Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.
y<x+1 can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)
x-4y <=4
again, ignore the constants and simplify to
x-y<0 or
y>x so the valid part is ABOVE the line (since y>)
There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.
For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.
As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.
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
That would be about eight ounces of yellow paint
<em><u>Question:</u></em>
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
<em><u>Answer:</u></em>
The actual length of Hector room is 14 foot
<em><u>Solution:</u></em>
Given that, On the floor plan, his bedroom is 3 inches wide and
inches long
<em><u>The scale of floor plan is given as:</u></em>

Therefore,

To find: Actual length of floor
From given question,

Converting the mixed fraction to improper fraction,

Since, 1 inch = 4 foot

Thus actual length of Hector room is 14 foot
In fact, both Amanda's and Stephen's profs are correct; they are just using different supplementary angles. Amanda's is using the supplementary angles <span>∠1 and ∠4, and</span> ∠3 and ∠4, whereas Stephen is using ∠1 and ∠2, and <span>∠2 and ∠3.</span><span> </span>Please check the picture to visualize this more effectively.