180-53 is 127 angle 6 and 3 would be the same so your answer is 127
Answer:
A) log(jk2y = 7log i + 2logk
Step-by-step explanation:
Answer:
x = 5/2 & x = 1/3
Step-by-step explanation:
Create two equations and solve
1) 2x-5 = 0 & 2) 3x-1 = 0
1) 2x = 5
x = 5/2
2) 3x = 1
x = 1/3
You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)
For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get
x^2-12x+45
___ ________________________
x+1 | x^3-11x^2+33x+45
- (x^3+x^2)
_________________________
-12x^2+33x+45
- (-12x^2-12x)
______________
45x+45
-(45x+45)
___________
0
Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
B,
P(A and B)= P(A)xP(B)
P(A and B)=0.60x0.30
P(A and B)=0.18