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
Shkiper50 [21]
3 years ago
10

What are the coordinates of the circumcenter of this triangle?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

A(-2,5),B(-2,-1),C(8,-1)

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{-2-2}{2},\frac{5-1}{2})

M_A_B=(-2,2)

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

y=2 -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{-2+8}{2},\frac{-1-1}{2})

M_B_C=(3,-1)

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

x=3 -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

y=2 -----> equation A

x=3 -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

You might be interested in
I’m stuck on these 2 please need help on this
Schach [20]

Answer: i think it's either a or d

3 0
3 years ago
Read 2 more answers
Find the volume of the cylinder. Round your answer to the nearest tenth.
Juliette [100K]

Answer:

4948

Step-by-step explanation:

volme of a cylinder= πr^{2}×h

4 0
3 years ago
Read 2 more answers
Please help not to sure on this one thank you
belka [17]
The answer would be B. bc you have to divide 168/ 5.25

6 0
3 years ago
What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?
Neko [114]

Answer:

the correct answer is the 3rd one

4 0
3 years ago
Read 2 more answers
Show division using an array 1. 24÷4 Quotient= Remainder=​
Lana71 [14]

Answer:

Quotient: 6

Remainder: None

Step-by-step explanation:

24 divided by 4 is 6.

3 0
2 years ago
Other questions:
  • A recipe for cookies calls for 4 cups of flour, half as much sugar as flour, and half as much butter as sugar. How many cups of
    8·2 answers
  • A recipe calls for 2 2/3  cups of flour. Terell wants to make 3 4 of the recipe. How much flour should he use?
    8·1 answer
  • Which is greater 2/5 or 3/10
    10·2 answers
  • Find the slope of the line that goes through the points (-11, -19) & (-11, -10)
    12·1 answer
  • What is the value of X in the following parallelogram?
    14·1 answer
  • Which equation has x = -2 as the solution?
    15·2 answers
  • How can we use a number line to help calculate elapsed time
    13·1 answer
  • It takes me 12 minutes to run 2 kilometers. how long will it take me to run 10000 meters
    6·2 answers
  • A grain silo has a cylindrical shape. Its diameter is, 19 ft and its height is 42 ft . What is the volume of the silo?
    9·1 answer
  • What is the distance between B to A<br> Please add the method.<br> The angle is 61 (a bit blurry)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!