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
Jet001 [13]
3 years ago
7

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D

divides in the ratio 4 : 5, the coordinates of point D are

Mathematics
2 answers:
polet [3.4K]3 years ago
4 0
Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10
Also,
\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
Therefore
\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11
Also,
\frac{5-y}{5-(-4)} = \frac{4}{9}  \\ 5-y = 4 \\ y = 1

Answer:
The coordinates of D are (1.11, 1)

Vadim26 [7]3 years ago
4 0

Answer:

I just had to do this problem and,

B is (10, -4) and D is (58/9, -2)

Step-by-step explanation:

You might be interested in
I need this for myself. Help
Ivenika [448]
The answer is b because -2x+1-1<=-35 = -2x<=-36
4 0
3 years ago
Read 2 more answers
Help me plzzzzzzzzzzzzzzzz
irina [24]

Answer:

ok

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How are the place value positions to either side of a particular number related
jenyasd209 [6]
I will draw a place value chart on paper than write the numbers
3 0
3 years ago
What are the coordinates of (-4,-2) rotating 90° counterclockwise?
RUDIKE [14]

Answer:

(2, -4)

Step-by-step explanation:

The rotation of an object <u>turns</u> the object around a <u>fixed point</u> called the center of rotation.  

A <u>rotation</u> of 90° counterclockwise means:

A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.

The rule for a counterclockwise rotation of 90° about the origin is:

(x, y) → (-y, x)

Therefore:

(-4, -2) → (2, -4)

Learn more about transformations here:

brainly.com/question/27013652

brainly.com/question/28225350

4 0
1 year ago
Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.
4vir4ik [10]

Answer:

21 yrs old

Step-by-step explanation:

m= michael age

b=Brandon age

m=b+12

m-17=4(b-17)= 4b-68 --»»m = 4b -51

//put b+12 instead m// b+12=4b-51

3b=63 --»»b=21

Brandon age is 21

Michael age is 33

3 0
3 years ago
Read 2 more answers
Other questions:
  • Ellen draws two plane figures.one of the figures has 3 more angles than the other figure.what shapes could she have drawn?
    11·1 answer
  • 7 times as many as 9 is
    6·1 answer
  • Find the slope of the line that contains these points (-2,5) (-4,11)
    5·2 answers
  • Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain
    14·1 answer
  • If the measure of angle 2 = 7x + 7 and the measure of angle 4 = 5x + 27, find the following
    13·1 answer
  • An airline estimates that 94% of people booked on their flights actually show up. If the airline books 68 people on a flight for
    12·1 answer
  • What is the area of the circle?​
    6·2 answers
  • Complete the table showing the price of different amounts of grapes at this rate
    13·1 answer
  • How do I get the area of a circle?<br>​
    12·2 answers
  • Mondo correctly finds the closest benchmarks for three numbers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!