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
S_A_V [24]
3 years ago
10

What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?

Mathematics
1 answer:
denis23 [38]3 years ago
6 0
The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle  (x,y):
d^2 = (x-x_0)^2 + (y-y_0)^2
Plugging in points A and B into distance formula, then setting them equal to each other gives:
(x-2)^2+(y-6)^2 = (x-2)^2 + y^2
Right away we can cancel out the x terms leaving:
(y-6)^2 = y^2
Expand Left side and Solve for y:
y^2 -12y +36 = y^2
y = 3
Plug in points B and C as before:
(x-2)^2 + y^2 = (x-10)^2 + y^2
Here we can cancel the y-terms.
Expand and solve for x:
x^2 -4x+4 = x^2 -20x+100
16x = 96
x = 6
Therefore the center of the circle is the point (6,3)
You might be interested in
The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.
konstantin123 [22]
Thank you for posting your question here. Please see below answers for the problem above:

a. to find the circumference of the tire you need to multiply 3.14 by 2.5:
 = 3.14 x 2.5
 = 7.85 to round of it will be 8

b. to get the number of times the tire have to rotate to travel 1 mile:

1 mile = 5,280 ft
1 rotation is 7.85 
5,280/7.85 = 672.611465
4 0
3 years ago
Help please pleassse​
ASHA 777 [7]

Answer:

n=\frac{8}{3}  or  n = 2\frac{2}{3}

Step-by-step explanation:

Multiply both sides of the equation by \frac{10}{3}

(\frac{10}{3}) (\frac{3}{10})*n= (\frac{10}{3})(\frac{4}{5})

Simplify both sides of the equation.

n=\frac{8}{3} or n = 2\frac{2}{3}

<em>hope this helps :)</em>

7 0
3 years ago
Jamil traveled 210 miles, which is 70% of the total
Sergio039 [100]

Answer: The correct answer is B because 0.7x=210, x=300

Step-by-step explanation:

210= 70% of the total distance to his grandfather's house, lets take that total distance for x.

So if:

210=0.7x

x=210/0.7

x=300

7 0
3 years ago
Solve each system by graphing<br> 7x-y=3<br> x-y=-3
Rudiy27
Here ya go... hope this helps (:

these are separate functions right? if not i'll do it again.

4 0
2 years ago
First person to answer<br> {15 x 17 x 45} + {76 x 54<br> gets crown
elena-14-01-66 [18.8K]

Step-by-step explanation:

Hey.. Use a calc dude

5 0
2 years ago
Read 2 more answers
Other questions:
  • You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jean
    10·1 answer
  • Can someone please help me with question 35?
    5·1 answer
  • I'm not very good with square roots. Can someone please explain it to me and help me understand how to do them?
    9·1 answer
  • How many solutions are there to the system of equations graphed below if the lines are parallel
    11·2 answers
  • How many halves make up the whole circle
    14·2 answers
  • Find the pattern: 1, 1/4, 1/9, 1/16, 1/25
    14·1 answer
  • I NEED HELP!! please show all work
    14·1 answer
  • A table is on sale for $289, which is 32% less than the regular price.
    12·1 answer
  • QuestionUse the Distributive Property to simplify the expression.9(3+c+4) =
    14·1 answer
  • In a random sample of 2500 sports fans, 61% prefer basketball over soccer.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!