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