Distance Formula Find the distance between the given points....

Distance Formula Find the distance between the given points. Round to the nearest hundredth place 6.) \((-1, -6), (-8, 5)\) 7.) \((5, 1), (-5, -7)\) 8.) \((-2, 0), (10, -14)\) Midpoint Formula 9.) Find the midpoint of the given points. \((-12, -9), (2, 10)\) 10.) Find the coordinate of the missing endpoint. Given the endpoint D and the midpoint M. D\((5, 2)\), M\((7, 6)\)

Transcript

00:01 We need to answer the following questions.

00:03 So the first one is we need to find the distance between the points of mn and 0.

00:24 So distance is equal to the square root.

00:27 We'll call this x1, y1, x2, y2, of this difference in the x's.

00:35 So that's 0 minus m squared plus 0 minus n squared, which becomes the square.

00:43 Square root of m squared plus n squared so is the square root of m squared plus n squared so we have two points and are the end points of the diameter so we need to find the length of the radius so we're going to first find the length of the diameter by finding the distance so two minus a negative 10 squared plus five minus a negative four squared so we get 2 minus a negative 10 squared.

01:26 That's 144.

01:30 And then 5 minus negative 9, 5 .4 squared is 81.

01:39 So the square root of 144 plus 81 is equal to 15.

01:46 But that's the diameter.

01:48 So our radius is going to be.

01:53 7 .15 divided by 2, which is 7 .50.

01:57 But now we need to find the midpoint.

01:59 The midpoint.

02:01 We add the x's together, divided by 2.

02:05 We add the ys together, divide by 2.

02:09 So we have 0 plus a negative 6 over 7 divided by 2.

02:14 And we have 1 4th plus 0 divided by 2.

02:17 So 0 minus, or no, 0 plus negative 6 over 7 is negative 6 over 7.

02:28 And then we divide that by 2.

02:32 And we get, and we're using integers or fractions...

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