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nevsk [136]
4 years ago
7

Does the point (–3, 2) lie inside, outside, or on a circle with center (4, 0) and radius 5 units?

Mathematics
1 answer:
anastassius [24]4 years ago
8 0

Answer:

The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

Step-by-step explanation:

The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:

√((x₁ - x₂)² + (y₁ - y₂)²)

So in this case, with the points (-3, 2) and (4, 0), the distance is:

√((-3 - 4)² + (2 - 0)²)

√(49 + 4)

√(53) ≈ 7.28

Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

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Answer:

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This means that the altitude is decreasing by 400 ft per minute.

 

 

> The slope is –400 . This means that the helicopter descends 400 ft each minute.

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3 years ago
Find the slope of the surface in the x and y-directions at the given point. h(x,y) = x2 – y2 (-3, 2, 5)
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\frac{dh}{dx} |_A=2\cdot (-3)=-6 \\  \frac{dh}{dy} =-2\cdot 2=-4 -- the slopes at x and y- directions, respectively.



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Read 2 more answers
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