Simplify (-7a-19c)-(-12a+30c)-(-21a-11c)
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:
<span>If
an asset declines in value from $5000 to $3500 over nine years, then
the mean annual growth rate in the asset's value over these nine years to two decimal places is given by:
</span>