Edge length of the side of a cube = 5 inches
Then
Volume of the cube = (side)^3
= (5)^3
= 125 inches ^3
So the volume of the actual cube is 125 inches^3
Now after the side lengths are triple, then
New edge length of each side = 3 * 5 inches
= 15 inches
Then
New volume of the cube = (New side)^3
= (15)^3
= 3375 inches^3
Then the volume of the new cube is 3375 inches^3
So
The number of times the volume of the new cube is greater = 3375/125
= 27
<span>So the volume of the new cube is 27 times greater than the old cube.</span>
For this case we have that the point-slope form of a line is given by:
![(y-y_ {1}) = m (x-x_ {1})](https://tex.z-dn.net/?f=%28y-y_%20%7B1%7D%29%20%3D%20m%20%28x-x_%20%7B1%7D%29)
Where:
m: is the slope
are the coordinates of a point through which the line passes.
In this case we have to:
![m = - \frac {1} {8}\\(x_ {1}, y_ {1}) = (-2, 1)](https://tex.z-dn.net/?f=m%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B8%7D%5C%5C%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3D%20%28-2%2C%201%29)
Substituting we have:
![(y-1) = - \frac {1} {8} (x - (- 2))](https://tex.z-dn.net/?f=%28y-1%29%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B8%7D%20%28x%20-%20%28-%202%29%29)
Simplifying: ![- * - = +](https://tex.z-dn.net/?f=-%20%2A%20-%20%3D%20%2B)
![(y-1) = - \frac {1} {8} (x + 2)](https://tex.z-dn.net/?f=%28y-1%29%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B8%7D%20%28x%20%2B%202%29)
Thus, the point-slope equation form of the line is:![(y-1) = - \frac {1} {8} (x + 2)](https://tex.z-dn.net/?f=%28y-1%29%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B8%7D%20%28x%20%2B%202%29)
Answer:
![(y-1) = - \frac {1} {8} (x + 2)](https://tex.z-dn.net/?f=%28y-1%29%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B8%7D%20%28x%20%2B%202%29)
Answer:
me plase me me please meeee
Answer: 7 cm
The length looks around the same size as the base.
the answer is AB = BC
i just took the test and got it right :))