H=-16t^2+192t+0. It will have a maximum because the negative in front of the 16 indicates that the parabola will face downwards
Find the length of the line from A to C, which would be the radius using the distance formula:
Distance = √(-5 +1)^2 + 1+2)^2)
Distance = √(4^2 + 3^2)
Distance = √25
Distance = 5
The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2, where h and k is the center point X and y values and r is the radius.
The center of the circle is located at A ( -1,-2) and the radius is 5.
Replace h, k and r with those values:
(x - (-1))^2 + (y- (-2))^2 = 5^2
Simplify to get:
(x+1)^2 + (y+2)^2 = 25
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
width (w) = w
Length (L) = 3w + 4
Area (A) = L x w
25 = (3w + 4)w
25 = 3w² + 4w
0 = 3w² + 4w - 25
w =
w ≈ 2.3, w ≈ -3.6 (width cannot be negative!)
w ≈ 2.3
Length (L) = 3w + 4 = 3(2.3) + 4 = 6.9 + 4 = 10.9
Answer: width=2.3, Length=10.9