Answer:
8 in
Step-by-step explanation:
since the box is the same length in all sides, it is a cube.
length, width and height are all the same.
the volume is 512 in³.
and the volume of a cube is length×width×height = side length³.
512 = length³
length = 8 = width = height
Use similar triangles (see the picture I drew at the bottom)
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points 
, then the equation of line is
The line passes through (-3,-6) and (2,-2). So, the equation of line is
Subtract 6 from both sides.
Therefore, the equation of line is .
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer: 6x^2-84x+294
Step-by-step explanation:
Use the foil method to solve (x-7)^2 and then multiply your result by 6.
