Answered

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I DONT UNDERSTAND HOW TO DO THISSS PLEASE HELP
Does the point (5, −24) lie inside, outside, or on the circle with a center at (−5, −8) and a radius of 25 units?

Sagot :

sqdancefan

Answer:

  inside

Step-by-step explanation:

All of the points on the circle are at distance 25 units from the center. If the questionable point is closer to the center than that, it is inside the circle.

The distance formula can be used.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((5 -(-5))^2 +(-24 -(-8))^2) = √(10^2 +(-16)^2) = √(100 +256) = √356

  d ≈ 18.9

The point (5, -24) is inside the circle centered at (-5, -8) with radius 25.

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The equation of the circle is equivalent to d=25 using (x1, y1) as the center. It is usually written without the radical:

  (x -(-5))^2 +(y -(-8))^2 = 25^2

  (x +5)^2 +(y +8)^2 = 625

View image sqdancefan
rryabchuk

Answer:

The answer is inside.

Step-by-step explanation:

Took the test and got it right! Good luck! God Bless you!

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