x = 8.66 ft
Step-by-step explanation:
cos 30 = adj/hyp = x/10
---> x = (10 ft)cos30
= 8.66 ft
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:
It is the last one or E
Step-by-step explanation:
over 5 down 4 to get the midpoint
then another over 5 down 4 for the endpoint
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
-9 is a rattional number because it is an integer and it can be squared.
