What is the range of the function?(1,2) (2,4) (3,9) (4,16)
2 answers:
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A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
or
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at:
<u>ANSWER: </u>
The slope of the given equation is -2 and a point on the given line is (-1, 3)
<u>SOLUTION:</u>
Given, linear equation in two variables is y – 3 = -2(x + 1) ----- eqn (1)
We need to find the slope of the given equation and a point through which the given line passes.
Given equation is in the form of point slope form .i.e --- eqn 2
where,"m" is the slope of the line
is point on that line.
Now, by comparing (1) and (2)
m = -2
so, the slope of the given equation is -2 and a point on the given line is (-1, 3)