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
QveST [7]
3 years ago
6

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

Mathematics
2 answers:
Mandarinka [93]3 years ago
7 0
<h3><u>Answer:</u></h3>

Hence, equation of circle is:

x^2+y^2-4y=48

<h3><u>Step-by-step explanation:</u></h3>

Te end points of the diameter are given to be:

(−6, 6) and (6, −2).

We know that the center of the circle is the mid-point of the diameter.

and the coordinates of the mid-point (e,f) of (a,b) and (c,d) is calculated as:

e=\dfrac{a+c}{2}, f=\dfrac{b+d}{2}

Here we have (a,b)=(-6,6) and (c,d)=(6,-2).

Hence, the coordinates of center (e,f) is calculated as:

e=\dfrac{-6+6}{2},f=\dfrac{6-2}{2}\\\\e=\dfrac{0}{2},f=\dfrac{4}{2}\\\\e=0,f=2

Hence, center is located at: (0,2)

Now, the radius of circle is the the distance between the center and a point on the circle.

i.e. distance between (0,2) and (6,-2).

We know that the distance between two points (a,b) and (c,d) is calculated as:

=\sqrt{(c-a)^2+(d-b)^2}

Here we have (a,b)=(0,2) and (c,d)=(6,-2)

Hence, the length of the radius is calculated as:

\sqrt{(6-0)^2+(-2-2)^2}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=2\sqrt{13}

Hence, the equation of the circle with center (h,k) and radius r is given by:

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

Hence, the equation of circle is:

(x-0)^2+(y-2)^2=(2\sqrt{13})^2\\\\x^2+y^2+4-4y=52\\\\x^2+y^2-4y=48

Hence, equation of circle is:

x^2+y^2-4y=48

Sergeeva-Olga [200]3 years ago
4 0
<span>i  Ace</span>hello :
let : A(-6,6)  B(6,-2)
the center is w((-6+6)/2 , (6-2)/2)....(midel <span>[ AB]
w(0 ,2)
the ridus is : r = AB/2
AB = </span>√(-6-6)²+(6+2)² = √(144+64) =<span>√208/2
</span>an equation in <span>standard form equation of the circle :
</span>(x+0)²+(y-2)² =  (√208/2)²=208/4 = 52
You might be interested in
Identify whether the following numbers are rational or irrational i) 0.11011001100011...........
Alinara [238K]

Answer:

i) is irrational and ii) is rational

Step-by-step explanation:

i) does not keep a consistent pattern. If it was .11011011011.... it would be a rational number, but since it keeps changing its pattern it would be considered irrational. ii) is rational because it has a consistent pattern that doesn't change.

7 0
2 years ago
Read 2 more answers
Liam's dad earns bonus miles for each mile that he flies on a trip. On his most recent trip, the pilot announced they were trave
vlada-n [284]

Answer:

880 bonus miles

Step-by-step explanation:

220 times 4 equals 880

8 0
3 years ago
(8.75-2.16)÷7.1+(4.5+1.3)÷4.3
kirill [66]

Answer:

2.27700622339

Step-by-step explanation:

Calculated your welcome

7 0
3 years ago
Read 2 more answers
Tony sees an outfit that he
REY [17]

Answer:

He need 345 $

Step-by-step explanation:

Data :

Shirt = 50 $

Pant = 75 $

Shoes = 375 $

Now add them

50 + 75 + 375 = 500 $ value 1

He has 155 $  value 2

Subtrate value 2 from value 1

    500 - 155 = 345 $

7 0
2 years ago
What is the cube root of -1/512
Stella [2.4K]

Answer:

-\frac{1}{8}

Step-by-step explanation:

\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}

7 0
2 years ago
Other questions:
  • What’s the answer!!! Please help ASAP
    6·2 answers
  • Can someone help me please ASAP PLEASE PLEASEEEEEE
    10·2 answers
  • A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 28 and a standard deviati
    5·1 answer
  • 1. Solve for the missing side: 3 7​
    13·1 answer
  • State if the two triangles are congruent. If they are, state how you know.
    7·1 answer
  • A newspaper article reports the results of an election between two candidates. The article says that Smith received 60% of the v
    6·1 answer
  • Millie can type 120 words in 3 minutes.how many words can she type per minute?
    15·2 answers
  • Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
    8·1 answer
  • Es para hoy ayúdenme por favor
    5·1 answer
  • A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!