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
Fred earns $6.50 an hour, plus tips, as a waiter. Suppose he works 26 hours in a week. How much money must he receive in tips to
Sladkaya [172]
X > $60 This might be the answer

8 0
3 years ago
Read 2 more answers
Which of<br> the following describes the polynomial function?
expeople1 [14]

Answer:

can you put an illustration or picture for me to understand what your saying?.

Step-by-step explanation:

8 0
3 years ago
Brianna went to the store to buy some clothes. She bought 9 pairs of pants at $20 per pair of pants, and 11 shirts that cost $15
stealth61 [152]

Answer:

$345 : whichever is closest

Step-by-step explanation:

Pants were $20 each and she bought 9 of them so multiply:

9x20=180

She paid $180 for 9 pants.

Shirts cost $15 each and she bought 11 of them so Mulitply:

15x11=165

She paid $165 for 11 shirts

Add both totals from pants and shirts

165+180=$345

5 0
3 years ago
Jenny bought 4 DVD's for $25.20. What was the unit rate?
alukav5142 [94]

I think its 6.3........

5 0
3 years ago
Read 2 more answers
He gave out half of the cookies in the morning. At lunch, he gave out 14 more. He then had 8 cookies left. How many cookies did
Vsevolod [243]

Answer:

44 cookies

Step-by-step explanation:

add the remaining cookies to the ones he gave away

(8+14)=22

double that

22x2

answer

44

3 0
3 years ago
Other questions:
  • If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to p
    6·1 answer
  • Can you help me simplify it?
    7·1 answer
  • The distance from your house to the ice cream shop is 12 miles. Your best friend’s house is on the segment between your house an
    11·1 answer
  • Devin will equally divide 23 tablespoon of oregano into 4 spice mixes. How much oregano will he put in each of the 4 spice mixes
    7·2 answers
  • What is the fraction 15/20 in its simplest form
    13·1 answer
  • Combine the like terms to make a simpler expression:<br> -n + (-3) + 3n +5
    9·1 answer
  • a 4-digit password is a number that begins with a 3 and does not contain a zero or nine. if digits can be repeated, how many pos
    15·1 answer
  • David drew a scaled down model of a racquetball court he played on last week what is the actual perimeter of the court david pla
    6·1 answer
  • Marco's family is renting a cabin by the lake. The cost is $40 per day plus a one-time cleaning fee of $60. How many whole days
    15·1 answer
  • Pls help me I give brainliest
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!