you can see that the height is the same at 0.5sec and 1.5 sec (12ft)
so therefore the height is symmetric about the line t=(midpoint of 0.5 and 1.5)
(0.5+1.5)/2=2/2=1
so the height is symmetric about the line t=1
the ball lands on the ground when height=0
since it is symmetric about t=1, and at t=0, the height is 0
1-0=1, so the difference between symmetry and desired height is 1
we must go in the oposite direction to find the next 0 height
so from symmetry to 0 height is 1+1=2, so at t=2 seconds
Answer:
x = 4.5
x = 4.1
Step-by-step explanation:
Ducks have 1 head. Dogs have 1 head.
Ducks have 2 feet. Dogs have 4 feet.
If x = no. of ducks and g = no. of dogs
x + g = 25
2x + 4g = 80
Let's use substitution to solve.
x + g = 25 ⇒ x = 25 - g
replace x with 25 - g in the other equation and solve for g
2x + 4g = 80
2(25 - g) + 4g = 80
50 - 2g + 4g = 80
50 + 2g = 80
2g = 30
g = 15
Now use g = 15 in an earlier equation to find x.
x + g = 25
x + 15 = 25
x = 10
Answer:
the numbers are 10.6 and 10.2
Answer:
A proportional relationship is there.
Step-by-step explanation:
Here in the table, the values of y are given corresponding to the values of x.
There are four sets of values of x and y.
We have to check whether the relationship is proportional or not.
Now, rate of change of y with respect to x will be from the first two pair of values is =
Again, rate of change of y with respect to x will be from the second two pair of values is =
And, rate of change of y with respect to x will be from the third two pair of values is =
So, the rate is always 0.75.
Therefore, a proportional relationship is there. (Answer)