There is an error, and the first mistake was made in Step 1.
The correct distance formula for points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)² + (y2 - y1)²)
Applying the distance formula to points (2, -5) and (4, 10) should look like this:
Step 1: d = √((4 - 2)² + (10 - (-5))²)
Step 1 Corrected: d = √((2)² + (15)²)
Step 2: d = √(4 + 225)
Step 3: d = √229
Step 4: d is approximately equal to 15.13
The original Step 1 incorrectly subtracted the y-values and placed a minus sign between the squared differences of the x-values and y-values. It should be an addition sign between them because you are summing the squares of the differences between the respective x and y coordinate values.
Therefore, the correct response is:
The distance formula has addition in between the parentheses, so step 1 should be d = √((4 − 2)² + (10 − (-5))²).
Error 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? Step 1: d=(4−2)2−(10+5)2−−−−−−−−−−−−−−−−√ Step 2: d=(2)2−(15)2−−−−−−−−−−√ Step 3: d=4−225−−−−−−√ Step 4: d=−221−−−−√ Step 5: d=−14.9 Responses There are no mistakes. The distance of -14.9 is correct. There are no mistakes. The distance of -14.9 is correct. Step 1 should have (10−5)2 as the second parenthesis. Step 1 should have open paren 10 minus 5 close paren squared as the second parenthesis. The distance formula has addition in between the parenthesis, so step 1 should be d=(4−2)2+(10+5)2−−−−−−−−−−−−−−−−√ . The distance formula has addition in between the parenthesis, so step 1 should be d is equal to square root of open paren 4 minus 2 close paren squared plus open paren 10 plus 5 close paren squared end root. In step 2, (15)2 means multiply 15 times 2 to get 30 instead of 225 for step 3.
1 answer