Answer:
Area = 200x - x², Max area is 10000m² with dimensions 100m × 100m
Step-by-step explanation:
Total fencing = perimeter
Let length of the sides be x and y,
2(x + y) = 400
x + y = 200
y = 200 - x
Area = x × y
= x(200 - x)
Area = 200x - x²
For max area, convert area into the completed square form
-(x² - 200x)
-(x² -2(x)(100) + 100² - 100²)
-[(x - 100)² - 10000]
-(x - 100)² + 10000
Max area is 10000 m²
Because the least value of (x - 100)² is 0.
That too when x = 100
When x = 100,
y = 200 - x = 200 - 100 = 100
Dimensions are 100m × 100m
You find this value by factoring. Factoring finds the zeros of the function. When the ball hits the ground, it has 0 height. Therefore, when the function goes through the x axis, it has a y value of 0. That means that when y = 0, the ball has hit the ground. Use the quadratic formula to factor

. Notice I rearranged the terms. When you factor that you get zeros of -3.19 and 2.19. The two things in math that will never EVER be negative are time and distance/length. Therefore, that tells us that the ball hits the ground 2.19 seconds after it was thrown.
You have 12 girls out of 32, so that's 20 boys. Take your amount of boys divided by your total number. So, 20/32 = .625
You want a percentage, so .625 x 100 = 62.5% boys
Answer: -0.5
<u>Step-by-step explanation:</u>
the x-value for A is 0.
the x-value for B is -2.
The total distance from A to B is -2.
= -0.5
A + -0.5
= 0 - 0.5
= -0.5
Answer:
the answer is (8,5)
Step-by-step explanation:
idk how to expalin it lol so i hope its correct