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
Strike441 [17]
3 years ago
14

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:
Varvara68 [4.7K]3 years ago
6 0
1. Find the centre of the circle or the midpoint of the two numbers
(6-6/2}, (-2+6/2)
(0, 2)
2. Find radius using the distance formula
√<span>(6 - 2)² + (-6 - 0)²
</span>√4² + (-6)²
√16 + 36
√52
r = 7.21
3. Plug in
x² + (y - 2)² = 52

So it is option D 99% sure
Mazyrski [523]3 years ago
4 0

Answer:

(D) (x-0)^2+(y-2)^2=52

Step-by-step explanation:

It is given that the endpoints of the diameter of a circle are (−6, 6) and (6, −2).

Now, the standard form equation of the circle is:

(x-a)^2+(y-b)^2=r^2

where  (a,b) are the coordinates of the center and r is  the radius.

In order to find the center, first find the midpoint of the two given points, that is:

C=(\frac{-6+6}{2}, \frac{6-2}{2})

c=(0,2)

Thus, the center is (0,2).

Now, the radius is the distance from the center to either of  the two given points, therefore using distance formula,

r^2=(-6-0)^2+(6-2)^2

r^2=52

Also, the equation of the circle is:

(x-0)^2+(y-2)^2=52

Hence, option D is correct.

You might be interested in
If △ABC ≅ △DEF, then what corresponding side is congruent to side BA? (Enter answer using segment letters only.)
sdas [7]
<h3>Answer is   ED</h3>

note: ED is the same as DE. The order of the segment letters does not matter.

============================================

Explanation:

In the sequence ABC, the letter B is the second letter and A is the first.

So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.

The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".

3 0
3 years ago
There are 5 dogs and 3 cats per city block how many cats and dogs in 11 blocks
Lisa [10]

The answer is 88 because if you add 5+3 and then multiply by 11, you would equal out to 88 dogs and cats

6 0
3 years ago
Read 2 more answers
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
Anastasy [175]

Answer:

145 + 33n

Step-by-step explanation:

Let

n = number of members in the club

Day 1:

Cost = 50 + 18n

Day 2:

Cost = 95 + 15n

Total cost two-day field trip = day 1 + day 2

= (50 + 18n) + (95 + 15n)

= 50 + 18n + 95 + 15n

= 145 + 33n

Total cost two-day field trip = 145 + 33n

An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n

4 0
2 years ago
Your load is a container full of water. The container measures
solmaris [256]

Answer:

1282kg

Step-by-step explanation:

1.0*1.12*1.1=1.232 tonnes

50kg + 1232kg = 1282kg

Hope this helps :)

7 0
2 years ago
Read 2 more answers
X = _<br><br>•2<br><br>•6<br><br>•3.75<br><br>Thank you!​
konstantin123 [22]

Answer:

so is the value of six times 1

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what wa
    10·1 answer
  • Simplify 4.51^0 - which is it?<br> 4.51 ?<br> 1 ?<br> 0 ?<br> -1 ?
    6·1 answer
  • PLEASE HELP
    13·2 answers
  • It’s hard may anyone help me answer this question
    12·1 answer
  • How many edges does the figure have?
    12·1 answer
  • ⅘ of a packet of sweets are fizzy. If there are 40 sweets in the packet, how many are fizzy sweets?
    9·1 answer
  • Find the value of x.
    15·1 answer
  • Eighty percent of the tourists in a group took a bus and the rest took a taxi. The bus fare per person is 40% less than the taxi
    9·1 answer
  • MATH TEST. PLZ HELP!! PICK ABC OR D
    9·2 answers
  • Is 3.13 greater than 3.12
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!