Find the distance between the points (0, 4) and (4, 7). Type your answer in Blank 1
Question
Find the distance between the points (0, 4) and (4, 7).
Type your answer in Blank 1.
Solution
To find the distance between two points in a plane, we can use the distance formula derived from the Pythagorean theorem, which is:
d = sqrt[(x2 - x1)² + (y2 - y1)²]
Here, the two points are (0, 4) and (4, 7). So, x1 = 0, y1 = 4, x2 = 4, and y2 = 7.
Substitute these values into the formula:
d = sqrt[(4 - 0)² + (7 - 4)²] d = sqrt[(4)² + (3)²] d = sqrt[16 + 9] d = sqrt[25] d = 5
So, the distance between the points (0, 4) and (4, 7) is 5 units.
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