Answer:
14.2 units
Step-by-step explanation:
Here x increases by 11 from -5 to +6. This is the length of the horizontal leg of a right triangle. Then y decreases by 9 from 7 to -2. This is the length of the vertical leg. The hypotenuse of this triangle may be found using the Pythagorean Theorem:
11^2 + 9^2 = (hypotenuse)^2, or
hypotenuse = √(121 + 81) = √202 ≈ 14.2 units
Answer:
≈ 14.2
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, - 2)
d = [tex]\sqrt{(6+5)^2+(-2-7)^2}[/tex]
= [tex]\sqrt{11^2+(-9)^2}[/tex]
= [tex]\sqrt{121+81}[/tex]
= [tex]\sqrt{202}[/tex]
≈ 14.2 ( to the nearest tenth )
