Find the distance between the two points: P1= ( -1,0) and P2= (2,4)
Just use the distance between two points formula.
It will be found in your text or your notes.
Distance = Square Root ((x2-x1)^2 +(y2-y1)^2)
Square Root ((2-(-1))^2 + (4-0)^2)
Square Root ((2+1)^2 + (4)^2
Square Root ((3)^2 + 16)
Square Root (9+16)
Square Root (25)
= 5
To find the distance between two points, you 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)
Given the points P1 = (-1, 0) and P2 = (2, 4), you can substitute the x and y coordinates into the formula as follows:
distance = sqrt((2 - (-1))^2 + (4 - 0)^2)
Simplifying further:
distance = sqrt((3)^2 + (4)^2)
distance = sqrt(9 + 16)
distance = sqrt(25)
distance = 5
Therefore, the distance between P1 = (-1, 0) and P2 = (2, 4) is 5 units.
To find the distance between two points, you can use the distance formula in a coordinate plane. The formula is:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Given the points P1 = (-1, 0) and P2 = (2, 4), we can substitute the coordinates into the formula:
Distance = √[(2 - (-1))² + (4 - 0)²]
Simplifying this:
Distance = √[(3)² + (4)²]
Distance = √[9 + 16]
Distance = √25
Distance = 5
Therefore, the distance between the points P1 = (-1, 0) and P2 = (2, 4) is 5 units.