Answer:
The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
Suppose U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and Q = {3, 6, 9). What is Q"?
mario62 [17]
Answer:
Step-by-step explanation:
U is the universal set, that is, a set that contains the universe of possible sets, which is formed by 10 elements in this. Q is a subset of U formed by three elements: 3, 6, 9. (
)
represents the complement of the complement of 
. The complement of is the subset of 
formed by elements not contained in . which simbolized by 
. That is, 1, 2, 4, 5, 7, 8, 10.
The complement of corresponds to the elements contained in . Hence, the correct answer is .
Answer: slope = 3
Step-by-step explanation:
We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope 
simplified to 3
60 miles per hour. In two miles the sum of the distance the two trains traveled was 200 miles, you divide that by 2, the sum of the speed of the two trains is 100 miles per hour, now put the speed of the slow train as x and the fast as x +20, the sum of x and x +20 is 100, so 2x + 20 =100, you subtract 20 from both sides, 2x = 80, divide by 2, x = 40, the problem asks for the speed of the fast train, so, x + 20 is 60.
