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.
Answer:
B=8
Step-by-step explanation:
B/4=B-6/4
4B=16B-96
96=12B
B=8
1/100,000,000 , note that 100,000,000 = 10⁸ , then:
1/100,000,000 = 1/10⁸
Remember that 1/aⁿ = a⁻ⁿ
Hence 1/100,000,000 = 1/10⁸ = 10⁻⁸
Answer:
(-2,-1)
Step-by-step explanation:
Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:
-4 = ([-6+x]/2)
After you solve for x, you should have gotten -2 for x.
Then you do the same for y:
2 = ([5+y]/2)
You should get -1. Your final answer should be (-2, -1)
