Question

A student calculated the distance between the points (2, 3) and (-3,5).

In two or more complete sentences, explain whether or not the student's calculation of the distance between the two
points is correct

Answer 1

The student is wrong

Explanation:

The student was supposed to add the 25 and 4, but instead the student subtracted the values, causing them to get
`√(21)` instead of
`√(29)`

Answer 2

The student's calculation for the distance between the points (2, 3) and (-3, 5) is incorrect. There is a mistake in the formula, and the square roots are not applied accurately, leading to an inaccurate result for the distance.

The student's calculation of the distance between the points (2, 3) and (-3, 5) is not correct.

It appears there is an error in the formula used, as the square roots are not applied correctly.

The correct formula for the distance between two points
`\((x_1, y_1)\)` and
`\((x_2, y_2)\)` is
`\(d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)\)`. The student's calculation shows inconsistencies in the application of this formula.