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
larisa86 [58]
3 years ago
7

1. Given points A(3, -5) and B(19, -1), find the coordinates of point C that sit 3/8 of the way along line AB, closer to A than

to B.
2. Given points A(3, -5) and B(19, -1), find the coordinates of point C such that CB/AC = 1/7

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

1. C(x, y) = (7.3, –3.9)

2. C(x, y) = (17, –1.5)

Solution:

Question 1:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction \frac{3}{8}.

Point divides segment in the ratio formula:

$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)

Here, x_1=3, y_1=-5, x_2=19, y_2=-1 and m = 3, n = 8

$C(x, y)=\left(\frac{3\times19+8\times3}{3+8} , \frac{3\times(-1)+8\times(-5)}{3+8}\right)

           $=\left(\frac{57+24}{11} , \frac{-3-40}{11}\right)

           $=\left(\frac{81}{11} , \frac{-43}{11}\right)

C(x, y) = (7.3, –3.9)

Question 2:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction \frac{3}{8}.

Point divides segment in the ratio formula:

$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)

Here, x_1=3, y_1=-5, x_2=19, y_2=-1 and m = 7, n = 1

$C(x, y)=\left(\frac{7\times19+1\times3}{7+1} , \frac{7\times(-1)+1\times(-5)}{7+1}\right)

           $=\left(\frac{133+3}{8} , \frac{-7-5}{8}\right)

           $=\left(\frac{136}{8} , \frac{-12}{8}\right)

C(x, y) = (17, –1.5)

You might be interested in
The sales tax for a certain state can be found by multiplying the purchase price by 1/20 . What is the sales tax on an item that
Nuetrik [128]
The answer is $1.28 sale tax
Step-by-step explanation:
Multiply the cost of the item times 0.05 to get the amount of the sales tax:
25.60 * 0.05 = $1.28 sales tax
5 0
3 years ago
Read 2 more answers
An art club sells 42 large candles and 56 small candles.
Blizzard [7]

Answer:

378$

Step-by-step explanation:

3 0
3 years ago
;)))) <br><br><br><br><br><br> That emoji makes me feel awkward...yeah BYEE
s344n2d4d5 [400]

Answer:

same

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the area simply your answer
Goshia [24]
Area=base*height

A=(x+6)(2x+2)  

A=2(x+1)(x+6)  technically this is the simplified form, but they may want the expanded form...

A=2x^2+14x+12
3 0
3 years ago
What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?
snow_lady [41]
The answer is 
x=18,-2

6 0
3 years ago
Other questions:
  • a one day movie rental at red box cost $1.39. for each additional day there is a fee of $0.50.How much will it cost to rent a mo
    6·2 answers
  • What is the Inverse of the function f(x) = 1/9x+2
    11·2 answers
  • Rocky simplified an expression in three steps, as shown:
    14·2 answers
  • Which statement best describes her claim?
    13·1 answer
  • What is 7/20 as a simplified fraction
    6·2 answers
  • What is the solution of the following system of equation: 2X+Y=17 AND Y=X+14 ?
    11·1 answer
  • . A cake recipe calls for cup of butter. One tablespoon equals
    5·1 answer
  • The #3 pic can fit all of the boxes can you help me put them in the right box?
    13·1 answer
  • Plot the image of Point Q under the translation (x,y) (x-3, y + 4)
    15·1 answer
  • PLS HELP ASAP! WILL MARK BRAINLIEST<br> sin ∠A =<br><br> 3/5<br> 4/5<br> 3/4<br> 5/4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!