There are different formulas for calculating the two types of compound events: Say A and B are two events, then for mutually exclusive events: P(A or B) = P (A) + P(B). For mutually inclusive events, P (A or B) = P(A) + P(B) - P(A and B).
I thing it is B...plz tell me if I am right but I think I am
Answer:
B: (x - 4)² = 44
Step-by-step explanation:
Start with x^2 - 8x - 10 = 18.
Simplify the constants by adding 10 to both sides: x^2 - 8x - 10 + 10 = 18 + 10.
Then x^2 - 8x = 28.
Now identify the coefficient of x. It is -8.
Take half of this, obtaining -4.
Square this result, obtaining 16.
Add 16, and then subtract 16, to x^2 - 8x:
x^2 - 8x + 16 - 16 = 28.
Add 16 to both sides:
x^2 - 8x + 16 = 28 + 16 = 44
Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:
(x - 4)² = 44. This is in the form (x - p)² = 44, and matches Answer B.
Note: Please use " ^ " to indicate exponentiation: (x - 4)^2 = 44
<span>-0.99920681013 is the answer </span>
By the segment addition postulate,
AB = AC+CB
since C is somewhere between A and B
We know AC is 0.618 and AB = 1
CB = x for now
AB = AC+CB
1 = 0.618+x
1-0.618 = 0.618+x-0.618 ... subtract 0.618 from both sides
0.382 = x
x = 0.382
So CB is 0.382 units long
To find the ratio of AC to CB, divide the values
AC/CB = 0.618/0.382 = 1.618 (approximate to 3 decimal places)
Answer: Choice B) 1.618
