A city library checked out 8,393 books last month. The library checked out 1,188 books this month how many books were checked ou
2 answers:
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The coordinate of P is (A) ( 40, 96).
<h3>What are coordinates?</h3>- Coordinates are two integers (Cartesian coordinates) or a letter and a number that point to a specific place on a grid known as a coordinate plane.
- A coordinate plane has four quadrants and two axes: x (horizontal) and y (vertical) (vertical).
To find What are the x- and y- coordinates of point p on the directed line segment from K to J:
It can be seen from the figure the coordinates of K and J:
- K ( 160 ,120) and J (-40 , 80)
The coordinates of P can be determined as:
So, as the P point divides the line into three-fifths of the length,
- KP = (3/5)KJ
- JP = (2/5) KJ
Which gives the ratio as 3: 2.
m:n = 3:2
- x = (3/5) (-40 -160) + (160)
- x = 40
- y = ( 3/5)(-40) +120
- y = 96
Therefore, the coordinate of P is (A) ( 40, 96).
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The complete question is shown below:
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
(A) (40, 96)
(B) (85, 105)
(C) (80, 104)
(D) (96, 72)
