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
pav-90 [236]
3 years ago
6

If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

The horizontal distance AB is equal to

AB_x=10-2=8\ units

The vertical distance AB is equal to

AB_y=10-4=6\ units

Find the horizontal coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

4CB_x=8\\CB_x=2

AC_x=3(2)=6

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

C_y=A_y+AC_y=4+4.5=8.5

therefore

The coordinates of point C are (8,8.5)

You might be interested in
Sarah bought 6 2/3 yards of material. She used 3/4 of the material to make a costume for the school play. How much material did
Lelechka [254]
You’re full of cap don’t cap next time you’re capping the answer is 5/3
7 0
3 years ago
PLEASE HELP!!!!!PLEASE.
alisha [4.7K]
Can you put spaces to make these easier to read? Plus, none of these have a horizontal asymphote of y = -3. At least if I’m understanding what you put correctly, A does have a vertical asymphote of x = -3 however.
6 0
3 years ago
Help meeeeeeeeeeeeeeeeeeeeeee !!!!!
stiv31 [10]

Answer:

i think it is the 2nd one and the 5th one.

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest

6 0
3 years ago
The sum of the 10 terms in a geometric series with a first term of 5 and a common ratio of 2 is 5115. What is the sum of the 10
Levart [38]

Answer:

It’s 11

Step-by-step explanation:

4 0
3 years ago
The cafeteria workers are preparing snack bags of strawberries for the students. They have a package of 82 strawberries and a pa
solmaris [256]

Answer:

30 bags

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Write equations and solve for x and y don't know what to do pls help
    5·1 answer
  • Please help I don't know am I am in the middle of doing this
    6·1 answer
  • Suppose that a student needs to buy 6 books for her history course. the number of books that she will be able to find used is a
    8·1 answer
  • PLEASE HELP
    8·2 answers
  • The expression can be rewritten as
    11·2 answers
  • Choose a value for b so that the relation below is not a function. ​
    8·1 answer
  • Write an equation that has an a-value of -2, a b-value of 1, and a c-value of 3.
    5·1 answer
  • Zaria is going down to the arcade to play
    7·1 answer
  • PLZ HELP ME ITA DUE IN AN HOUR
    15·2 answers
  • Y = 3x + 4<br> What is the y-intercept?<br> What is the slope?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!