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ivanzaharov [21]
2 years ago
12

Please help me figure this out!!!!

Mathematics
1 answer:
Ganezh [65]2 years ago
6 0
Angie P is 131 degrees

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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0
2 years ago
For which mapped relation is the domain {1,2,3}?
pav-90 [236]
D

The domain is the x values, so the right side of the circle are the x’s.
7 0
3 years ago
What is 12x-32 answer needed
Rudik [331]

Answer:

plz Mark me brainliest

7 0
3 years ago
You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you s
Xelga [282]

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

3 0
3 years ago
HELP ME PLEASEEEEE i need this now
OleMash [197]

Answer:

195 yd^2

Step-by-step explanation:

Formula: A = \frac{pq}{2}

p = 7.5 + 7.5 = 15

q = 13 + 13 = 26

A = \frac{26*15}{2}

A = 195

5 0
3 years ago
Read 2 more answers
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