Question

find the distance between the two points. round to the nearest tenth if necessary (2,2), (8,10)
A. 6
B. 10
C. 8
D. 100

Answer 1

@freckles

Answer 2

\[\text{ The distance between the points } (a,b) \text{ and } (c,d) \\ \text{ can be found by computing } \\ \sqrt{(a-c)^2+(b-d)^2} \]

Answer 3

so first let's do this with little bitty steps
the difference of your x's is 2-8 which is?
the difference of your y's is 2-10 which is?

Answer 4

-6 and -8

Answer 5

great now once we find the differences
we square each

Answer 6

(-6)^2=?
(-8)^2=?

Answer 7

um.....

Answer 8

(-6)^2=(-6)(-6)=?
(-8)^2=(-8)(-8)=?

Answer 9

\[\text{ The distance between the points } (a,b) \text{ and } (c,d) \\ \text{ can be found by computing } \\ \sqrt{(a-c)^2+(b-d)^2}\]
\[\text{ The distance between the points } (2,2) \text{ and } (8,10) \\ \text{ can be found by computing } \\ \sqrt{(2-8)^2+(2-10)^2}\]
\[\sqrt{(2-8)^2+(2-10)^2} \\ \sqrt{(-6)^2+(-8)^2} \\ \sqrt{36+64}\]
can you finish from here?

Answer 10

it is b

Answer 11

yep the sqrt(100) is 10