Find the distance between P(1,2) and Q(6,6).
The distance between P and Q is __.
(Simplify your answer. Type an exact answer using radicals as needed.)
Find the distance between P(1,2) and Q(6,6)
Share
Quizzma Latest Questions
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Find the distance between P(1,2) and Q(6,6).
The distance between P and Q is __.
(Simplify your answer. Type an exact answer using radicals as needed.)
To find the distance between the points P(1, 2) and Q(6, 6), we can use the distance formula:
[
d = sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}
]
Here, ( (x_1, y_1) ) are the coordinates of point P, and ( (x_2, y_2) ) are the coordinates of point Q.
Plugging in the values:
– ( x_1 = 1 ), ( y_1 = 2 )
– ( x_2 = 6 ), ( y_2 = 6 )
Now, substitute into the formula:
[
d = sqrt{(6 – 1)^2 + (6 – 2)^2}
]
Calculating the differences:
[
d = sqrt{(5)^2 + (4)^2}
]
Calculating the squares:
[
d = sqrt{25 + 16}
]
Adding those together:
[
d = sqrt{41}
]
So, the distance between P and Q is (sqrt{41}).