Answer:
150 seconds
Step-by-step explanation:
use the velocity equation of

Where V is in feet per second, Delta D represents the change in displacement and delta t represents the change in time
all you need to do is rearrange the equation to find Delta(T)
as such...

Answer:
1. 1/3, 4
2. 3/5, -2
3. 4, 1
4. -3/2, 3
5. 1, 4
Step-by-step explanation:
- The slope is x and to find it do (rise over run) for example 5/3, but since it is done for you that is not needed. That was just a reference.
- The y-intercept is where the number hits the y-axis when at 0.
So let's say
x=number of five dollare bills
y=number of 1 dolar bills
20 bills total
x+y=20
totla is 72 monies
72=5 times x+1 times y=5x+1y=5x+y
solve
x+y=20
5x+y=72
from here you could do 2 things: go to option 1 (longer) or option 2 (shorter)
1.
x+y=20
subtract x from both sides
y=20-x
5x+y=72
subtract 5x from boths ides
y=72-5x
subsitute
y=20-x=y=72-5x
20-x=72-5x
add 5x to both sides
20+4x=72
subtract 20 from both sides
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
2.
another way is when you got 5x+y=72 and x+y=20
you negative the second equaiton and add to th efirst
I know it sounds like voodo at first but it works
-(x+y=20)=-x-y=-20
add
5x+y=72
<u>-x-y=-20 +</u>
4x+0y=52
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
Answer:
18 π cm^2.
Step-by-step explanation:
The area of the whole circle = π r^2 = 81π cm^2.
Since there are 360 degrees in a circle the area of the shaded region =
80/360 * area of the circle.
This = 80/360 * 81 π
= 2/9 * 81 π
= 18 π
The axis of symmetry is X=-2
The vertex is (-2,4)
The maximum is 4
There is no minimum as the maximum is also the vertex of the parabola.
The zeros are (-4,0) and (0,0) or just 0 and -4
The domain is all real numbers from negative infinity to positive infinity
The range contains all real numbers less than or equal to 4 :)