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
stepan [7]
3 years ago
9

a (1,4) b (-1,2) c (5,-2) are the vertices of triangle abc find the sum of coordinates of the point where the right bisector of

bc intersects the median through c
Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

3.

Step-by-step explanation:

Find the midpoint of BC:

midpoint = (-1+5)/2, (2-2)/2 = (2, 0).

The slope of BC = (2 - -2) / (-1-5) = -2/3.

Find the equation of the right bisector of BC:

The slope = -1 / -2/3 = 3/2.

y-y1 = m(x-x1)

y - 0 = 3/2(x - 2)

y = 3/2x - 3.

Now find the equation of the median through C:

The midpoint of AB = (1 - 1)/2, (4+2)/2

= (0, 3).

The equation of the median:

The slope = (-2-3) / (5-0)

= -1.

The equation is:

y - 3 = -1(x - 0)

y -3 = -x.

Now we find the point of intersection by solving the 2 equations:

y - 3 = -x

y = 3/2x - 3

y = -x + 3

So:

3/2x - 3 = -x + 3

3/2x + x = 6

5/2 x = 6

x = 12/5.

y =  -12/5 + 3

= -12/5 + 15/5

= 3/5.

The sum of the coordinates = 12/5 + 3 /5

= 15/5

= 3.

You might be interested in
Find the midpoint between two points on a coordinate plane whose coordinates are (5.7) and (-3, 1).
jok3333 [9.3K]

Answer:

(1,4)

Step-by-step explanation:

if~(x,y)~is~mid~point~of~(x_{1},y_{1})~and~ (x_{2},y_{2}~then\\x=\frac{x_{1}+x_{2}}{2} \\y=\frac{y_{1}+y_{2}}{2} \\x=\frac{5-3}{2} =\frac{2}{2}=1\\y=\frac{7+1}{2} =\frac{8}{2} =4

(x,y)→(1,4)

6 0
2 years ago
58 X 70 + 0 - 1 X 80<br><br> STARTING A NEW ACCOUNT SO HERES THE POINTS
laiz [17]

3980 that is the answer



3 0
3 years ago
Read 2 more answers
What is the equation of a line with a -y-intercept of -5 and a slope of 8.
zlopas [31]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = - 5, thus

y = 8x - 5 → B

8 0
3 years ago
Read 2 more answers
What inequality is represented by this number line?
makvit [3.9K]
It would be .....
Hope this helps
Have a happy holidays:)

3 0
3 years ago
A circle has a sector with area \dfrac{17}{2}\pi 2 17 ​ πstart fraction, 17, divided by, 2, end fraction, pi and central angle o
Nataliya [291]

Answer:

The area of the circle is equal to 9\pi.

Step-by-step explanation:

Given that,

The area of sector is, \dfrac{17}{2}\pi

The central angle is \dfrac{17}{9}\pi

We need to find the area of circle.

We know that,

\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi

So, the area of the circle is equal to 9\pi.

5 0
3 years ago
Other questions:
  • The whole is 8. One part is 8. What is the other part? Tell how you know.
    9·1 answer
  • A small rectangular swimming pool in a fitness centre measures 4 metres by 10 metres. It is surrounded by a path of width x mete
    14·1 answer
  • Which statement is correct?
    9·1 answer
  • What's .34 as a fraction
    15·2 answers
  • What is the exact volume of the cylinder?
    10·1 answer
  • What is the equation in the slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the li
    8·2 answers
  • West of Checkpoint A, which is at (0,5), are two hurdles that Helena needs to jump over. Hurdle 1 is 4 units west of Checkpoint
    6·1 answer
  • Write the equation of the line in fully simplified slope-intercept form<br><br><br>PLEASE HELP MEE
    8·2 answers
  • You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are wa
    12·1 answer
  • I need help a problem 11
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!