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
Nastasia [14]
3 years ago
12

Find the coordinates of the circumcenter of triangle ABC with vertices A(1,4) B(1,2) and C(6,2)

Mathematics
2 answers:
zloy xaker [14]3 years ago
7 0

Answer:

D. (3.5, 3)

Step-by-step explanation:

Just something simple

Ray Of Light [21]3 years ago
6 0
<span>(3.5, 3) is the circumcenter of triangle ABC. The circumcenter of a triangle is the intersection of the perpendicular bisectors of each side. All three of these perpendicular bisectors will intersect at the same point. So you have a nice self check to make sure your math is correct. Now let's calculate the equation for these bisectors. Line segment AB: Slope (4-2)/(1-1) = 2/0 = infinity. This line segment is perfectly vertical. So the bisector will be perfectly horizontal, and will pass through ((1+1)/2, (4+2)/2) = (2/2, 6/2) = (1,3). So the equation for this perpendicular bisector is y = 3. Line segment BC (2-2)/(6-1) = 0/5 = 0 This line segment is perfectly horizontal. So the bisector will be perfectly vertical, and will pass through ((1+6)/2,(2+2)/2) = (7/2, 4/2) = (3.5, 2) So the equation for this perpendicular bisector is x=3.5 So those two bisectors will intersect at point (3.5,3) which is the circumcenter of triangle ABC. Now let's do a cross check to make sure that's correct. Line segment AC Slope = (4-2)/(1-6) = 2/-5 = -2/5 The perpendicular will have slope 5/2 = 2.5. So the equation is of the form y = 2.5*x + b And will pass through the point ((1+6)/2, (4+2)/2) = (7/2, 6/2) = (3.5, 3) Plug in those coordinates and calculate b. y = 2.5x + b 3 = 2.5*3.5 + b 3 = 8.75 + b -5.75 = b So the equation for the 3rd bisector is y = 2.5x - 5.75 Now let's check if the intersection with this line against the other 2 works. Determining intersection between bisector of AC and AB y = 2.5x - 5.75 y = 3 3 = 2.5x - 5.75 8.75 = 2.5x 3.5 = x And we get the correct value. Now to check AC and BC y = 2.5x - 5.75 x = 3.5 y = 2.5*3.5 - 5.75 y = 8.75 - 5.75 y = 3 And we still get the correct intersection.</span>
You might be interested in
Can someone help me with this problem? thank you!
abruzzese [7]

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

3 0
2 years ago
Read 2 more answers
Answer please, thanks.
Rudik [331]
A) The perimeter is the length around the rectangle, so it would be 2 + 5 + 2 + 5 = 14m

The area is 2m * 5m = 10m^2

b/c) You have to draw a rectangle with a perimeter of 14m, and an area that ISN'T 10m^2. You could draw a 3m by 4m rectangle which would have a perimeter of 14m and an area of 12m^2.
4 0
3 years ago
I'll give brainliest to whoever answers and gets it correct :))))) wrong answers and links will be reported
levacccp [35]

Answer:

y = 3x + 2; y = -x + 4

Step-by-step explanation:

Slope intercept form is in y = mx + b, where m is the slope and b is the y-intercept. In the first image, 2 is the y-intercept and 3 is the slope, yielding the equation y = 3x + 2.

For the second, 4 is the y-intercept and -1 is the slope, so the answer to the second image is y = -x + 4.

3 0
2 years ago
Read 2 more answers
The sum of two numbers is 180. one number is 5 times the other
stepan [7]
30 & 150. 150 is five times 30, and 150+30=180
8 0
3 years ago
Read 2 more answers
Considerando √2=1,4 caculando o valor de 5√2
Stells [14]
The answer would be
8 0
2 years ago
Other questions:
  • Approximately how many times greater is 1.2×103 than 4×10−1 ?
    12·1 answer
  • If D=25 use information in the figure below to determine angle F
    7·1 answer
  • How many times larger is 8*10^6 than 2*10^2
    15·1 answer
  • Drew's father bought 40 liters of gasoline at $.68 per liter. How much did he pay?​
    9·2 answers
  • What is the missing length of LM
    7·1 answer
  • 30% of consumers prefer to purchase elecktronicks online you randomly select 8 consumers find the probability that the number of
    14·1 answer
  • Two squares are ALWAYS similar true or false
    6·1 answer
  • Can someone please help me u can just do 5 and explain please
    9·1 answer
  • Find the least common denominator for these
    14·1 answer
  • Please help, ill give brainliest, only if its right
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!