Answer:
Hope this is correct
Step-by-step explanation:
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The midpoint of the segment is (-15/2, -15/2)
<h3>How to determine the midpoint?</h3>
The complete question is in the attached image
The points are given as:
(-8, -7) and (-7, -8)
The midpoint is calculated as:
(x,y) = 1/2 * (x1 + x2, y1 + y2)
So, we have:
(x,y) = 1/2 * (-8 - 7, -7 - 8)
Evaluate the difference
(x,y) = 1/2 * (-15, -15)
Evaluate the product
(x,y) = (-15/2, -15/2)
Hence, the midpoint of the segment is (-15/2, -15/2)
Read more about midpoints at:
brainly.com/question/4747771
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Answer:
The correct answer is 63 cubic inches.
Step-by-step explanation:
Dali rolled up his painting and placed it in a cylinder 2 inches diameter.
Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.
Radius of the cylinder is 1 inch.
Length of the cylinder is 20 inches.
Volume of the cylinder is given by π ×
× h = π ×
× 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.
Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.
Answers:
2x - 6y = 8 -> x = 4 + 3y
-3x + 9y = 12 -> x = -4 + 3y
Answer:
m
Step-by-step explanation:
Let
Bas length of box=b
Height of box=h
Material used in constructing of box=36 square m
We have to find the height h and base length b of the box to maximize the volume of box.
Surface area of box=




Volume of box, V=
Substitute the values


Differentiate w. r.t b







The negative value of b is not possible because length cannot be negative.
Again differentiate w.r.t b

At

Hence, the volume of box is maximum at
.




m