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
Westkost [7]
3 years ago
7

Given that the endpoints of a diameter are (7,-3) and (-1,7), determine the equation of the circle.

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0

Answer:

The equation of the circle is written as:

(x-h)²+(y-k)²=r²

'h' and 'k' are the x and y coordinates of the center of the circle and 'r' is the radius.

You are given that the diameter coordinates, so find the halfway point for the center then calculate the radius

Midpoint  = ( \frac{x_1 + x_2  }{2}, \frac{y_1 + y_2}{2} ) \\  = ( \frac{7 + ( - 1)}{2} , \frac{ (- 3 )+ 7}{2} ) \\  = ( \frac{6}{2} ,\frac{4}{2} ) = (3,2)

So, h=3 and k=2

Now find the radius by finding the distance between the center point and the end point.

Distance=√{(7-3)²+(-3-2)²}=√{(4)²+(-5)²} =√{16+25}=√41

Equation of the circle:

(x-3)²+(y-2)²=41 ✓

Margaret [11]3 years ago
5 0

The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^r

H and k are the x and y coordinates of the center of the circle and r is the radius.

You are given the diameter coordinates so find the halfway point for the center then calculate the radius

Midpoint = (x1 +x2)/2, (y1 + y2)/2

Midpoint = (7 + -1)/2, (-3 +7)/2

Midpoint = 6/2, 4/2

Midpoint = 3,2

So h = 3 and k = 2

Now find radius by finding the distance between the center point and an end point.

Distance = sqrt(41)

Equation of the circle:

(X-3)^2 + (y-2)^2 = 41

You might be interested in
How many solutions does the equation have?
Neporo4naja [7]
Im going with C
hope this helps
7 0
3 years ago
Read 2 more answers
What type of triangle is this
olga_2 [115]

Answer:

an acute triangle

Explanation:

All of the angles are less than 90 degrees, which is an acute triangle.

3 0
2 years ago
Read 2 more answers
Which expression is equivalent to a + (c + 7)?
Vikki [24]

Answer:

(a+c)+7

Step-by-step explanation:

this is called the Associative Property

(x+y)+z=x+(y+z)

3 0
3 years ago
Read 2 more answers
Which of the follow is is trinomial
sasho [114]

Answer:

A. 3x^2 + 4x + 1

Step-by-step explanation:

A is the correct answer because there are three terms within the trinomial

6 0
3 years ago
Read 2 more answers
WILL MARK AS BRAINIEST!!!!!!! In this triangle, which of the following is true?
prisoha [69]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180

x = 180° - (90 + 35)° = 180° - 125° = 55°

----------------------------------------------------------

Since the triangle is right use the cosine ratio to solve for b

cos35° = \frac{adjacent}{hypotenuse} = \frac{b}{20}

Multiply both sides by 20

20 × cos35° = b, hence

b = 16.38 ( to 2 dec. places )

7 0
3 years ago
Read 2 more answers
Other questions:
  • If AD = 2 and DC = 8, find BD.
    14·1 answer
  • Find the total surface area of this cylinder. Give your answer to one decimal place first correct answer will get brainliest and
    14·1 answer
  • What is the sign of the product of three negative integers? Give an example.
    13·2 answers
  • How do yo to adding and subtracting with unlike denominators
    14·1 answer
  • What's 5+5????????????????
    8·2 answers
  • Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
    7·2 answers
  • Y+5=-4(x-3) in standard form
    6·1 answer
  • Write the equation of the line that passes through (-4,3) and is parallel to y = -2x - 8.
    6·1 answer
  • Calculate the area for each shape.
    15·1 answer
  • Which inequality represents the graph shown below?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!