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MAVERICK [17]
3 years ago
15

Find the distance between the points below. 4 + 3i and 9 – 9i

Mathematics
1 answer:
stich3 [128]3 years ago
7 0

Answer:

13 units.

Step-by-step explanation:

The complex numbers can be thought of as points on the xy plane, where their real part (denoted Re(z)), and their imaginary part (Im(z)) serve as the coordinates for these numbers, and since we know how to calculate distances between points we can calculate the distance between these numbers:

Formula: d(z_1, z_2) = \sqrt{(\Re(z_2) - \Re(z_1))^2 + (\Im(z_2) - \Im(z_1))^2}{} =>\\d(4+3i, 9 - 9i) = \sqrt{(9-4)^2 + (-9-3)^2} = \sqrt{5^2 + 12^2} = \sqrt{169} = \sqrt{13^2} = 13

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<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

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Vertex

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V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

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To learn more on ellipses: brainly.com/question/14281133

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