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
A telephone pole broke 4 feet from the bottom. If the top of the pole landed 3 feet from the base of the tree, how tall was the
SIZIF [17.4K]
The answer is the squared root of 7
3 0
3 years ago
Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent readin
valkas [14]

Answer:

B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are fas
irinina [24]

Answer:

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝)  = 0.05

<u><em>Step(ii):-</em></u>

Null hypothesis : H₀ : μ = 18.4

Alternative  hypothesis H₁ :  μ ≠ 18.4

Test statistic

              Z  = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

             Z  = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }

            Z = 1.183

<u><em>Conclusion:</em></u>-

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

8 0
3 years ago
Given that f(x) = 13x2 + 156, find x. A) x = ±2i 3 B) x = ±2i 6 C) x = ±3i 5 D) x = ±3i 6
mamaluj [8]

Answer:

  A)  x = ±2i√3

Step-by-step explanation:

We presume you want to find x such that f(x) = 0.

Divide by 13:

  x² + 12 = 0

Subtract 12:

  x² = -12

Take the square root:

  x = ±i√12 = ±2i√3

3 0
3 years ago
49 POINTS! PLEASE HELP ME!<br><br> Explain your answer, thank you so much!
stealth61 [152]

The slope = 4

y-intercept = -3

The equation of a line in slope intercept form is written as y=mx+b

where m is the slope and b is the y-intercept.

replace m and b with the given information:

The equation is: y = 4x-3


6 0
3 years ago
Read 2 more answers
Other questions:
  • Jeri finds a pile of money with at least $\$200$. If she puts $\$50$ of the pile in her left pocket, gives away $\frac23$ of the
    12·1 answer
  • How many 4 minutes and 30 seconds in 2 hours
    7·2 answers
  • Determine the slope of the line that passes through the points (-5, -4) and (0, 10).
    5·2 answers
  • If x5 = y3, then x = ?
    14·1 answer
  • Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9?
    6·1 answer
  • What are the solutions to the quadratic equation x^2 + 8x - 8 = 0?
    7·1 answer
  • I don’t get it this ain’t make no sense
    13·2 answers
  • The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are sell
    12·1 answer
  • Change the following decimal to a fraction. Express your answer like the following example (ex: 9.5 = 9 1/2) 4.125 = ?
    10·2 answers
  • Angle MNP ~ Angle HJK. Both triangles are isosceles. If m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!