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
Bingel [31]
3 years ago
15

Write the equation of the circumference that meets the condition: Center on the line: x -4y = 1 And it passes through the points

A (3,7) and B (5,5)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

(x + 3)² + (y + 1)² = 100

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center of the circle and r is the radius.

The center is on the line x − 4y = 1, so:

h − 4k = 1

h = 1 + 4k

(x − 1 − 4k)² + (y − k)² = r²

Two points on the line are (3, 7) and (5, 5), so:

(3 − 1 − 4k)² + (7 − k)² = r²

(5 − 1 − 4k)² + (5 − k)² = r²

Set the equations equal:

(3 − 1 − 4k)² + (7 − k)² = (5 − 1 − 4k)² + (5 − k)²

(2 − 4k)² + (7 − k)² = (4 − 4k)² + (5 − k)²

4 − 16k + 16k² + 49 − 14k + k² = 16 − 32k + 16k² + 25 − 10k + k²

4 − 16k + 49 − 14k = 16 − 32k + 25 − 10k

53 − 30k = 41 − 42k

12k = -12

k = -1

h = 1 + 4k

h = -3

(3 − 1 − 4k)² + (7 − k)² = r²

(3 − 1 + 4)² + (7 + 1)² = r²

6² + 8² = r²

r = 10

Therefore, the equation of the circle is:

(x + 3)² + (y + 1)² = 10²

You might be interested in
a relay team of 4 people runs 3 mile. it each person runs the same distance, how many miles does each person run?
Bingel [31]
Each person runs 3/4 miles.
6 0
2 years ago
Anna is 4ft 9in tall. Express Anna's height in feet only by using a mixed number. If necessary, simplifyvthe fraction part of th
Svetach [21]
So we know that there are 12 inches in a foot. With this information we can do this:4 \frac{9}{12} But if you look you can see that the fraction is not simplified. How can we simplify it? Well, what is the Greatest Common Factor of 9 and 12? Well, the answer is 3! So divide 9 and 12 by three! SO the answer would be: 4 \frac{3}{4} I hope this helps!
6 0
3 years ago
EMERGENCY PLEASE HELP (22 points)<br> Look at pic to see problem
Genrish500 [490]

Answer:

(-4, 7)

Step-by-step explanation:

x is found on the x axis its -4

to find y you go up to where the point bvb is it is located at positive 7

4 0
3 years ago
Read 2 more answers
ILL put you as brainliest
ICE Princess25 [194]
Just replace x with whatever , and see if it works. If it works then it is a solution; otherwise it's not.

1^2 is not 2
(1/2)^2 isn't 2 either...
and so on
3 0
3 years ago
Read 2 more answers
Question 1<br> Which of the following is a rational number?<br> (15./16, 121, V22
mel-nik [20]

Answer:

\sqrt{22}

Should be the answer

6 0
3 years ago
Other questions:
  • 8(x+2)=56 HELP PLZZ ANYONE<br> Use the Distributive Property to solve the equation.
    6·1 answer
  • What is the circumference of a circle if the diameter is 6.4
    15·2 answers
  • 247000 in standard form
    10·1 answer
  • Calcute the area and height of the trapezoid.​
    11·1 answer
  • I need the answer to number 5 ASAP
    10·1 answer
  • A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on W
    15·1 answer
  • How do i calculate this? PV = 100,000(1+0.03)
    14·1 answer
  • What is the volume of the priam?<br> 5cm<br> 8cm<br> 152 cm
    11·2 answers
  • HELP ASAP!!! I WILL GIVE BRAINLIEST
    11·2 answers
  • Factorise<br><br> 0=X^2+3x-3
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!