An item is regularly priced at $97. Lucy bought it at a discount of 55% off the regular price.
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Answer:
The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.
Step-by-step explanation:
We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane
In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.
The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.
This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).
The distance between two points is found using something called the distance formula. The distance formula goes like this:
(x₂ - x₁) and the y equivalent is the same as the change between the x or y values between each coordinate. Using this formula, the distance between (5,-8) and (53,-28) is ~43.635