Question

Find the distance between these two points using the Pythagorean Theorem.
(3,5) (7, -1)
Which choice is correct?

(1 point)
Responses

52+72=136−−−√
5 squared plus 7 squared is equal to square root of 136

32−−√−52=20−−√
square root of 3 squared end root minus 5 squared is equal to square root of 20

(62+102)−−−−−−−−−√=136−−−√
square root of open paren 6 squared plus 10 squared close paren end root is equal to square root of 136

62−−√+32=25−−√
square root of 6 squared end root plus 3 squared is equal to square root of 25

Answer 1

thats not one of the answer choices

Answer 2

The correct answer is:

62+(-1-5)2=20−−√
Square root of 6 squared plus -6 squared is equal to square root of 20

Answer 3

Apologies for the oversight. Let's correct it.

The distance between the points (3, 5) and (7, -1) can be calculated using the Pythagorean Theorem.

Distance = √((7-3)^2 + (-1-5)^2)
Distance = √(4^2 + (-6)^2)
Distance = √(16 + 36)
Distance = √52

So, the correct choice is:
5² + 7² = 25 + 49 = √74