Answer:
In this case, the factor that comes out is x=−3, so you would divide by (x+3). Repeat until you've reduced to a quadratic, and then use the quadratic formula to find the irrational coefficients (if any). Simple factorisation solves your problem. Hence the 4 roots are x=12,x=−3,x=2i and x=−2i.
Answer:
P(algebra, then statistics) = 7/80
Step-by-step explanation:
The total number of books is 7 + 8 + 5 = 20.
1. P(algebra, then statistics)
The probability that the first book is an algebra book is 7/20.
Carlos then replaces the book, so the total is still 20.
The probability that the second book is a statistics book is 5/20.
Therefore, the total probability is:
P(algebra, then statistics) = 7/20 × 5/20
P(algebra, then statistics) = 7/80
Answer:
B(-6, 0)
Step-by-step explanation:
You want to find B such that ...
(B -A) = (3/4)(C -A) . . . . the required distance relation
4(B -A) = 3(C -A) . . . . . . multiply by 4
4B = 3C +A . . . . . . . . . . add 4A, simplify
Now, we can solve for B and substitute the given coordinates:
B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)
The coordinates of point B are (-6, 0).
Answer:
x = 34
Step-by-step explanation:
The sum of the three angles is 180 since they make a straight line
x+12 + 100 +x = 180
Combine like terms
2x+112=180
Subtract 112 from each side
2x+112-112= 180-112
2x = 68
Divide by 2
2x/2 =68/2
x = 34
