Question

What is the distance between the two points (5, –3) and (3, 9)?

SquareRoot 148

SquareRoot 165

SquareRoot 181

Squareroot 198

Answer 1

what's the formula to find distance ?

Answer 2

@Nnesha I don't know, that's my issue o-o

Answer 3

ahh alright \[\huge\rm \sqrt{(x_2 -x_1)^2 + (y_2-y_1)^2}\]
okay here is a formula where x and y values are \[\huge\rm (x_1 ,y_1) (x_2 ,y_2)\]
plug in x and y values

Answer 4

Okay so x2 - x1 = 3 - 5 = -2

ys - y1 = 9 - (-3) = 12

12 +-2 = 10

??? Did I do that right?

Answer 5

@Nnesha

Answer 6

yep -2 and 12
now you can't add them yet bec it's (x_2 - x_1)^2 <square
so first take square of both number then add them

Answer 7

\[\huge\rm \sqrt{(x_2 -x_1)^\color{ReD}{2} + (y_2-y_1)^\color{red}{2}}\]
\[\huge\rm \sqrt{(-2)^\color{ReD}{2} + (12)^\color{red}{2}}\]

Answer 8

^2 of -2 = 4

^2 of 12 = 144

So add 4 + 144 ? = 148

Answer 9

yes right
sqrt of 148

Answer 10

Okay thank you :D

Answer 11

my pleasure :-)

Answer 12

btw \(\huge\color{Green}{{\rm welcome}\rm~to~open~study!!!!}\)
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Answer 13

Thank you :D