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
vlabodo [156]
3 years ago
15

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

x^{2} +y^{2}+4x-1=0

Step-by-step explanation:

<u>Explanation:</u>-

<u>Step 1:</u>-

The equation of the circle having center and radius is

(x-h)^2+(y-k)^2=r^2

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

      (\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2}  )

    (-2,0)

therefore center (h,k) = (-2,0)

<u>Step 2:-</u>

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}

r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}

r=\sqrt{5}

<u>Step 3</u>:-

center (h,k) = (-2,0) and

radius r=\sqrt{5}

The standard form of circle equation

(x-h)^2+(y-k)^2=r^2

(x-(-2))^2+(y-0)^2=\sqrt{5} ^2

on simplification is

x^{2} +y^{2}+4 x-1=0

You might be interested in
Please help me this question​
I am Lyosha [343]

Step-by-step explanation:

Please mark me as the brainliest answer

5 0
3 years ago
Read 2 more answers
If something starts out costing $500, and then is marked down by 25% on each of three separate occasions,what is the final price
astra-53 [7]
First markdown:  0.75($500) = $375
Second markdown:  0.75($375) = $281.25
Third markdown:     0.75($281.25) = $210.94
3 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
mart [117]

Answer:

y= -3x-6

Step-by-step explanation:

I believe this is correct

6 0
11 months ago
Please Help! The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0? (Picture of graph included)
qwelly [4]

Answer:

(7, 0), (-8, 0), (0, 0)

Step-by-step explanation:

y = f(x) = 0

the real solutions are the ones that cross the x-axis because when a point is on the x-axis, its y coordinate will be 0.

=> (7, 0), (-8, 0), (0, 0)

6 0
3 years ago
The outside world recoils in fear
Alexeev081 [22]

Answer:

liar! only 5 points! SU  LITERALLY IDC REMOVE UR ANSWER OR ELSE THUG

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Mr. Smith spent 6 hours hiking along a trail and back. He walked out at the rate of 4 miles per hour and walked back at the rate
    9·1 answer
  • 12 + 4 - 8 / 2 * 3 workings pls​
    7·1 answer
  • When would you use the Pythagorean theorem
    9·2 answers
  • Write a set of 3 numbers that have a gcf of 13
    8·1 answer
  • X3+3x2-2x+6=0<br><br> Solve for X
    15·1 answer
  • What’s the multiplier for $2 and 3%
    15·2 answers
  • The difference between an observational study and an experiment is that
    12·1 answer
  • The roof of a house is in the shape of a square pyramid and its net is shown below. The length of each side of the square is 30
    7·1 answer
  • the area of right triangle is 50 m square. if one of its legs is 20cm find the lenght of the other leg?​
    15·1 answer
  • Pi/6 is the reference angle for:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!