rror analysis:

Question

To find the distance between points (2, -5) and (4, 10), the following steps were used.

Is the distance correct? If the distance is not correct, where was the FIRST mistake made?

Answer 1

The distance between two points (x1, y1) and (x2, y2) can be found using the formula:

distance = √[(x2 - x1)^2 + (y2 - y1)^2]

In this case, the points are (2, -5) and (4, 10).

Using the formula, the distance between these two points is:

distance = √[(4 - 2)^2 + (10 - (-5))^2]
= √[2^2 + 15^2]
= √[4 + 225]
= √229

To verify if the distance is correct, we can calculate √229 and see if it matches the distance found above.

√229 ≈ 15.13274595 (rounded to 8 decimal places)

Since the distance found is approximately equal to 15.13274595, which is approximately equal to √229, the distance is correct.

Therefore, there was no mistake made in finding the distance between the given points (2, -5) and (4, 10).

Answer 2

Step 1: Find the
of the line that connects C to D and the line that connects
.

Once these are found, we will
these.

The final answer is approximately

.

Answer 3

Based on the given steps, it seems that the process of finding the distance between points C and D is missing. The first step should have been to find the equation of the line that connects C to D and the equation of the line that connects D to E. However, these steps are missing in the provided error analysis.

Without these missing steps, it is not possible to determine where the first mistake was made or if the distance calculated is correct.

To correctly find the distance between two points, the following steps should be followed:

1. Identify the coordinates of the two points.
2. Substitute the coordinates into the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).
3. Perform the necessary calculations to find the distance.

Without these missing steps, it is not possible to determine the accuracy of the distance calculation.