Question

Find the distance between two points given (-7,-1) & (4,0). Round your answer to the nearest 10th.

a) 11.7 units
b) 14.1 units
c) 8.6 units
d) 9.9 units

Answer 1

The distance between the points (-7, -1) and (4, 0) is approximately 11.0 units when rounded to the nearest tenth.

Step-by-step explanation:

To find the distance between the two points (-7, -1) and (4, 0), we use the distance formula derived from the Pythagorean theorem:

D = √[(x2 - x1)2 + (y2 - y1)2]

Substituting the given points:

D = √[(4 - (-7))2 + (0 - (-1))2]

D = √[(4 + 7)2 + (0 + 1)2]

D = √[112 + 12]

D = √[121 + 1]

D = √122

Which we can simplify and round to the nearest tenth:

D ≈ 11.0 units