H(t) = -16(t^2) + 64t
roots:
0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4
The symmetry axis is at the middle of the two roots: t = (0+4)/2
That time (t=2) is what it takes the object to reach the maximum height.
Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
Answer:
24 spaniels
Step-by-step explanation:
4 many spaniels as retriever means that if you put the dogs in the correct order, every 5 animals you will have one retriever and 4 spaniels, then one retriever and four more spaniels. That is, there are groups of 5 dogs with that ratio. If there are 30 dogs, you can make 6 of these groups. It means that you have 24 spaniels and 6 retrievers.
Answer:
Equation for the perimeter of prism's square face: 16x + 12
Step-by-step explanation:
Volume of Square prism = Length * Width * Height
= 144 x^3 + 216 x^2 +81 x
taking 9x common = 9x( 16 x^2 + 24 x + 9)
= 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )
= 9x ( 4x+3)^2
so the length is 9x, width is 4x+3 and height is 4x+3
Now, Perimeter of prism's square face = 2* Width + 2 * Height
= 2* (4x+3) + 2* (4x+3)
= 8x +6 + 8x + 6
= 16x +12
For this case we have the following quadratic equation:
Rewriting the equation we have:
From here, we have:
Substituting values in the quadratic equation we have:
Rewriting the equation we have:
Answer:
The values of x are given by:
