Answer:
V = 64 r^(9) * s^(6)
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = ( 4r^3s^2) ^3
We know that ( ab) ^c = a^c * b^c
V = 4^3 * r^3^3 * s^2^3
V = 64 * r^3^3 * s^2^3
We know that a^b^c = a^(b*c)
V = 64 r^(3*3) * s^(2*3)
V = 64 r^(9) * s^(6)
For it to be a solution, it has to satisfy both inequalities...
subbing in (-4,-1)
2x + y < -5 -x + y > 0
2(-4) - 1 < - 5 -(-4) - 1 > 0
-8 - 1 < -5 4 - 1 > 0
-9 < -5.....true 3 > 0....true
solution is (-4,-1)
<u>Answer:</u>
(0.5, -0.5)
<u>Step-by-step explanation:</u>
We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.
We know the formula for the mid point:

Substituting the coordinates of the given points in the above formula:
Mid point =
= (0.5, -0.5)