Answer:
The right answer is B. ellipse
Step-by-step explanation:
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The parameters indicate a circle with a radius of 5 units and a center of (-7,9), using the equation (x + 7)² + (y - 9)² = 5². Option A is correct.
It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Using the parameters to calculate the figure:
The following are the equations:
[tex]\rm x = 5cos(t) - 7\\y = 5sin(t) + 9[/tex]
Rearranging the following equations yields:
[tex]\rm 5cos(t) = (x + 7) \\(y - 9) = 5sin (t)[/tex]
When we square both equations, we get:
[tex]\rm 25cos^2(t) = (x + 7)^2 \\\\ (y - 9)^2= 25sin^2 (t)[/tex]
When we combine the equations together, we get:
[tex](x + 7)^2 + (y - 9)^2 = 25cos^2(t) + 25sin^2 (t)\\(x + 7)^2 + (y - 9)^2 = 25\\(x + 7)^2+ (y - 9)^2= 5^2[/tex]
This is a circle equation with a radius of 5 units and a center of (-7,9) units.
Hence, option A is correct.
To learn more about the circle refer;
https://brainly.com/question/11833983
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