<h3>
Answer: D. y = -x</h3>
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Explanation:
Point T is at (-2,1)
When we reflect it over the line x = 0, aka the y axis, we use the rule
so T(-2,1) becomes T ' (2, 1). The x coordinate flipped in sign, while the y coordinate stays the same.
Then the final transformation is reflecting over y = -x using the rule
. Therefore, the point (2,1) moves to (-1, -2) which is where T'' is located in the diagram.
You apply the same two transformations for the points R and S to get R'' and S'' respectively.
Note: A composition of two reflections, where the lines of reflection aren't parallel, form a rotation. In this case, we have a 90 degree counterclockwise rotation when going from triangle RST to triangle R''S''T''.
Answer:
this is a required equation.
Answer: Choice A
2(2L + L) = 42
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Explanation:
The length is L, which is some placeholder for a positive number.
The width is twice as much as this, so it's 2L
The perimeter is found by adding up the four sides (two of which are L, the other two are 2L)
So we have L+L+2L+2L = 2(2L+L) representing the perimeter.
Or we could use this formula
P = 2(L+W)
where L and W are the length and width respectively.
Either way, we end up with 2(2L + L) = 42
The graph shows the maximum residual is ...
◉ Data point (10, 10); Residual = 4.50_____
Apparently, this question makes no use of the line of best fit.
Answer:
d. 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
45a−25+7a=79
45a+−25+7a=79
(45a+7a)+(−25)=79(Combine Like Terms)
52a+−25=79
52a−25=79
Step 2: Add 25 to both sides.
52a−25+25=79+25
52a=104
Step 3: Divide both sides by 52.
52a
52
=
104
52
a=2