Surface area = 2 pi (3x-2)^2 + 2 pi (3x -2) ( x + 3)
= 2 pi (9x^2 - 12x + 4 + 3x^2 + 7x - 6
= 2pi(12x^2 - 5x - 2)
Its D
Features of a Parabola
The equation of a parabola can be written as:
Part (a)
The picture alone, without the frame, is 16 by 20
When accounting for the frame, the larger rectangle is 16+2x by 20+2x
We add up all four sides to get the perimeter
(16+2x)+(20+2x)+(16+2x)+(20+2x)
8x+72
or you can use this perimeter of a rectangle formula
P = 2(L+W)
P = 2(20+2x+16+2x)
P = 2(4x+36)
P = 8x+72
Answer: 8x+72
=========================================
Part (b)
Multiply the length and width to find the area of the rectangle.
area = length*width
A = L*W
A = (20+2x)*(16+2x)
A = 20(16+2x) + 2x(16+2x)
A = 320+40x + 32x + 4x^2
A = 4x^2 + 72x + 320
Answer: 4x^2 + 72x + 320
=========================================
Part (c)
Plug x = 2 into the perimeter equation found in part (a)
P = 8x+72
P = 8*2+72
P = 16+72
P = 88
Now plug x = 2 into the area equation found in part (b)
A = 4x^2 + 72x + 320
A = 4(2)^2 + 72(2) + 320
A = 4(4) + 72(2) + 320
A = 16 + 144 + 320
A = 160+320
A = 480
-------------
Answers:
Perimeter = 88 inches
Area = 480 square inches
Answer:
Step-by-step explanation:
Answer:
All 1-bedroom apartments in her city only
Step-by-step explanation:
Since the sample of 1-bedroom prices was randomly selected from all complexes in her city, the results can safely be generalized to this population.
