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
frutty [35]
3 years ago
7

Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation

You might be interested in
Select the correct inequality that matches the following situations Jared spent at least $135 on tickets to red sox game. What i
ololo11 [35]
The last option because he spent $135 or more
7 0
2 years ago
AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that
Solnce55 [7]

Given:

AB is the diameter of a circle.

m∠CAB = 26°

To find:

The measure of m∠CBA.

Solution:

Angle formed in the diameter of a circle is always 90°.

⇒ m∠ACB = 90°

In triangle ACB,

Sum of the angles in the triangle = 180°

m∠CAB + m∠ACB + m∠CBA = 180°

26° + 90° + m∠CBA = 180°

116° + m∠CBA = 180°

Subtract 116° from both sides.

116° + m∠CBA - 116° = 180° - 116°

m∠CBA = 64°

The measure of m∠CBA is 64°.

7 0
3 years ago
Find the zeros of the function. Write the smaller solution first, and the larger solution second.
Mama L [17]
It is the correct
Just take it easy

3 0
3 years ago
6.23+(-12.49)-2.6<br> What's the answer?
Mila [183]
6.23+ -12.49 -2.6= 6.23+ -12.49+ -2.6
-6.26+-2.6= -8.86
4 0
3 years ago
Read 2 more answers
Which of the following is the cube root of -64/243
lilavasa [31]

Answer:

-(4/7)

or

if you are above 11th standard

4/7i

4 0
3 years ago
Other questions:
  • A discounted amusement park ticket costs $12.95 less than the original price p. write and solve an equation to find the original
    6·2 answers
  • How do you solve this absolute value equation? ∣x−2∣=∣4+x∣
    6·1 answer
  • 4/18 is closest to: 1/2 or 1 whole
    8·2 answers
  • This table shows the size, in acres, of four large water parks.
    11·2 answers
  • The area of a rectangle is 4242 square inches. The length is 77 inches. What is the perimeter of the rectangle?
    13·1 answer
  • What equals thirty eight?
    15·2 answers
  • Pamela has a 30-year, 5.75% mortgage on her $250,000 home. She has been
    5·2 answers
  • What is the area? Pls help! Will give brainliest if possible!
    6·2 answers
  • The sum of 13 and twice n
    6·1 answer
  • A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!