain your answer.
Mathematics
1 answer:
abruzzese [7]2 years ago
7 0

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

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3m-2-5n+p terms and coefficients
Firlakuza [10]

Answer: Answers are in the steps.

Step-by-step explanation:

The coefficients are 3, -5, and 1  

The terms are, 3m, -2,-5n and p

4 0
2 years ago
A parabola has a vertex at (4, 0) and passes through the point (6, 1). Which of the following is the equation of this parabola i
Doss [256]
Easy

y=a(x-h)^2+k
vertex is (h,k)
we know that vertex is (4,0)
input that point for (h,k)
y=a(x-4)^2+0
y=a(x-4)^2
passes thorugh the point (6,1)
input that point to find a
1=a(6-4)^2
1=a(2)^2
1=a(4)
divide both sides by 4
1/4=a

thefor the equation is
y=(1/4)(x-4)^2
or
y=(1/4)x^2-2x+4
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3 years ago
Can someone be my friend
marta [7]

Answer: yes

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Work backward to find the value of the variable in the equation below d-4=23
AnnyKZ [126]

Answer:

27

Step-by-step explanation:

The equation is a onestep equation, so in order to find the variable, follow these steps:

d - 4 = 23

In order to isolate the variable or get the variable by itself, you need to get rid of the constants around it or the numbers without a variable. In order to do that for this equation, you'll need to do the inverse of subtracting 4, which would be adding four to both sides.

Adding 4 to positive 23 will give you the answer of 27;

d = 27

Therefore, the variable d equals 27

Hope this helps!

8 0
3 years ago
What are the solutions to the system of equations graphed
sweet-ann [11.9K]

Answer:

The point of intersection between the 2 graphs.

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