Well when she hits the water h=0 so
2t^2-t-6=0 factor
2t^2-4t+3t-6=0
2t(t-2)+3(t-2)=0
(2t+3)(t-2)=0, since t>0
t=2 seconds...
However it should be noted that h(t)=-2t^2+t+6 implies that
v(t)=dh/dt=-4t+1 and
a(t)=dv/dt=-4
Since this is a free fall equation, this would suggest that the acceleration due to gravity is -4, whether that is supposed to be -4ft/s^2 or -4m/s^2, it certainly is not on this planet! :D If it is -4ft/s^2 it could be on the Moon or if it is -4m/s^2 it could be on Mars.
Answer:
The perimeter of a square with an area of 900 square feet is 120 ft.
Step-by-step explanation:
Calculation of the perimeter of the square:
Since the area is 900 square feet
We know that
The area of square =
So, length of one side should be 30
Now the perimeter should be
= 4(30)
= 120 ft.
Hence, The perimeter of a square with an area of 900 square feet is 120 ft.
Answer:
See below
Step-by-step explanation:
You cannot find two whole number integers that give a sum of -12 and a product of 6.
-1 + -11 = -12, but (-1)(-11) = 11, which isn't 6
-2 + -10 = -12, but (-2)(-10) = 20, which isn't 6
...and so on...
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
Therefore, our system now becomes:
Now, we can add these two equations together and solve for y.
Now, we can substitute our value for y into one of the equations and solve for x.
Therefore, our final solution is (-4, 4).
Answer: -3 4/15
Explanation: Combine multiplied terms into a single fraction
Subtract 3 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
End Up With -52/15
Turn into a equivalent fraction
End Up With -3 4/15
