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Gnesinka [82]
3 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]3 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).

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Step-by-step explanation:

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My sister is crazy about Taylor Swift-and I do mean C-R-A-Z-Y. She is constantly buying magazines and tearing out any page that
matrenka [14]

Answer:

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Step-by-step explanation:

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4 0
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If 5\9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?
Blizzard [7]

Answer:

It would take 3.6 mins.

Step-by-step explanation:

In order to find this, we simply divide the amount of time by the amount of the tank that is filled.

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What is the value of this expression <br>5+(5-9)^2+3(16÷8)​
kaheart [24]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
3. Rewrite -2x + 3y = 6 in slope intercept form.​
zaharov [31]

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Further explanation:

The standard slope-intercept form is:

y=mx+b

Given equation is:

-2x+3y=6

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

<u>Adding 2x on both sides</u>

-2x+3y+2x=6+2x\\3y=2x+6

<u>Dividing both sides by 3</u>

\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}

<u>Simplifying</u>

y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240

#learnwithBrainly

4 0
3 years ago
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