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
Kryger [21]
3 years ago
9

The endpoints of a diameter of a circle are located at (5,9) and (11,17) which is an equation of the circle?

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

(x - 8)² + (y - 13)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The centre is located at the midpoint of the endpoints of the diameter.

Use the midpoint formula to find the centre

[\frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} ]

with (x₁, y₁ ) = (5, 9) and (x₂, y₂ ) = (11,17)

centre = ( \frac{5+11}{2}, \frac{9+17}{2} ) = (8, 13)

The radius is the distance from the centre to either end of the diameter

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (8, 13) and (x₂, y₂ ) = (5, 9)

r = \sqrt{(5-8)^2+(9-13)^2}

  = \sqrt{(-3)^2+(-4)^2}

  = \sqrt{9+16} = \sqrt{25} = 5 ⇒ r² = 25

Hence

(x - 8)² + (y - 13)² = 25

You might be interested in
Name the postulate, Definition or Property below
klasskru [66]
Ans_ It is Sandwich Theorem..
3 0
3 years ago
Expand and simplify (x+1)(x+6)
lorasvet [3.4K]

Answer:

x^{2}+7x+6

Good luck!

3 0
2 years ago
Read 2 more answers
!!!!!!!!I REALLY NEED HELP I WILL GIVE BRAINLIEST THANKS AND F R I E N D YOU!!!!!!!!!!!!!!!!!!!
vodomira [7]
22,500-71%= the answer would be 15,975
3 0
2 years ago
Read 2 more answers
Prove that the inequality<br> x(x+ 1)(x+ 2)(x+ 3) ≥ −1<br> holds for all real numbers x.
vredina [299]
(x²+x)(x²+5x+6) = x^4 + 6x³ + 11x² + 6x  + 1 ≥0
f(x) = x^4 + 6x³ + 11x² + 6x  + 1
f'(x) = 4x³ + 18x² +22x +6 
racines x1 = -0,301 x2 = -1,5 x3 = -2,618
variations 

x                                  -2,62                    -1,5                   -0,3
f'(x)                      -          0             +          0           -            0          +
f(x)    -inf            \            0             /                        \             0           /

on voit que cette fonction st toujours positive
6 0
3 years ago
Helpppppppppppppppppppp
a_sh-v [17]
In order going down:
5 3/5
6 5/6
4 2/3
10 1/3
11 2/3
3 0
3 years ago
Other questions:
  • Tammy did a survey to answer the following question: what is the average reading score of grade 6 students?
    7·2 answers
  • Prove the divisbility of the following numbers.
    7·1 answer
  • Perimeter of a regular pentagon is 5 times the length of its side
    5·1 answer
  • Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
    15·1 answer
  • The graph shows the temperature y in a freezer x minutes after it was turned on. Five minutes after
    14·1 answer
  • (−65) ÷ (−15)<br><br> please do the whole math
    14·2 answers
  • Please help! Shouldn’t take long hopefully
    6·1 answer
  • &lt;) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.
    14·1 answer
  • Trains Two trains, Train A and Train B, weigh a total of 515 tons Train Ais heavier than Train
    14·1 answer
  • Integral of<br> 11-3x/<br> x²+2x-3<br> dx
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!