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
solniwko [45]
3 years ago
11

the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0
The equation of a circle in standard form is

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

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
You might be interested in
How much will it cost to borrow $2,500 for a year at a simple interest rate at 14% please explain
Mariana [72]
Principle (P) = $ 2,500

Rate (R) = 14%

Time (T) = 1 year

Simple Interest (SI) = \frac{PRT}{100}

SI = \frac{2500 * 14 * 1}{100} =  \frac{25 *14}{1} = 350

Hence, the answer is $350.
3 0
3 years ago
Combine like terms 9-5=9x-6x
4vir4ik [10]

Answer:

4 = 3x

Step-by-step explanation:

9-5=9x-6x

Combine like terms

4 = 3x

We can solve for x

Divide by 3

4/3 = 3x/3

4/3 =x

7 0
3 years ago
Need help ASAP no Rocky
Ahat [919]

Answer:

The length of mid-segment XY=4 units

Step-by-step explanation:

Given:

Length of QR=8 units

XY is the mid-segment which means the line joining the midpoints of two sides of triangle.

By mid-segment theorem the mid-segment of a triangle is parallel to the third side and half of the length of third side.

So, we can write:

XY=\frac{1}{2}QR  

XY=\frac{1}{2}(8)

∴ XY=4 units

∴The length of mid-segment XY=4 units

5 0
3 years ago
What is the volume of the sphere shown below with a radius of 3?
kaheart [24]

Answer:

volume of the sphere

=4/3π × r³

=4/3π × 3 × 3 × 3

=4/3π × 27

=36π ( <em>c</em><em> </em><em>)</em>

5 0
3 years ago
The table shows a simulation to predict how many cars will arrive at a car wash. Each event represents how many cars arrive duri
Svetradugi [14.3K]

Answer:

The number of cars passing or the people arriving during lunch hour will be around 220

Step-by-step explanation:

First we find the for ten minutes period from given data:

Average Cars in 10 minutes = (18+38+87+16+56+5)/6

Average Cars minutes = 36.67

Now, for average cars in 1 hr, we must multiply this value by 6. As, 10 minutes multiplied by 6 equals 1 hr.

Average cars in an hour = 36.67*6

<u>Average Cars in an hour = 220</u>

Hence, the number of cars or people arriving during lunch hour will also be equal to average number of cars arriving during an hour.

4 0
3 years ago
Other questions:
  • Can someone help me?
    12·1 answer
  • Consider the right triangle ABC given below:
    8·2 answers
  • 18/40 =<br>simplify to the lowest term<br>​
    7·2 answers
  • Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th
    10·1 answer
  • 72times45 Help Please
    8·2 answers
  • Make the number 18 using six "1"s.
    6·1 answer
  • You buy a car that is worth $15000. However, every year the car loses its value by 22 percent. Determine how
    10·1 answer
  • What is the equation of the line in slope-intercept form?
    6·1 answer
  • How do you find the value of x
    12·2 answers
  • HELP PLEASE!!!!<br> THERE R 3 QUESTIONS. MAKE SURE TO ANSWER ALL 3!!!<br> TYSM
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!