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Gnesinka [82]
4 years ago
13

What are the coordinates of the point on the directed line segment from (4, -3)(4,−3) to (9, -8)(9,−8) that partitions the segme

nt into a ratio of 3 to 2?
Mathematics
1 answer:
jekas [21]4 years ago
8 0

Answer:

  (7, -6)

Step-by-step explanation:

You want to find point X on the segment from A to B such that ...

  (X -A)/(B -X) = 3/2

  2(X -A) = 3(B -X) . . . . . . cross multiply

  2X -2A = 3B -3X . . . . . eliminate parentheses

  5X = 2A +3B . . . . . . . . add 3X +2A

  X = (2A +3B)/5 . . . . . . . divide by 5

Filling in the given points for A and B, we have ...

  X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5

  X = (7, -6)

The point that divides the segment in the proportions 3:2 is (7, -6).

You might be interested in
Which steps should be taken to solve the equation
Leviafan [203]

Answer:

Remove 1 x-tile from both sides.

Remove 3 unit tiles from both sides.

Step-by-step explanation:

2x + 3 = x + 5

First we want all the variables on one side

Subtract x from each side so Remove 1 x-tile from both sides.

x+3 = 5

Now we need to get all the constants on the same side

Subtract 3 from each side so Remove 3 unit tiles from both sides.

x = 5-3

x=2

7 0
3 years ago
Read 2 more answers
Which is an equivalent form of the expression 1800(1.2)^-t
ololo11 [35]

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

7 0
2 years ago
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of
Komok [63]

Answer:

Length = 6.25 feet

Step-by-step explanation:

Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.

Let the width is x.

Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet

Perimeter = 20 feet

2(l+b) = 20

(l+b) = 10

(x+2.5+x) = 10

2x+2.5 = 10

2x = 7.5

x = 3.75 feet

Length = (x+2.5)

= (3.75+2.5)

= 6.25 feet

So, the length of the garden is 6.25 feet.

3 0
3 years ago
The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the ind
Fudgin [204]

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

8 0
3 years ago
Solve the system using elimination 6x-3y=15 and 7x+4y=10
Oxana [17]
6x - 3y = 15.....multiply by 4
7x + 4y = 10....multiply by 3
---------------
24x - 12y = 60 (result of multiplying by 4)
21x + 12y = 30 (result of multiplying by 3)
---------------add
45x = 90
x = 90/45
x = 2

6x - 3y = 15
6(2) - 3y = 15
12 - 3y = 15
-3y = 15 - 12
-3y = 3
y = -3/3
y = -1

solution is (2,-1) <==
8 0
3 years ago
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