8). x=(-1+√22)/2 , x=(-1-√22)/3
9). x=(1+√5)/2 , x=(1-√5)/2
10). x=3 , 1/4
11). x=1/3 , -1
12). x=2+2√3 , 2-2√3
The formula for conditional probablity states that

Since we know both numerator and denominator, we only need to plug in the values:

Step-by-step explanation:
(12x - 19y) (12x + 19y) = 144x^2-361y^2
D (-4; -2)
C (1; 2)
M (x; y)
DM+MC=CD
CM:MD=1:3
M: x= x(C)-(x(C) - x(D))/4=1-(1-(-4))/4=1 - (6/4)=1 - 1,5= - 0,5
M: y=y(C)-(y(C) - y(D))/4=2-(2-(-2))/4=2 - (4/4)=2 - 1=1
M(x; y)=M( -0,5; 1)
Answer:
=3814697265625
Step-by-step explanation:
(5^3)^6
=(5^3)^6
=(5^3)*(5^3)*(5^3)*(5^3)*(5^3)*(563)
=(5*5*5)*(5*5*5)*(5*5*5)*(5*5*5)*(5*5*5)*(5*5*5)
=5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5
=5^18
=3814697265625
^ is the a number raised. For example 5 raised to the power of 3. Hope it helped!!