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 39Answera.1.8b.4.5c.9.2d.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.
Similar Questions
Find the distance between each pair of points (-9, -1) and (2, 4). Round to the nearest tenth.
Find the distance between the points (–5,3) and (–5,10).-10-8-6-4-2246810-10-8-6-4-22468100xy(–5,10)(–5,3)Round decimals to the nearest tenth.
Find the distance between (-6, -2) and (2, 4). Round to the nearest tenth.Group of answer choices4.5 units5.3 units10 units28 units
Find the distance between the points (8,8) and (–3,–5).-10-8-6-4-2246810-10-8-6-4-22468100xy(8,8)(–3,–5)Round decimals to the nearest tenth. unitsSubmit
Find the distance between the points (0, 4) and (4, 7). Type your answer in Blank 1
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.