What is the equation of a circle with a center of (-2, -1) and radius of √2?
2 answers:
Answer:
(x + 2)² + (y + 1)² = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Here (h, k) = (- 2, - 1) and r = , thus
(x - (- 2))² + (y - (- 1))² = ( )², that is
(x + 2)² + (y + 1)² = 2 ← equation of circle
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9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
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7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
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8. In light of the above, the shape is a square.
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The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
Answer:
Step-by-step explanation:
The domain is the span of x-values covered by the graph.
From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.
Therefore, the domain is all x-values less than or equal to 0:
Further notes:
In interval notation, this is: