Question

b

Answer 1

10

Answer 2

i looked it up

Answer 3

im only in 8th i just know the reliable websites

Answer 4

Hint* what is the fastest way to get from point A to point B? You travel in a straight line right?

Answer 5

yeh you can take over @johnweldon1993

Answer 6

So imagine we have those 2 points...let's graph them:



We have our 2 points

Answer 7

So if we draw a straight line connecting the two...we have the distance between them



Now of course, we don't know WHAT that is yet...

Answer 8

So lets just label that side D and label our points



And ultimately our goal is to solve for D (the distance between the 2 points)

Answer 9

Here's def of distance formula: The distance formula is used to determine the distance, d, between two points. If the coordinates of the two points are (x1, y1) and (x2, y2), the distance equals the square root of x2 − x1 squared + y2 − y1 squared.

Answer 10

What we DO know...is how far DOWN point B is from point A....and we know how far RIGHT it is compared to point A

So we can now label that!



*Because you need to go 8 units down (1 - (-7)) and 6 units to the right (7 - 1) to go from point A to point B

Answer 11

Now that we have those sides, notice we just have a right triangle...and we can just use the Pythagorean Theorem to solve for D

\[\large a^2 + b^2 = D^2\]
\[\large (8)^2 + (6)^2 = D^2\]
\[\large 64 + 36 = D^2\]
\[\large 100 = D^2\]
\[\large D = 10\]

Thus, your distance between points A and B is 10 units

Answer 12

\[\sqrt{(x _{2}-x _{1})^2+(y _{2}-y _{1})^2}\] you can use this and plug in coordinates

Answer 13

next time you have problem like this