please please help!

The city is mapped on a coordinate grid with the origin being City Hall. The library is located at (-3, 9) and the school is located at 3, 1). How far is the library from the school?

A. 4.2 units
B. 3.6 units
C. 10 units
D. 5 units

Respuesta :

Answer:

C

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 9) and (x₂, y₂ ) = (3, 1)

d = [tex]\sqrt{(3+3)^2+(1-9)^2}[/tex]

  = [tex]\sqrt{6^2+(-8)^2}[/tex]

  = [tex]\sqrt{36+64}[/tex]

  [tex]\sqrt{100}[/tex] = 10 → C