Answer:
(a) ![P" = (-4,-3)](https://tex.z-dn.net/?f=P%22%20%3D%20%28-4%2C-3%29)
(b) ![(x,y) \to (4,-8)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%20%284%2C-8%29)
Step-by-step explanation:
Given
![P = (4,3)](https://tex.z-dn.net/?f=P%20%3D%20%284%2C3%29)
Solving (a): Reflect across x and y-axis.
Reflection across x-axis has the following rules
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
So, we have:
![P' = (4,-3)](https://tex.z-dn.net/?f=P%27%20%3D%20%284%2C-3%29)
Reflection across y-axis has the following rules
![(x,y) \to (-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-x%2Cy%29)
So, we have:
![P" = (-4,-3)](https://tex.z-dn.net/?f=P%22%20%3D%20%28-4%2C-3%29)
Hence, the new point is: (-4,-3)
Solving (b): Rx . Do,2 (2,4)
reflect across the x-axis
Reflection across x-axis has the following rules
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
So, we have:
---- when P is reflected across the x-axis
dilate by a scale factor of 2
The rule is:
![(x,y) \to 2 * (x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%202%20%2A%20%28x%2Cy%29)
So, we have
![(x,y) \to 2 * (2,-4)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%202%20%2A%20%282%2C-4%29)
Open bracket
![(x,y) \to (4,-8)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%20%284%2C-8%29)
9514 1404 393
Answer:
2.05 hours
Step-by-step explanation:
Using the given equation with the given time, we have ...
55x +35(2.5) = 200
55x = 112.5 . . . . . . . . subtract 87.5
x = 2.05 . . . . . . . . . . divide by 55
The car spends 2.05 hours at 55 mph.
Answer: b.2x
Step-by-step explanation:
why? because 2 can be divided into all of the numbers evenly!
all the numbers have (x)
it wouldn't be (2x^2) ,because one of the numbers have x^3
Answer:
B
Step-by-step explanation:
plz give brainliest i have never got it
Answer:
Step-by-step explanation:
Yes it’s parallel because the lines do not meet