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
What best describes the number 5 ?write prime or composite or both prime and composite
Salsk061 [2.6K]
It is prime because nothing equals it other than 5x1
8 0
3 years ago
What’s the equation for this table? Use y=mx+b. HELP
Verdich [7]

Answer:

y = 2x + 12

Step-by-step explanation:

You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.

y2-y1/x2-x1  

16-14/2-1 = 2/1 = 2. So our slope equals 2.

If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.

14-2 = 12. --> (0, 12) which is true because we know that the slope is 2.

3 0
3 years ago
A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work
Snezhnost [94]

Answer:

The result will be inaccurate.

Step-by-step explanation:

A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work in one week?”

He asks the owners of all 120 houses in a Raleigh neighborhood.

The results of such a survey can never be accurate.

Firstly, the sample is not random as the person selected all the 120 houses in the neighborhood.

Secondly, few samples do not represent a large population. The city must have many lawns and the lawns of a single area does not denote the lawns of the entire city.

So, the results will be inaccurate.

8 0
3 years ago
Read 2 more answers
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base diameter of 6cm? Round to the nearest tenths pla
SVETLANKA909090 [29]

Answer:

It is about 537.2

Step-by-step explanation:

V= π · r^2 · h

V= π · 3^2 · 19

V≈ 537.2

6 0
3 years ago
If the length of a rectangle is
EastWind [94]

I think that the length's area is 6075

3 0
3 years ago
Other questions:
  • Which equation best represents the relationship between x and y in the graph?
    8·1 answer
  • When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
    9·1 answer
  • 1. Find the product of three and the sum of two and four. *
    12·2 answers
  • -2 (6-x)+4x = 8 (2x+5)
    10·1 answer
  • Which of the following expressions are equivalent to -3x- 6/10
    12·1 answer
  • carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for carly to walk a mile if there are 5,280 fe
    9·1 answer
  • An oil well produces 159 gallons of oil every day. A standard oil barrel holds 42
    7·1 answer
  • Please i need this to be done. The end of the marking period is Friday and i have until tomorrow to do some of this can anyone h
    8·1 answer
  • I need help with this math question
    7·1 answer
  • Which relation represents the pattern in the table of values?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!