The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>
Suppose that there is a line segment
such that a point P(x,y) lying on that line segment
divides the line segment
in m:n, then, the coordinates of the point P is given by:

where we have:
- the coordinate of A is

- and the coordinate of B is

We're given that:
- Coordinate of A is
= (-7,2) - Coordinate of B is
= (9.-6) - The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)
Let the coordinate of P be (x,y), then we get the values of x and y as:

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
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Answer:
2%
Step-by-step explanation:
Solving our equation
r = 84 / ( 600 × 7 ) = 0.02
r = 0.02
converting r decimal to a percentage
R = 0.02 * 100 = 2%/year
The interest rate required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
over 7 years is 2% per year.
Answer: 1.834 ft
Step-by-step explanation:
Given
Walter's first Jump is 5 ft, 9 in.
His second Jump is 3 ft, 11 in.
We know,

Converting inches to feet
First Jump in feet

Second jump

The difference in the measurement of two Jumps is

So, Walter first Jump is 1.834 ft higher than the second Jump
Answer:
...
Step-by-step explanation:
Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5