Answer:
B
Step-by-step explanation:
12 + 3n = 3n + 3p
12 = 3p
Solution: p = 4
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
Answer: y > 4.5 or y < -4.5
You use the rule
if |y| > k, then y > k or y < -k
where k is some positive number. In this case, k = 4.5
Multiplication property of equality (Multiply both sides by 2)
9(8 - x) + 72 = 204 - 5(3x + 24)
Distributive property
72 - 9x + 72 = 204 - 7.5x - 60
Combine like terms
-9x + 144 = -7.5x + 144
Subtraction property of equality (Subtract both sides by 144)
-9x ≠ 7.5x
No solution
