What value of y makes the equation true. y+2.9=11

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

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Use the figure below to answer the questions.

Pavlova-9 [17]

The transformation is a reflection in the line $y=x$ followed by a reflection in the line $x=1$ .

The mapping for a reflection in the line $y=x$ is $(x,y) \rightarrow (y,x)$ .

That is simply swapping the coordinates.

$A(-3,4) \rightarrow (4,-3)$

$B(-3,0) \rightarrow (0,3)$

$C(-1,3) \rightarrow (3,-1)$

Now we reflect the resulting coordinates in the line $x=1$ which has the mapping $(x,y) \rightarrow (2(1)-x,y)$

So we transform the resulting coordinates as follows:

$(4,-3) \rightarrow A'(2(1)-4,-3)$

$(0,-3) \rightarrow B'(2(1)-0,-3)$

$(3,-1) \rightarrow C'(2(1)-3,-1)$

Hence we have

$A'(-2,-3),B'(2,-3) \: and\: C'(-1,-1)$