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
Vsevolod [243]
3 years ago
11

30 POINTS AVAILABLE

Mathematics
1 answer:
kherson [118]3 years ago
3 0

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

You might be interested in
1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did sh
Yuliya22 [10]
Lisa took a trip to Kuwait upon leaving she decided to convert all of her dinars back into dollars how many
3 0
2 years ago
3(x - 2) + 48 = -3x
kow [346]

Answer: X=-7

Step-by-step explanation:

Using PEMDAS;

Step 1: Distribute the "3" in the part of the equation "3(x-2)"

3x - 6

Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation

Therefore, re-written as,

3x - 6 + 48 = -3x

Step 3: Evaluate the re-written equation

Using basic mathematics skills, we can evaluate the following,

3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x

As shown, the answer is x=-7.

8 0
3 years ago
How old is Michael now?
anyanavicka [17]
Which Michael?? There are many many many Michaels in the world
3 0
3 years ago
Pls help me!!!!!!!!!
Aliun [14]

Answer:

The perimeter is 30 units

Step-by-step explanation:

To find the perimeter of SOW, what we need to do is to add all the lengths around the triangle together.

But we only have OS, we do not have OW and WS. Thus , we need to get what the values of these lengths are before we can calculate the perimeter.

Please check the attachment for complete solution.

3 0
2 years ago
What occurs during this natural disaster?
romanna [79]

Answer:  examples are floods, hurricanes, tornadoes, volcanic eruptions, earthquakes, tsunamis, storms, and other geologic processes.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Point m is the center of a regular octagon what is one portion of octagon
    11·1 answer
  • What is the answer???
    12·2 answers
  • Ben and Cam are scuba diving. Ben is 15.815.8 meters below the surface of the water. Cam is 4.24.2 meters above Ben. What is Cam
    11·2 answers
  • 6x²-3x+8x-6 Plz do grouping for it
    8·1 answer
  • Sanjib has 348 marbles .Harry has 100fewer marbles than sanjib.Ari has 10more marble than Harry.Write the number of marbles each
    11·1 answer
  • what is an art and a science that deals with the collection,organization,creative presentation and analysis of data? A.physics B
    5·1 answer
  • Abby can paint 1/3 of her room in 30 minutes.at what rate could she paint her room?
    11·2 answers
  • Please help the answer is not 59 o think
    10·1 answer
  • A rectangular pyramid has a height of 5 inches, width of 4 inches and length of 9 inches. What is the volume of the pyramid
    9·1 answer
  • A college counselor would like to select an SRS of all of the 525 students in the college. She uses the numbers from 001 to 525
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!