The answers is Rational. hope that helps
Find the slope first by using rise/run
We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).
Substitute x = -2 and y = -1 in the equation.
Thus the y-intercept is 4/3.
From y = mx+b, the equation is.
Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Answer:
6 and 8
Step-by-step explanation:
All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.
2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48
4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48
6 and 8 . . . . . have a difference of 2, and 6·8 = 48
24 and 2 . . . . do not have a difference of 2
Answer:
x ≥12
Step-by-step explanation:
-3x ≤ -36
Divide each side by -3, remembering to flip the inequality
-3x/-3 ≥ -36/-3
x ≥12