Answer:
Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:
If both numerator and denominator are decreased by six, the fraction becomes:
The simplified result is 
Therefore:
Substituting x=40 into the initial fraction
Therefore, the original fraction is
Answer:
Step-by-step explanation:
Expand brackets.
Apply radical rule : 
Answer:
56 degrees
Step-by-step explanation:
We know that the angle TWR must be 90 degrees because TWK is 90 degrees and the two angles msut add up to 180. Since we know that TWR=90 degrees and since LWR=34 degrees we do 90-34 so angle 2=56 degrees.
Answer:
-4 ± 2√6
Step-by-step explanation:
Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.
Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.
Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:
-b ± √(b² - 4ac)
x = -------------------------
2a
which in this case comes out to:
-8 ± √96 -8 ± 4√6
x = ------------------ = ------------------- = -4 ± 2√6
2 2
