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
Answer: Third option.
Step-by-step explanation:
By definition, the slope of a line can be calculated with the following formula:
Since you need to solve for 
to find an equivalent expression, you can apply these steps:
1. You must multiply both sides of the equation by 
:
2. Finally, you must add 
to both sides of the equation:
X= 1 .........................
Answer: x=115
Step-by-step explanation:
Answer:
7/ 36
Step-by-step explanation:
Roll of 2 fair six sided die :
Sample space = 6² = 36
Sum of 7:
(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6
Probability = required outcome / Total possible outcomes
Required outcome = 7
Total possible outcomes = 36
P(obtaining a sum of 7) = 7 / 36
