The distance between the points X(0,0) and Y(3,4) on the coordinate plane is 5. The correct answer is option B.
To find the distance between the points X(0,0) and Y(3,4) on the coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the distance between two points in a coordinate plane.
The formula for the distance between two points (x1, y1) and (x2, y2) is:
d =

Let's plug in the values from our problem:
x1 = 0, y1 = 0 (point X)
x2 = 3, y2 = 4 (point Y)
Now, let's calculate the distance:
d =

=

=

= √25
= 5
Therefore, the distance between the points X(0,0) and Y(3,4) on the coordinate plane is 5.
The correct option is B) 5.
The complete question could be Find the distance between the points X(0,0) and Y(3,4) on the coordinate plane. options: A) 4 B) 5 C) 9 D) 1