Since it’s not x3 it must be +8 so if i were you i’d pick B
Answer:
The foot of the ladder is
10
feet away from the base of the wall.
Step-by-step explanation:
We are trying to find the average speed of the plane, which is mph, or
. Using proportions, we can find the average speed of the plane in mph:
![\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}](https://tex.z-dn.net/?f=%5Cdfrac%7B525%20%5C%2C%5C%2C%20%5Ctextrm%7Bmiles%7D%7D%7B1.75%20%5C%2C%5C%2C%5Ctextrm%7Bhours%7D%7D%20%3D%20%5Cdfrac%7Bx%20%5C%2C%5C%2C%20%5Ctextrm%7Bmiles%7D%7D%7B1%20%5C%2C%5C%2C%5Ctextrm%7Bhour%7D%7D)
- Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that
.
![\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}](https://tex.z-dn.net/?f=%5Cdfrac%7B525%7D%7B1.75%7D%20%5C%2C%5Ctextrm%7Bmiles%7D%20%3D%20x%20%5C%2C%5Ctextrm%7Bmiles%7D)
- Multiply the entire equation by
![1 \,\textrm{hour}](https://tex.z-dn.net/?f=1%20%5C%2C%5Ctextrm%7Bhour%7D)
![\dfrac{525}{1.75} = 300 = x](https://tex.z-dn.net/?f=%5Cdfrac%7B525%7D%7B1.75%7D%20%3D%20300%20%3D%20x)
- Divide both sides of the equation by
to clear both sides of the mile unit
The average speed of the plane is 300 mph.
The function is
![h(t) = -16t^2 + 80t + 224](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%2080t%20%2B%20224)
, and according to the description of the function in the problem statement, we have the following:
at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:
![h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224](https://tex.z-dn.net/?f=h%280%29%20%3D%20-16%280%29%5E2%20%2B%2080%280%29%20%2B%20224%3D0%2B0%2B224%3D224)
(ft), which is the initial height, as expected.
At t=1 (sec), the height would be
![h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288](https://tex.z-dn.net/?f=h%281%29%20%3D%20-16%281%29%5E2%20%2B%2080%281%29%20%2B%20224%3D-16%2B80%2B224%3D288)
.
etc.
The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.
This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.
Answer: B) 7 sec
Answer:
6/10
Step-by-step explanation:
2 groups of 3/10 =
2 × 3/10 =
6/10