Answer :
Answer:
13
Step-by-step explanation:
The difference between the x-values is 5.
The difference between the y-values is 12.
These are the non-hypotenuse sides.
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2
c = 13
The distance between the two points is 13.
Answer:
13 units
Step-by-step explanation:
(-1,5) and (4, -7)
To find the distance of two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Let's plug in what we know.
[tex]d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }[/tex]
Evaluate the double negative.
[tex]d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(5)^2 + (-12)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(25) + (144) }[/tex]
Add.
[tex]d = \sqrt{(169) }[/tex]
Evaluate the square root.
[tex]d = 13[/tex]
13 units
Hope this helps!