Which scale factors produce an expansion under a dilation of the original image?
2 answers:
Answer: The correct options are (A) 8 and (D) 7.
Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.
The SCALE FACTOR of a dilation is defined as follows:
The dilation will be an expansion is the scale factor is greater than 1 (> 1),
and it will be a reduction if the scale factor is less than 1 (< 1).
Option (A) is
Scale factor = 8.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Option (B) is
Scale factor = 0.7.
Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (C) is
Scale factor = 0.8.
Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (D) is
Scale factor = 7.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Thus, the correct options are (A) 8 and (D) 7.
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Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
=
where a₁ is the first term and r the common ratio
Here = 1530 and r = 2, thus
= 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Both the numerator and denominator are continuous at
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