Find the equation of a circle whose center is at (4,-5) and radius 9

Mathematics

1 answer:

Lina20 [59]3 years ago

4 0

Answer:

(x - 4)² + (y + 5)² = 81

Step-by-step explanation:

(x - 4)² + (y - -5)² = 9²

(x - 4)² + (y + 5)² = 81

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,