Answer:
x =5
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given the points A(2, x) , B(x, 8) and AB = 3√2
On substituting the given values into the formula;
AB = √(x-2)²+(8-x)²
3√2= √(x-2)²+(8-x)²
square both sides
(3√2)²= (x-2)²+(8-x)²
18 = (x-2)²+(8-x)²
expand
18 = x²-4x+4+64-16x+x²
18 = 2x²-20x+68
2x²-20x+68-18 = 0
2x²-20x+50 = 0
x²-10x+25 = 0
Factorize
x²-5x-5x+16 = 0
x(x-5)-5(x-5) = 0
(x-5)(x-5) = 0
x-5 = 0 an x-5 = 0
x = 5
Answer:
an = -3 · an - 1 where a1 = -1.
Step-by-step explanation:
The first term a1 = -1 and the common ratio is -3 so ecah term is formed form the previous one by multiplying by -3.
Your expected win from this bet would be about -0.05, meaning that you can expect to lose 5 cents on each $1 bet.
To find this we multiply the probability for each bet times $1. Remember in Roulette, there are 18 red, 18 black and 2 zero spaces.
(18/38) x 1 + (20/38) x -1 = -0.05
Answer:
<h3>dn = -7^n-1</h3>
Step-by-step explanation:
Given the sequence -1,-7,-49,-343,....
We are to find the nth term of the sequence
dn = ar^n-1
a is the first term = -1
r is the common ration = -7/-1 = -49/-7 = 7
n is the number of terms
Substitute
dn = -1(7)^n-1
dn = -7^n-1
hence the nth term of the sequence is dn = -7^n-1
Answer:
.03397
Step-by-step explanation:
The fifth decimal is 7, and the number after that is 4. Because 4 is not greater than or equal to 5, we do not round up the 7.
