To find the distance between points (-6, -8) and (5, -12), the following steps were used.
Is the distance correct? If the distance is not correct, where was the FIRST mistake made?
Step 1: d= √(-6 -5)^2 + [-8-(-12)]^2
Step 2: d= √(-11)^2 +(4)^2
Step 3: d= √(-7)^2
Step 4: d= √49
Step 5: d=7
Responses
The distance formula has subtraction in between the parenthesis, so step 1 should be
.
The distance formula has subtraction in between the parenthesis, so step 1 should be d is equal to square root of open paren negative 6 minus 5 close paren squared minus open bracket negative 8 minus negative 12 close bracket squared end root.
In step 3, they got -7 by adding -11 and 4, but they should have simplified the exponents before any addition was done.
In step 3, they got -7 by adding -11 and 4, but they should have simplified the exponents before any addition was done.
In step 2, they should have
in the second parenthesis.
In step 2, they should have 20 squared in the second parenthesis.
There are no mistakes. The distance of 7 is correct.