Questions: Find the distance between the points. Give an exact answer and an approximation to three decimal places. (-4.3, .4) and (-9.3,-9.5)

Transcript text: Find the distance between the points. Give an exact answer and an approximation to three decimal places. \[ (-4.3, .4) \text { and }(-9.3,-9.5) \]

Solution

Solution Steps

Step 1: Subtract the x-coordinates of the two points and square the result

\[(-9.3 + 4.3)^2 = 25\]

Step 2: Subtract the y-coordinates of the two points and square the result

\[(-9.5 - 0.4)^2 = 98.01\]

Step 3: Add the squared differences

\[25 + 98.01 = 123.010\]

Step 4: Take the square root of the sum to get the distance

\[\sqrt{123.010} = 11.091\]

Final Answer: The distance between the points A(-4.3, 0.4) and B(-9.3, -9.5) is approximately 11.091 units.

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