Answer:
(−4, −8), because the point satisfies both equations
Step-by-step explanation:
Line A
y = x - 4
Line B
y = 3x + 4
If we equate those 2 equations
x - 4 = 3x + 4
2x = -8
x = -4
y = -8
Comment
You can't get to quadrant 4 to quad 2 without 2 steps. The answers tell you that. The question is, did you use a reflection and a y or x translations or 2 reflections or 2 y or 2x translations.
Argument
You can take one point and see if it translate from beginning (purple triangle) to (yellow triangle) end. If two conditions will get you the right answer, then you have to try another point to break the tie.
We'll use Point C.
Choice A: If you reflect C over the y axis, you will go from (-5,1) to (5,1)
If you move C six units down, you will go from (5,1) to (5,-5) which is where C' is.
That is pretty much the answer.
I could confirm it with another point which is the way your should do it.
Try Point A
Choice A: Point A reflects across the y axis going from (-3,4) to (3,4)
Point A translates down by moving from (3,4) to (3,-2) to become A'
Answer reflection and translation in condition A
More Comment
I should do one more for you to show you that it is wrong.
You can try Choice B of the multiple Choice answers.
We will use Point C
If we translate C across the x axis it will go from (-5,1) to (-5,-1)
The we are to translate 1 unit up. We will go from (-5,0) from (-5,-1) That's nowheres near where C' is. Choice B is wrong.
Answer:
Step-by-step explanation:
I'm not sure my way is going to be any quicker or better. Let's take an example.
Suppose you start with 456
Put a decimal at the end of the 6. You get 456.
Shift the decimal to the left one place 45.6
Divide by 2
22.8 (done mentally)
Note: dividing by 2 is easier than dividing by 5. Or multiplying by 5 for that matter.
Check the result.
456 * 5/100 =2280 / 100.
Shift a decimal 2 places to the left.
22.80 which agrees with your result.
5m+2m+2 = 23
7m=21 , So:: m=21:7
m=3
