The circle shown below is centered at (0, 0) and passes through point P located at (2, 0). The circle is dilated with the center
of dilation at the origin and a scale factor of 0.5 and then translated up 3 units. What are the coordinates of the image of point P after this transformation?
A (4, 3)
B (1, 3)
C (1, 1.5)
D (0.5, 3)
A (4, 3)
B (1, 3)
C (1, 1.5)
D (0.5, 3)
2 answers:
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Answer:
8 + i
Step-by-step explanation:
What you need to simplify this is the following "definitions" of i to different powers.
Now we can sub these in for the various powers of i in our expression:
Simplifying a bit:
Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:
6 - 6i + 2 + 7i
And the final answer, in a + bi form, is
8 + i