Answer:
or
Step-by-step explanation:
Let:
Given
Solving (a): The polynomial for the volume in terms of height
Volume (V) is calculated using:
Expand
Open brackets
Rewrite as:
Solving (b): The dimensions when Volume = 180
Substitute 180 for V in:
Rewrite as:
Factorize:
Express as difference of two squares
This gives:
Since the height can not be negative, then H = 5 or H = 6
Recall that:
When H = 5
When H = 6
Hence, the dimensions of the box are:
or
Answer:
Step-by-step explanation:
First, graph the "equals" line, then shade in the correct area.
There are three steps:
1) Rearrange the equation so "y" is on the left and everything else on the right.
2) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3) Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
hope this helpled :)
X + 2y = -8
Subtract 'x' to both sides:
2y = -x - 8
DIvide 2 to both sides:
y = -1/2x - 4
Slope is -1/2, not 1.
<u>Step by step explanation:</u>
Step 1:
Step 2:
Step 3:
Step 4:
Step 6:
Answer:
5
Step-by-step explanation:
The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.