<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>
<h2>
Explanation:</h2>
In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:
When folding up, we get the box without lip shown in the second figure. So the volume would be:
Since te cardboard is square, then the side (s) is given by:
Therefore:
<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>
<h2>Learn more:</h2>
Volume of a box: brainly.com/question/10501080
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Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
Answer:
Step-by-step explanation:
Answer: 4x+20
Step-by-step explanation:
Take the number outside the parentheses, and multiply it by each number inside it, one at a time.
then you simply just combine them.
Answer: Choice D
(a-e)/f
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Explanation:
Points D and B are at locations (e,f) and (a,0) respectively.
Find the slope of line DB to get
m = (y2-y1)/(x2-x1)
m = (0-f)/(a-e)
m = -f/(a-e)
This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.
Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.
