Answer:
x( x + 8) = 256
Step-by-step explanation:
let one side be x
if x is 8 yards longer than the other side, then the other side is x + 8
so, x( x + 8) = 256 equations model the possible dimensions of the playground
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Answer:
a) v(t) = 14-2t.
b) The particle is moving in a positive direction in the interval [0,7) and it's moving a negative direction in the interval
c) the particles changes direction at t=7.
Step-by-step explanation:
Recall that . We will assume that whenever its velocity is positive, it is moving in a positive direction and that whenever the velocity is negative, it is moving in a negative direction. We know that the particle changes direction when the velocity passes from positive to negative or viceversa, as t goes by.
To calculate the velocity (t), we will derivate s(t) with respect to t. Recall that given a functio of the form its derivative is . Thus, using the properties of derivatives we get that
.
We can see that 14-2t>0 if 14>2t which is equivalent that 7>t. So the particle moves in a positive direction whenever . On the same way, 14-2t<0 when t>7 ( and it changes direction at t=7 since it passes from positive to negative.
Answer is 120 in^3
Reason
Cone volume is 1/3 BH
(or 1/3 volume of a cylinder)
1/3 x 36 x 10
Answer = 120
Let w = liters of water needed
4.70= acid in 40% solution
4.70/70+w = .28
28=.28.(70+w)
70+w=100
w=30
30 liters of water is needed
The addition of +7 influences the y values of the graph. Since it is positive, the graph of y=IxI would be moved 7 units upwards.
Hope I helped :)