Answer:
<em>x = 1</em>
This is the equation that I interpreted:
6/(x) - 3 = 3/(x)
I have never worked with determining extraneous equations before, so I cannot answer the second part.

Expanding the left side gives

which gives two solutions,

and

. But if

, then

, but this number isn't real, so

is an extraneous solution. Meanwhile if

, you get

, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Answer:
1/3
Step-by-step explanation:
I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..
Ex. Rolling a 6 sided dice.. you roll a 5... it would be 1/6.
Hope that makes sense.