The equation here can be described to be a circle.
We have the following equations
x = 5cos(t) - 7, and
y = 5sin(t) + 9
When rearranged we have
x + 7 = 5cos(t),
y - 9 = 5sin(t)
Square both equations
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Sum the equations
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
The equation above is that of a circle. The radius is 5 units. The center is (-7,9)
The formula for the equation of a circle is
(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²
The equation can be described as a circle.
Read more on the equation of a circle here: https://brainly.com/question/21523002
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