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Burka [1]
3 years ago
11

Find the distance between (-1,-2) and (8,9)

Mathematics
2 answers:
Rom4ik [11]3 years ago
7 0

Answer:

\sqrt{202} units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}  

So, as an exact answer, the distance is \sqrt{202} units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

serious [3.7K]3 years ago
6 0

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

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