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Elden [556K]
3 years ago
5

Points A, P and B are collinear such that P sits on line segment AB and partitions the segment so that AP to PB is in the ratio

2:3. Point A is located at (3,-1) and B is located at (8,14). Find the coordinates of P, the partition point.
Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

  P = (5, 5)

Step-by-step explanation:

For the given division, ...

  P = (2B +3A)/5

  P = (2(8, 14) +3(3, -1))/5 = (16+9, 28-3)/5 = (25, 25)/5

  P = (5, 5)

_____

For some division ratio of AP : PB = p : q, we have ...

  (P -A)/(B -P) = p/q

  q(P -A) = p(B -P)

  P(p+q) = pB +qA . . . . rearranging

  P = (pB +qA)/(p+q) . . . . . the formula we used above

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Answer:

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Step-by-step explanation:

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3 years ago
Question in the picture!!!
Dmitriy789 [7]

Answer:

140ft.^2

Step-by-step explanation:

3.5 x 4 = 14 (the width)

2.5 x 4 = 10 (the length)

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14 x 10 = 140

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3 years ago
And English class has read the first 384 pages of your novel. If this is 75% of the entire book, how many total pages are in the
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3 years ago
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Problem
Sergeu [11.5K]

The lengths of HJ and JK are 50 and 72 respectively.

Given: J is between H and K. the length of HJ=2x+4, JK=3x+3, and HK=22.

The line HJ and JK are  collinear then the total length is given as: HJ+JK=HK

substitute values

⇒ (2x+4)+(3x+3)=22

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Thus, the length of HJ is (2x+4)=(2*3+4)=10

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Learn more about collinear lines here: brainly.com/question/27943430

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We are given;

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