1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murrr4er [49]
2 years ago
8

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

Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0

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

You might be interested in
How do you solve -6x+5t=-30
Sever21 [200]

Answer:

Sonic has the answer

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

t

=

−

1

6 0
2 years ago
You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of
Nikolay [14]

Answer:

13

Step-by-step explanation:

20÷1.5 since there is not X

5 0
3 years ago
Problem Number 6 Someone Help Me ??
seraphim [82]
It's a, because an exponent means it's multiplied by itself that many times. so 3 times 3 is 9 then times 3 again is 27. but negative exponents are always fractions and since the normal number is positive it's D (sorry at first I didn't see d and c)
6 0
3 years ago
Read 2 more answers
Three irrational numbers are given below. Select the option that correctly plots the approximate value of each me on live where
Murljashka [212]
The answer is that you are look for is 2
4 0
3 years ago
ASAP HELP
Romashka [77]

Answer:

B) 14/15

this is the best answer

5 0
3 years ago
Other questions:
  • The sides of a triangle are in the ratio 2:3:5. The perimeter of the triangle is 55
    11·1 answer
  • Is the answer 35 a5 b5 c5
    5·1 answer
  • Evaluate 6t - 20 - 32u when t = 1/4
    15·1 answer
  • I will give you 10B points plus mark someone again for the Brainliest if you get this right. a:15 b:7 c:4
    12·1 answer
  • The difference of 2 numbers is 2 and their product is 80<br>Please respond quick
    15·2 answers
  • I need to solve for x this is really easy I just don't have the time to do it please help.​
    15·2 answers
  • Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how f
    15·1 answer
  • Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace sai
    13·1 answer
  • HELP!! <br><br> Which is the correct label of the Parallel lines?
    10·2 answers
  • Cindy works at Jurassic Park and has been tasked to design a container in the shape of a rectangular prism for the incoming baby
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!