In class we learnt operation with radicals
how would you answer a question like this
determine the length of the line segment from A(-2,7), to B (4,1)?
length of line = √[ (4+2)^2 + (1-7)^2]
= √(36+36)
= √72 = √36√2
= 6√2
Thank you so much !!!
To determine the length of the line segment AB from point A(-2,7) to point B(4,1), you can use the distance formula. The distance formula allows you to calculate the distance between two points in a coordinate plane.
The distance formula is given by:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
where (x1, y1) represents the coordinates of point A and (x2, y2) represents the coordinates of point B.
To apply the formula and find the length of AB, you can substitute the coordinates into the formula:
d = √[(4 - (-2))^2 + (1 - 7)^2]
Simplifying further:
d = √[(6)^2 + (-6)^2]
= √[36 + 36]
= √72
Now, to simplify the square root of 72, you can factor out any perfect squares from the radicand. In this case, 72 can be factored as 36 * 2.
d = √(36 * 2)
= √36 * √2
= 6√2
Therefore, the length of the line segment AB is 6√2 units.