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hoa [83]
3 years ago
12

For each of the following equations,give the centre and radius of the circle.

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

a) Center is (0,0) and radius r = 5

b) Center is (0,0) and radius r = 1

d) Center is (5,3) and radius r = 9

e Center is (-2,1) and radius r = 3

g) Center is (-1,-3) and radius r = 7

h) Center is (0,0) and radius r = 2.5

Step-by-step explanation:

<u><em>a)</em></u>

Given circle  x² + y² = 25

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

Center is (0,0) and radius r = 5

b)

Given circle  x² + y² = 1

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

Center is (0,0) and radius r = 1

d)

Given circle  (x-5)² + (y-3)² = 81

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

                   (x-5)² + (y-3)² = 9²

Center is (5,3) and radius r = 9

e)

Given circle  (x+2)² + (y+1)² = 9

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

                  (x+2)² + (y+1)² = 3²

Center is (-2,-1) and radius r = 3

g)

Given circle  (x+1)² + (y+3)² = 49

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

                  (x+1)² + (y+3)² = 7²

Center is (-1,-3) and radius r = 7

h)

Given circle  x² + y² = 6.25

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

   Given circle  x² + y² = (2.5)²

Center is (0,0) and radius r = 2.5

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Step-by-step explanation:

Slope intercept formula is y=mx+b

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8 0
2 years ago
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Answer:

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Step-by-step explanation:

<u>Solving</u>

Step 1: Subtract 3 from both sides.

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Step 2: Subtract 3 from both sides.

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Have a lovely rest of your day/night, and good luck with your assignments! ♡

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6 0
3 years ago
Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?
Zielflug [23.3K]

Answer:

B = 134^o

Step-by-step explanation:

n = 6 --- sides

A = 170^o

C = 107^o

D = 102^o

E = 117^o

F = 90^o

Required

The measure of B

The interior angles of a polygon is:

Angles = (n - 2) * 180

So, we have:

Angles = (6 - 2) * 180

Angles = 4 * 180

Angles = 720^o

The measure of B is calculated using:

A + B + C + D + E + F = 720

Substitute known values

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Collect like terms

B + 107 + 170 + 102 + 117 + 90 = 720

B + 586 = 720

Collect like terms

B = 720 - 586

B = 134^o

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