h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So
divide whole equation by -16
we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
Step-by-step explanation:
Given that,
BC = 8
Ac = 15
We can find AB using the pythagoas theorem.
We know that,
, B is base and H is Hypotenuse
Hence, this is the required solution.
Answer:
The length of a rectangular garden is: 13 feet
Step-by-step explanation:
You have 2 lengths that are 2x-3 feet, and 2 widths that are x.
2x-3 + 2x-3 +x +x =42 feet
4x -6 +2x -42 feet
6x -6 = 42 feet
6x = 48 feet
x = 8 feet (so, 2x-3 = 16-3 = 13 feet)
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Answer:
points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.
Step-by-step explanation:
The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.
Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...
-1.75, 2.50, -3.25, -3.50, 4.75
Answer:
(8,-3)
Step-by-step explanation:
The given parabola is
We factor -3 from the first two terms to get:
Add and subtract the square of half the coefficient of x
We simplify to get:
We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)