X = -3.
The distance from p(-9, 0, 0) is
d = sqrt((x+9)^2 + y^2 + z^2)
The distance from q(3,0,0) is
d = sqrt((x-3)^2 + y^2 + z^2)
Let's set them equal to each other.
sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
Square both sides, then simplify
(x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
18x + 81 = - 6x + 9
24x + 81 = 9
24x = -72
x = -3
So the desired equation is x = -3 which defines a plane.
A typical towel is the shape of a rectangle.
Rectangles have 2 opposite pairs of congruent (equal) sides.
To find perimeter, find the sums of all the sides.
The measures of the towel's sides are:
2 feet
2 feet
3/4 foot
3/4 foot
Add these together to find the perimeter.
2 + 2 + 0.75 + 0.75 = 5.5
The perimeter of the towel is 5.5 feet.
Hope this helps!
:)
