rror analysis:
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?
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).
To find the distance between two points in a coordinate plane, we use the distance formula. The distance formula is derived from the Pythagorean theorem. The formula is given as:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where:
x1, y1 are the coordinates of the first point
x2, y2 are the coordinates of the second point
d is the distance between the two points
In this case, we are given the points (2, -5) and (4, 10). Let's substitute these values into the distance formula and calculate the distance:
d = √((4 - 2)^2 + (10 - (-5))^2)
= √(2^2 + 15^2)
= √(4 + 225)
= √229
≈ 15.13 (rounded to two decimal places)
The correct distance between the points (2, -5) and (4, 10) is approximately 15.13 units.
Now, let's analyze the given steps to see if the correct distance was found or if any mistakes were made.
Based on the steps provided, it seems that the calculation was not performed correctly. The mistake is likely to have occurred during the calculations.
The first mistake was made when evaluating the term (10 - (-5))^2. Since -5 is being subtracted, it should be written as (10 + 5)^2 or (15)^2, not (10 - (-5))^2.
Therefore, the corrected calculation would be:
d = √((4 - 2)^2 + (10 + 5)^2)
= √(2^2 + 15^2)
= √(4 + 225)
= √229
≈ 15.13 (rounded to two decimal places)
By making the correction, we can confirm that the distance between the points (2, -5) and (4, 10) is indeed approximately 15.13 units.
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance using this formula.
Given points:
Point 1: (2, -5)
Point 2: (4, 10)
Using the distance formula:
d = √((4 - 2)^2 + (10 - (-5))^2)
= √(2^2 + 15^2)
= √(4 + 225)
= √229
Now, we should simplify the square root to see if the distance is correct.
However, since no specific distance is mentioned in the question, it is unclear what the expected answer should be. Thus, I cannot determine if the calculated distance is correct or incorrect.
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
.
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.