Monday

April 21, 2014

April 21, 2014

Posted by **Amber** on Wednesday, November 14, 2012 at 4:56am.

1) The segment joining (-4,7), (5,-2) is divided into two segments, one of which is 5 times as long as the other. Find the point of division.

2) The segment joining (4,0), (3, -2) is extended each way a distance equal to three times its own length. Find the terminal points.

Please show the solutions so I can study them. Thanks in advance :).

- Analytic Geometry -
**Steve**, Wednesday, November 14, 2012 at 10:14am1)

Naturally, there are two places to make the division: one near (-4,7) and the other near (5,-2)

Taking the one near (-4,7), we want a point which is 1/6 the way to (5,-2).

(-4 + 1/6 (5+4),7 + 1/6 (-2-7)) = (-5/2,11/2)

2)

in the same way as above, figure the difference between the points and go out 3 times that distance in each direction:

(4,0) + 3((4-3),(0+2)) = (4,0)+(3,6) = (7,6)

(3,-2) + 3((3-4),(-2-0)) = (3,-2)+(-3,-6) = (0,-8)

**Related Questions**

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

Analytic Geometry - What are the equations of the circles tangent to the x-axis...

Analytic Geometry - Please help me to solve this problem. Find the equation of ...

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

Please help on geometry - analytic geometry - What is the area, in square units...

Analytic Geometry - Give the equation of the circle tangent to both axes of ...

Analytic Geometry - Solve each equation using augmented matrices. 2x+y-2z=7 x-2y...

Analytic geometry - What is the distance of the line x+6y-7=0 from the origin? ...

Analytic Geometry - Given that the slope of a line is 91, what is its ...