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
poizon [28]
2 years ago
13

The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0). Write the equation of the circle in

standard form. Show all of your work for full credit.
Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

Answer: (x+0.5)^2+y^2=49

Step-by-step explanation:

Given

The diameter of circle terminates on the circumference with coordinates

(3,0) and (-4,0)

Distance between the two points is the diameter of the circle. The distance is given by distance formula i.e. d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

Insert the values

\Rightarrow d=\sqrt{\left(-4-3\right)^2+\left(0-0\right)^2}\\\\\Rightarrow d=\sqrt{(-7)^2+0}\\\Rightarrow d=7\\\text{So, the radius is r=}3.5\ \text{units}

The center of the circle is the mid-point of the two points i.e.

\Rightarrow x=\dfrac{3-4}{2}\\\\\Rightarrow x=-\dfrac{1}{2}\\\\\Rightarrow y=\dfrac{0+0}{2}\\\\\Rightarrow y=0\\\Rightarrow (x,y)\rightarrow (-\dfrac{1}{2},0)

The equation of the circle is given by

\Rightarrow (x-(0.5))^2+(y-0)^2=7^2\\\\\Rightarrow (x+0.5)^2+y^2=49

You might be interested in
6 to the second power ÷ [(4.3×3)+5.1]
Black_prince [1.1K]
2 is the answer
That’s the answer.
8 0
2 years ago
Pleaee help me with this im stuck
AURORKA [14]

the answers are clear if you use priority and equation rules.

  1. q=11
  2. u=2
  3. a=13
  4. l=8
  5. s=12
6 0
3 years ago
Read 2 more answers
Hello can someone help me with algebra 1 homework ?
lbvjy [14]
Whats the problem? I could help lol
3 0
3 years ago
Please help it’s urgent this assignment is almost due!!!?
Advocard [28]
The bottom answer. Bc I am learning this is class.
6 0
2 years ago
Read 2 more answers
Select all that are like terms to 5a5b4
Sunny_sXe [5.5K]
None of them are like terms you have 5a 5b and 4
6 0
3 years ago
Read 2 more answers
Other questions:
  • 27x to second power-42x+12 if x=2
    14·1 answer
  • hELP!!! PLEASE?! BRAINLIEST ANSWER INCLUDED!!! A cashier has a total of 98 bills, made up of fives and fifties. The total value
    5·1 answer
  • Rational numbers are _____ natural numbers.
    10·2 answers
  • I’m confused on this one
    7·2 answers
  • 2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa
    6·1 answer
  • Sweet T has 2 orange picks for every 5 green. If there are 21 picks in all, how many picks are orange?
    14·1 answer
  • Jose traveled 315 miles in 7 hours. Based on this rate, how many miles did Jose travel in one hour? Do not include units.
    6·2 answers
  • What is the quadratic. Formula?
    12·1 answer
  • 60,310,507 in word form
    15·1 answer
  • Michael went shopping at the mall for a pair of Nike sneakers. The Nike store is giving him a 10% student discount. If the origi
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!