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
Find the exact value of the expression<br> cos10°cos20°-sin10°sin20°<br> Please Help
Svet_ta [14]
Cos10 cos20 -sin10 sin20 = cos(10+20) = cos30 = √3/2
5 0
4 years ago
NEED HELP! will give brainiest!!
Flura [38]

Answer: 62999

Step-by-step explanation: sorry if wrong

3 0
2 years ago
The volume of a right cone is 264 π units. if its circumference measures 12 π units, find its height
abruzzese [7]

Answer:

r = \frac{12\pi }{\pi } / 2 = 6

volume = 1/3 * π * r² * h

h = 3 * V/π * r^{2}

h = \frac{3 * 264\pi }{\pi  * 6^{2} } = 22

8 0
2 years ago
Please answer ASAP....................................................thanks
Nikolay [14]

Answer:

I'm going to say answer B for the first question. I'm not sure for the second question.

Step-by-step explanation:

Angles are congruent when they are the same size.

5 0
3 years ago
What measure of center best represents the data set?
inysia [295]
I feel like it would be mean or median, because there is no outlier, making it so that all of the numbers are closely put together.

Put the set into order.

25, 26, 27, 28, 29

So, we know that this is all in order, making it so that we know for sure that there is no outlier. 

If you find the mean, it'll represent the data nicely. 

We know that both the mean and median represent the data set nicely, because it just does. It's one of those things that are extremely painful and hard to fully explain and have someone understand, but don't worry, it makes sense.

So, it can't just be the mean only or the median only.

It also can't be the mode only, because THERE IS NO MODE! 

So, our final answer is mean or median :)

~Hope I helped!~
7 0
4 years ago
Other questions:
  • Which equation represents a circle with a radius of 7 and a center with coordinates (-2,5)?
    12·1 answer
  • Mary wants to figure out how much space she has in her pencil holder. What is the volume, in cubic centimeters, of her pencil ho
    7·1 answer
  • The vertices of triangle PQR are listed below.
    6·1 answer
  • Nagoya read a book cover to cover in a single session at a rate of 55 pages per hour after 4 hours he had 350 pages left to read
    8·1 answer
  • RATIONAL NUMBER halfway between 3/4 and 7/8
    13·1 answer
  • If you invest 300 dollars in an account at 7.5 percent interest per year simple interest how much will you bave in the account a
    6·1 answer
  • Carlos spent 1 1/4 hours doing his math homework he spent 1/4 of his time practicing his multiplication facts how many hours to
    7·2 answers
  • What is volume of the pyramid??
    9·1 answer
  • Nikki saved 15% on a<br> $100 purchase. How much<br> did she pay
    10·1 answer
  • I believe X=4, but i could be wrong with the whole thing
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!