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
Jet001 [13]
3 years ago
11

If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here, x_1=-8, y_1=-6, x_2=-4, y_2=-14

$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)

$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)

$P(x, y) =(-6, -10)

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Here, x_1=-6, y_1=-10, x_2=-8, y_2=-6

r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}

r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}

r=\sqrt{(-2)^{2}+(4)^{2}}

r=\sqrt{20} units

The standard form of the equation of a circle is

(x-a)^{2}+(y-b)^{2}=r^{2}, where (a, b) are center and r is the radius.

Here, center = (–6, –10) and r=\sqrt{20}

(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}

(x+6)^{2}+(y+10)^{2}=20

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

You might be interested in
How to change base of logarithms: Best answer gets 27 points and brainliest answer
AlekseyPX

Answer:

1/3

Step-by-step explanation:

 To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9  (3^(1/3) /3)


log3 ((3^(1/3) /3))

-------------------------

log3 (1/9)


Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

-------------------------

log3 (3^-2)


log a^b  = blog a


1/3 log3 (3 ) - log3 (3)

-------------------------

-2log3 (3)

We know log3 (3) =1


1/3 (1) - 1

-------------------------

-2 (1)


1/3  - 1

-------------------------

-2


-2/3

------

-2

Copy dot flip

-2/3 * -1/2


1/3

6 0
3 years ago
Help me please.
mart [117]

Answer:

∧ABC ≈ ∧PQR  Angle-Angle Similarity Postulate

∧  ABC ≈ ∧  DEF   Side-Side-Side Similarity Postulate

Step-by-step explanation:

5 0
2 years ago
What is 150% of 5000? Round to the nearest hundredth (if necessary).
sveticcg [70]
The answer is 7,500 because 150% is the same as 1.5 x 5000.
5 0
3 years ago
Each part needs fourteen small holes drilled in its outer surface and four larger holes drilled in its inner surface. Write an e
svetlana [45]

Answer:

Bru where the options or......... like bru where is it

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve x^2 - 4 = 77.
Gennadij [26K]

Answer:

X = 9 or x = -9

Step-by-step explanation:

We want to solve the quadratic equation

{x}^{2}  - 4 = 77

We shall use the square root method

Let us add 4 to both sides to get:

{x}^{2}  - 4 + 4 = 77 + 4

{x}^{2}  = 81

We take square to get:

x =  \pm \sqrt{81}

x =  \pm9

The solution is x=9 or -9

5 0
3 years ago
Other questions:
  • Tiana's Cafe offers two kinds of espresso: single-shot and double-shot.
    6·2 answers
  • 1/4 of 24 on tape diagram
    12·1 answer
  • Scoateti factori de sub radical, apoi calculati:<br><br> v3 + 2v27 - v75
    10·1 answer
  • 0.00432 km = _____ mm
    10·1 answer
  • yolanda makes 3 sweaters a day. she sews 6 buttons onto each sweaters she makes. how many buttons will she sew in 3 day​
    7·1 answer
  • What is the radius of a circle with a circumference of 308 inches? Use pi= 22/7
    12·1 answer
  • If the measure of angle 5 is 98 degrees, what is the measure of angle 8 of angle 7 of angle of angle 6​
    7·1 answer
  • Sup help me plz owo owo
    6·2 answers
  • Graph the lines in standard form 2x+y=9
    8·2 answers
  • Using the figure at the left, complete the extended similarity statement:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!