Find the distance between each pair of points (6, -7) and (0, 0). Round to the nearest tenth. Question 39Answera.1.8b.4.5c.9.2d.2
Question
Find the distance between each pair of points (6, -7) and (0, 0). Round to the nearest tenth.
Question 39
Answers:
- a. 1.8
- b. 4.5
- c. 9.2
- d. 2
Solution
To find the distance between two points (x1, y1) and (x2, y2), we can use the distance formula which is derived from the Pythagorean theorem:
Distance = sqrt[(x2-x1)² + (y2-y1)²]
Here, the points are (6, -7) and (0, 0). So, x1 = 6, y1 = -7, x2 = 0, and y2 = 0.
Substitute these values into the formula:
Distance = sqrt[(0-6)² + (0-(-7))²] = sqrt[(-6)² + 7²] = sqrt[36 + 49] = sqrt[85]
The square root of 85 is approximately 9.2 when rounded to the nearest tenth.
So, the answer is c. 9.2.
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