Step-by-step explanation:
7.2 / (-8.1) / (-3.7) = Positive
A = (-7.2) / (-8.1) / (-3.7) = Negative
B = (-7.2) / (8.1) / (3.7) = Negative
Hence the answer is C, none of the above.
Now, before we continue, I want to stress the importance of what dy/dt and dx/dt actually mean.
When we're dealing with time, space, and movement along a one-directional plane, we're moving with two scalar quantities (using our parametric representation of a particle), namely its x-direction and its y-direction.
Thus, by differentiating x with respect to t, we're literally saying: "well, what is the change of rate of x in relation to time", or "as t moves along the plane, what is the change of rate of x in that time?"
This can be stressed for the y-ordinate, as well.
So, the change of rate of the y-ordinate (dy/dt is 4cm/s). This is how fast the vertical quantity is changing as time changes at that point.
h=-16t^2+148t+30
find the derivative:
h = -32t+148
0 = -32t+148
-32t=-148
t = -148/-32 = 4.625 seconds
h=-16(4.625)^2+148(4.625)+30 = 372.25
height = 372.25 feet, time = 4.63 seconds
1.2 .10/2=120.0( standard form)
because the exponent of the 10s term is positive we must move the decimal point 2 places to the right.
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Perimeter=sum of side lengths...
P=2L+2W
P=2(L+W), in this case L and W are 30 and 40 so
P=2(30+40)
P=2(70)
P=140
So 140 feet of fencing is needed to replace the fence.
The amount of sod needed is equal to the area which is LW
A=30(40)=1200 ft^2