Not sure why such an old question is showing up on my feed...
Anyway, let

and

. Then we want to find the exact value of

.
Use the angle difference identity:

and right away we find

. By the Pythagorean theorem, we also find

. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if

, then (by Pythagorean theorem)

, so

. And from this,

.
So,
For this case we have the following equation:
H (t) = - 16t ^ 2 + 28t
When the dolphin finishes a jump, then the height is equal to zero.
We have then:
-16t ^ 2 + 28t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 1.75 s
Therefore, the dolphin takes 1.75 seconds to make a jump.
Answer:
it will take for the dolphin to make one jump about:
t = 1.75 s
Answer:
-4x + 3y + z + 2
Step-by-step explanation:
I think it’s A I hope it helps
Answer:
D. last option
Step-by-step explanation:
distribute the exponents outside of parentheses to terms in side to get
x^10 y^20 z^5 on top
and x^2 y^2
then you can subtract the exponents of like terms from numerator and denominator to get
x^8 y^18 z^5