An earthquake can be felt in a circular pattern from the epicenter. if the equation of this pattern is x2 + y2 = 2500, how many miles away from the epicenter can you feel the effects of the earthquake?

Step-by-step explanation:

The given expression is

Which represents a circumference. So, if this circunference represents the pattern of an earthquare, that means the radius of such circumference represents the miles away from the epicenter.

The given expression is the explicit form of a circumference, like this

Where is the radius.

So, in this case,

Therefore, we can feel the effects of the earthquake 50 miles from the epicenter.

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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