Answer:
Step-by-step explanation:
Given
Required
Determine the profit function
This is calculated as follows:
Substitute values for R(x) and C(x)
Open bracket
Collect like terms
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1 answer:
Answer:
see explanation
Step-by-step explanation:
32 - 7x = 2x - 3(4x - 5) ← distribute parenthesis
32 - 7x = 2x - 12x + 15
32 - 7x = - 10x + 15 ( add 7x to both sides )
Anna made her error here in that she subtracted 7x from both sides
32 = - 3x + 15 ( subtract 15 from both sides )
17 = - 3x ( divide both sides by - 3 )
- = x ← is the solution
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Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:
Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:
The perimeter is given by:
I hope it helps you!