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
Determine the y-intercept of the graph.
Georgia [21]

Answer:

Your y intercept is 1.

Step-by-step explanation:

slope is y2-y1 over x2-x1, or 2.

slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b

and if you solve that, 2x1=2, 3-2=1.

then you get 1 as your y intercept.

6 0
3 years ago
Simplify: 12÷12(4−6)<br> A. 2<br> B. -2<br> C. 1<br> D. - 0.5
Marina86 [1]
12÷(-24)
-1/2
-0.5

hope this helps u
6 0
3 years ago
Read 2 more answers
Which of the following is an example of parallel line
mote1985 [20]

c) opposite edges of a computer screen

6 0
3 years ago
Read 2 more answers
Rewrite the expression with a positive rational exponent simpmplify if possible 8^-5/3
jolli1 [7]

Answer:

Step-by-step explanation:

hello : here is an solution

8 0
3 years ago
The speed, v, of a wave is inversely proportional to the square root of the
yKpoI14uk [10]

Answer:

v = 120

Step-by-step explanation:

If v is inversely proportional to square root of d, then we can write

v \sqrt{d} = k    

If v  = 30 and d = 400, then

30(\sqrt{400}) = k

k = 30(20) = 600

Now v \sqrt{d} = 600

If d = 25, then v\sqrt{25} = 600

                         5v = 600

                            v = 120

5 0
3 years ago
Other questions:
  • muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack
    10·1 answer
  • How to do Riemann's Hypothesis?
    7·1 answer
  • Which of the following has a value CLOSEST to 0.5?
    6·1 answer
  • The school band sells tickets to raise money for a trip. The band spends $236 on food and $200 on the tickets. The band sells ea
    6·2 answers
  • How many milliliters are equal to 2.187 liters?
    8·2 answers
  • Plz solve this <br>ans = 4400​
    9·1 answer
  • Sara got 37 out of 50 questions right, and Tony got 29 out 40, who did better, Tony or Sara?​
    10·2 answers
  • Please help me, I would very much appreciate it. ​
    7·1 answer
  • GIVING BRAINLIEST FOR BEST ANSWER!<br> Write a story that could represent this math problem.
    14·2 answers
  • Can someone help me , what is 525 x 358 ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!