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
nignag [31]
3 years ago
11

The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

You might be interested in
Week 5 Quiz - Saving (15pts) 1. If the interest rate on a savings account is 0.01%, approximately how much money do you need to
LenaWriter [7]
In order to calculate the minimum amount required, we will first round the below-minimum-balance fee to $10. Next, we will use the equation:
A = I * (IR)^n, where A is the amount after n years and I is the initial investment and IR is the interest rate per year.
10 = I*(0.0001)^1
I = $100,000
$100,000 must be in the account to cover the minimum fees.
4 0
3 years ago
Find the length. Round your answer to the nearest tenth
Yuri [45]
C it’s the answer I think maybe
6 0
3 years ago
Nine times a number decreased by 4 yields four times the number increased by 16
Eva8 [605]
The answer would be the following:
9 x - 4 = 4x + 16


8 0
3 years ago
What is the equation of the line that passes through the point (−3,2) and has an undefined slope?
kirza4 [7]

The answer is x=-3

Sure hope this helps you

4 0
2 years ago
The graph represents part of Brooke's trip to work. During what time period is her speed decreasing?
Dafna11 [192]

B. Between 20 and 25 minuets

Brooke's speed is decreasing between 20 and 25 minutes. According to the graph Brooke's speed is decreasing during that time period.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Balls numbered 1 through 10 are in a bag. Someone draws a ball, records the number, the puts it back. Another person does the sa
    9·1 answer
  • Point P, Q, and R are shown on the number line. What is the distance between point P and point Q? P(-76) Q(-24) R(0) A) 52 units
    8·2 answers
  • Line DF bisects angle EDG. Find FG. The diagram is not to scale.
    13·2 answers
  • A right triangle has a 35 degree angle. The opposite leg to that angle is 12m long. Find the hypotenuse
    8·1 answer
  • Please help im so confused??<br> What is the surface area of the sphere below?
    15·2 answers
  • Solve the following system of equations by substitution and select the correct answer below:
    13·2 answers
  • Which expressions are polynomials?
    8·2 answers
  • 1 8/9 - 1 y/3 = -4/9 <br><br>Solve for y. ​
    7·1 answer
  • 4x - 3y = 23
    13·1 answer
  • What is the area of the parallelogram?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!