Answer:
The area is 252
Step-by-step explanation:
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
Y intercept is (0,-12), the x-intercept is (4,0)
The correct answer is C.
Perpendicular lines have opposite reciprocal slopes. This mean you will flip the original number upside down, and change its sign (negative to positive and vice versa). So, the opposite of -1/4 will be 4.
Sphere is ur answer to ur question
