Question

The diagram shows A(-3, 5) and B(8,1).

What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5

Answer 1

Answer:

11.7

Step-by-step explanation:

You can form a right triangle with these points with a base of 11 and height of 4 with the third point as (-3, 1).

Using the Pythagorean Theorem, we get:

$11^2+4^2=c^2\\121+16=c^2\\137=c^2\\c^2=137\\c=\sqrt{137}\\c=11.7$

The distance from A to B is roughly 11.7 units long.

Answer 2

Answer:

11.7

Step-by-step explanation:

Use the formula for distance of two points.

d = √( (x2 - x1)²+(y2-y1)²)

d = √( (8 - -3)²+(1 - 5)²)

d = √( (11)²+(-4)²)

d = √( 121+16 )

d = √137 = 11.7047