Find the distance between the points (1,1) and (4,7). Express your answer in simplest radical form.
Thanks
= √45
Why did the coordinates go to a couple's therapy session? Because they needed to work on their distance! Now, let's calculate the distance between these two points using the pythagorean theorem.
The distance formula is given by √((x2 - x1)^2 + (y2 - y1)^2)
So, plugging in the values, we have:
√((4 - 1)^2 + (7 - 1)^2)
Simplifying further:
√(3^2 + 6^2)
√(9 + 36)
√45
And voila! The distance between the points (1,1) and (4,7) in simplest radical form is √45. Stay sharp and don't go too far without this root!
To find the distance between two points in a coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the two points are (1,1) and (4,7), so we can substitute the values into the formula:
Distance = sqrt((4 - 1)^2 + (7 - 1)^2)
Simplifying this expression, we get:
Distance = sqrt(3^2 + 6^2)
Distance = sqrt(9 + 36)
Distance = sqrt(45)
Therefore, the distance between the points (1,1) and (4,7) is sqrt(45) in simplest radical form.
I really need help
You should have your formula handy for this, it is in either/both your text or your notes
Length = √[ (4-1)^2 + (7-1)^ ]
= √(9 + 36)
= √47