Answer:
Part 1) The perimeter is
Part 2) The area is
Step-by-step explanation:
Part 1) Find the perimeter
we know that
The perimeter is equal to the circumference of the exterior circle plus the circumference of the interior circle
so
Part 2) Find the area
we know that
The area of the figure is equal to the area of the larger circle minus the area of the smaller circle
so
The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².
<h3>How to illustrate the graph?</h3>The vertex of this parabola is (-1, 8). It opens downward, so the x² term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².
Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)² or a = -2
The desired equation is y - 8 = -2(x + 1)^2
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