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
alexgriva [62]
2 years ago
9

A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.

Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)

where:

(x_A,y_A)=(-7,3) are the coordinates of point A

(x_B,y_B)=(-1,0) are the coordinates of point B

(x_C,y_C) are the coordinates of point C

Solving the equation for x_C,

x_C = x_B + \frac{x_B-x_A}{3}=-1+\frac{-1-(-7)}{3}=1

Solving the equation for y_C,

y_C=y_B + \frac{y_B-y_A}{3}=0+\frac{0-3}{3}=-1

So, the coordinates of point C are

C(-1,1)

Learn more about how to divide segments:

brainly.com/question/3269852

brainly.com/question/11280112

#LearnwithBrainly

You might be interested in
1. How many degrees is x<br> .x<br> 41<br> 82<br> 20.5<br> o<br> 41<br> О<br> 10
Alja [10]

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

\frac{1}{2}[m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

5 0
2 years ago
What is the area of the playground shown? The edges of the playground meet at right angles, except for the edge whose length is
Dennis_Churaev [7]

Answer:

520,000

Step-by-step explanation:

1400 x 200 = 280000

(400 + 800) x 400 /2 = 240000

240000 + 280000 = 520000

3 0
2 years ago
9 boys can paint a basketball court in 3 hours how long should 1 boy take working at the same rate​
GaryK [48]
1 boy can work about 0.3 hours
i think that’s the answer,but good luck
7 0
3 years ago
The ratio of teachers to students in a school is 1:18.
sineoko [7]

Answer:

if there are 360 students, the number of teacher will be 6,480...

360:6,480

6 0
3 years ago
Read 2 more answers
What is an example of a rate of change
nekit [7.7K]
When you have lines in graphs for ex

Y=2x+7
2x is the rate of change

7 is the instant amt if the x=0 (or the y-intercept)
6 0
3 years ago
Other questions:
  • PLEASE HELP ASAPP<br><br> WRONG ANSWERS GET REPORTED GOOD ANSWERS GET BRAINLIEST, THANK YOU :)
    10·1 answer
  • B. Paul displays his sports trophies on shelves in his room. He has 5 trophies on each of 3 shelves and 2 trophies on another sh
    7·2 answers
  • Kyle mows 5 lawns a day 3 days a week 4 weeks a month and 6 months a year. He makes 20.09 per lawn. His expenses are: 8.00 a wee
    14·1 answer
  • to the nearest square unit what is the area of a regular octagon with a side length of 15 and an apothem of 18.1
    5·1 answer
  • Evaluate y^0. Please show working out. Thank you
    12·1 answer
  • Can someone answer with steps and explanation? Thanks.
    5·1 answer
  • Solve it 6x+3y=15 x=2and y=5
    6·1 answer
  • tamara finds the sum of two number cubes rolled at the same time. the chart below shows all possible sums frim thr 36 possible c
    13·1 answer
  • Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
    14·1 answer
  • Use the function f(x) = −16x2 + 60x + 16 to answer the questions.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!