Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
X + 19 + 7x + 9 = 180
8x + 28 = 180
8x = 180 - 28
8x = 152
X = 152 : 8
X = 19
Answer:
(3.8, 6.8)
Step-by-step explanation:
Point B:
Has coordinates (x,y)
AB and BC form a 2:3 ratio.
This means that:
We apply this both for the x-coordinate and for the y-coordinate.
x-coordinate:
x-coordinate of A: 3
x-coordinate of C: 5
x-coordinate of B: x
y-coordinate:
y-coordinate of A: 4
y-coordinate of C: 11
y-coordinate of B: y
Thus the correct answer is:
(3.8, 6.8)
It should take 2.2 hours, since 5.5 / 2.5 = 2.2.
