Answer:
The coordinates of P' are (4.8,-4.8).
Step-by-step explanation:
The rule of dilation
represent the dilation with scale factor 2.4 and center at origin.
If the scale factor of the dilation is k and the center is (0,0), then
![(x,y)\rightarrow (kx,ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28kx%2Cky%29)
Since the scale factor is 2.4, therefore
![(x,y)\rightarrow (2.4x,2.4y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%282.4x%2C2.4y%29)
From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are
![P(2,-2)\rightarrow P'(2.4(2),2.4(-2))](https://tex.z-dn.net/?f=P%282%2C-2%29%5Crightarrow%20P%27%282.4%282%29%2C2.4%28-2%29%29)
![P(2,-2)\rightarrow P'(4.8,-4.8)](https://tex.z-dn.net/?f=P%282%2C-2%29%5Crightarrow%20P%27%284.8%2C-4.8%29)
Therefore the coordinates of P' are (4.8,-4.8).
To rotate a figure
90 degrees(-y,x)
180 degrees(-x,-y)
270 degrees(y,-x)
If your original point is (1,2) or example and you want to rotate it say 270 degrees the final point would be (2,-1)
Hope this helped!!!!!
It travels 140 miles per 1 hour
Answer:
A) it converges
B) 1998.047
C) 2000
d) The sum is getting smaller and smaller
Step-by-step explanation:
Formula: a_n+a_1*r^(r-1)
(1000*((0.5^10)-1))/(0.5-1)=1998.047
(1000*((0.5^30)-1))/(0.5-1)=2000