Can I get some help!

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded to the nearest tenth?


17.5 units


10.29 units


175 units


13 units

Respuesta :

Answer:

The answer to your question is 17.5 units

Step-by-step explanation:

Data

A (-10, 12)

B (5, 3)

Formula

dAB = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

x1 = -10   y1 = 12  x2 = 5  y2 = 3

- Substitution

dAB = [tex]\sqrt{(5 + 10)^{2} + (3 - 12)^{2}}[/tex]

- Simplification

dAB = [tex]\sqrt{15^{2}+ (-9)^{2}}[/tex]

dAB = [tex]\sqrt{225 + 81}[/tex]

dAB = [tex]\sqrt{306}[/tex]

Result

dAB = 17.49 units

The answer is the first choice