Answer:
See the explanation.
Step-by-step explanation:
Cora is making a rectangular prism. She plans to have 8 inches if height. What will be the volume of the rectangular figure?
As the figure formed is a rectangular prism. we need to find the volume of rectangular prism. Volume of prism will be:
Volume = Length · Width · Height
As she wants to have 8 inches of height, substitute it in the given equation:
Volume = 8(Length · Heights) inch³
Put them in order from lowest to highest. Identify the lowest number in the data set, as well as the highest number. Subtract the lowest number in the set from the highest number. The resulting value is the range of the set of temperature values.
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.
By rewriting the given line, we can see that the slope is equal to -1/2 or -0.5
<h3>
How to get the slope of the given line?</h3>
Remember that a line is:
y = a*x + b
Where a is the slope and b is the y-intercept of the line, which is the point where the line intersects the y-axis.
Then, we can rewrite our equation:
x + 2y = 16
to:
2y = 16 - x
y = (16 - x)/2
y = (-1/2)*x + 8
Comparing with the general line equation, we can see that the slope is -1/2.
If you want to learn more about linaer equations:
brainly.com/question/1884491
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