If A is a point on Y-axis, whose ordinate is 4 and coordinates of point B is (-3,1), then find the distanceAB

Sure, let's solve this step by step.

Step 1: Identify the coordinates of points A and B.

Point A is on the Y-axis and its ordinate is 4. This means its x-coordinate is 0. So, A = (0, 4).

Point B has coordinates (-3, 1). So, B = (-3, 1).

Step 2: Use the distance formula to find the distance between points A and B.

The distance formula is d = sqrt[(x2 - x1)^2 + (y2 - y1)^2].

Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.

Step 3: Substitute the coordinates of points A and B into the distance formula.

d = sqrt[(-3 - 0)^2 + (1 - 4)^2] = sqrt[(-3)^2 + (-3)^2] = sqrt[9 + 9] = sqrt[18] = 4.24 (rounded to two decimal places)

So, the distance between points A and B is approximately 4.24 units.