Question

What is the distance between A and B? Round your answer to the nearest hundredth.

A coordinate plane is shown. Point A is located at 0, 6, and point B is located at 7, negative 2. A line segment connects the two points.

9.58 units
10.63 units
11.56 units
12.29 units

Answer 1

\(\color{#000000 }{ \displaystyle a^2+b^2=c^2 }\)

You can imagine/picture that right triangle (through (0,-2)).
\(\color{#000000 }{ \displaystyle a=8\quad \quad b=7 }\)

\(\color{#000000 }{ \displaystyle 8^2+7^2=c^2 }\)

Answer 2

you can use distance formula which go from pythogorian theorem:

\[\huge\bf d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\]

Answer 3

points are (0, 6) and (7, -2)

substitute:
\[\huge\bf\color{red}{d=\sqrt{(0-7)^2+(6+2)^2}=?}\]

Answer 4

yup, practically, the same thing :)

Answer 5

is the answer 10.63

Answer 6

i got the same

Answer 7

ok thxs

Answer 8

Yup, this is right...

Answer 9

=]