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Question 96
Hint
Two points are plotted on a coordinate plane. Point 
A is plotted at 
(0,5) and point 
B is plotted at 
(0,-5). What is the distance, in units, from point 
A to point 
B ?
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(R) Reset\newlineSkip Stage\newlineCalculator 䙹\newlineQuestion 9696\newlineHint\newlineTwo points are plotted on a coordinate plane. Point A A is plotted at (0,5) (0,5) and point B B is plotted at (0,5) (\mathbf{0},-\mathbf{5}) . What is the distance, in units, from point A A to point B B ?\newlineSubmit

Full solution

Q. (R) Reset\newlineSkip Stage\newlineCalculator 䙹\newlineQuestion 9696\newlineHint\newlineTwo points are plotted on a coordinate plane. Point A A is plotted at (0,5) (0,5) and point B B is plotted at (0,5) (\mathbf{0},-\mathbf{5}) . What is the distance, in units, from point A A to point B B ?\newlineSubmit
  1. Use distance formula: Use the distance formula for two points in a coordinate plane: d=((x2x1)2+(y2y1)2)d = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}.
  2. Substitute given points: Substitute the given points into the distance formula: d=((00)2+(55)2)d = \sqrt{((0 - 0)^2 + (-5 - 5)^2)}.
  3. Simplify equation: Simplify the equation: d=02+(10)2d = \sqrt{0^2 + (-10)^2}.
  4. Calculate squares: Calculate the squares: d=0+100d = \sqrt{0 + 100}.
  5. Find square root: Find the square root: d=100d = \sqrt{100}.
  6. Final calculation: Final calculation: d=10d = 10.

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