Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes ![\frac{2\pi}{a}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7Ba%7D)
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :
![\frac{2\pi}{2}=\pi](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7B2%7D%3D%5Cpi)
Third answer choice is right.
Answer:
.
Step-by-step explanation:
It is given that Point A is at (-5, -4) and point B at (-3, 3).
We need to find the coordinates of the point which is 3/4 of the way from A to B.
Let the required point be P.
![AP:AB=3:4](https://tex.z-dn.net/?f=AP%3AAB%3D3%3A4)
![AP:PB=AP:(AB-AP)=3:(4-1)=3:1](https://tex.z-dn.net/?f=AP%3APB%3DAP%3A%28AB-AP%29%3D3%3A%284-1%29%3D3%3A1)
It means, point P divides segment AB in 3:1.
Section formula: If a point divides a line segment in m:n, then
![\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cright%29)
Using section formula, we get
![P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)](https://tex.z-dn.net/?f=P%3D%5Cleft%28%5Cdfrac%7B3%28-3%29%2B1%28-5%29%7D%7B3%2B1%7D%2C%5Cdfrac%7B3%283%29%2B1%28-4%29%7D%7B3%2B1%7D%5Cright%29)
![P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)](https://tex.z-dn.net/?f=P%3D%5Cleft%28%5Cdfrac%7B-9-5%7D%7B4%7D%2C%5Cdfrac%7B9-4%7D%7B4%7D%5Cright%29)
![P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)](https://tex.z-dn.net/?f=P%3D%5Cleft%28%5Cdfrac%7B-14%7D%7B4%7D%2C%5Cdfrac%7B5%7D%7B4%7D%5Cright%29)
![P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)](https://tex.z-dn.net/?f=P%3D%5Cleft%28%5Cdfrac%7B-7%7D%7B2%7D%2C%5Cdfrac%7B5%7D%7B4%7D%5Cright%29)
Therefore, the required point is
.
40 / 8 =5. 5 * % = **25 Miles**
I believe the answers are 1. C 2. B 3. D 4. C 5. A
Answer:
Step-by-step explanation:
Substituting x and y values into the equations, we can get the equation
y = 7 -3x
slope: -3