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Find the distance between the two points.

(8,-8)" and "(-5.2,-8)
Answer:
Write an optional reasoning for your answer:
7
A
B
I

Q_(0)
sis
(2)

Find the distance between the two points.\newline(8,8) and (5.2,8) (8,-8) \text { and }(-5.2,-8) \newlineAnswer:\newlineWrite an optional reasoning for your answer:\newline77\newlineA\newlineB\newlineI\newlineQ0 Q_{0} \newlinesis\newline(22)

Full solution

Q. Find the distance between the two points.\newline(8,8) and (5.2,8) (8,-8) \text { and }(-5.2,-8) \newlineAnswer:\newlineWrite an optional reasoning for your answer:\newline77\newlineA\newlineB\newlineI\newlineQ0 Q_{0} \newlinesis\newline(22)
  1. Calculate Coordinates Difference: Calculate the difference in the x-coordinates (Δx\Delta x) and y-coordinates (Δy\Delta y).\newlineΔx=5.28=13.2\Delta x = -5.2 - 8 = -13.2\newlineΔy=8(8)=0\Delta y = -8 - (-8) = 0
  2. Use Distance Formula: Use the distance formula: distance=(Δx2+Δy2)\text{distance} = \sqrt{(\Delta x^2 + \Delta y^2)}.distance=((13.2)2+02)\text{distance} = \sqrt{((-13.2)^2 + 0^2)}
  3. Calculate Squares and Sum: Calculate the squares and sum them up. \newlinedistance=174.24+0distance = \sqrt{174.24 + 0}
  4. Take Square Root: Take the square root to find the distance.\newlinedistance = 174.24\sqrt{174.24}\newlinedistance = 13.213.2

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