Show your work please!!!!!
1 answer:
Answer:
67.5π m²
Step-by-step explanation:
See the diagram given with the question.
The angle moved by the radius line about the center to cover the shaded region is 300°.
As the radius(r) is known to be 9 m.
So, the area of the full circle is πr² = π × (9)² = 81π m².
Now, to cover the whole circle the radius line has to rotate 360° about the center.
Hence, for rotation of 360° the area obtained is 81π m².
Then for rotation of 300° the area obtained will be m². (Answer)
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Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= -
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= -
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)