A horizontal line is represented by y = a number...with that number being the y coordinate of ur point (-3,-1).
Therefore, ur equation is : y = -1
Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
Answer:
Diameter = 2 Circumference = 2π
Step-by-step explanation:
The diameter of a circle is the radius*2 and the radius of a unit circle is 1 so the diameter is 2. The circumference of a circle is the diameter*π. Since you are allowed to express it in terms of π. Just leave it at 2π, though the actual value of π is approximately 3.14
Answer:
Step-by-step explanation:
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Find The Hypotenuse of A
Tan(A) = Opposite / Adjacent
Tan(A) = 15/8
Opposite = 15
Adjacent = 8
Hypotenuse = c
c^2 = opposite^2 + Adjacent^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c^2 = 289
sqrt(c^2) = sqrt(289)
c = 17
Find the opposite of B
Adjacent = 12
Hypotenuse = 37
Opposite = b
adjacent^2 + opposite^2 = hypotenuse^2
12^2 + b^2 = 37^2
144 + b^2 = 1369
b^2 = 1369 - 144
b^2 = 1335
b = 35
Definitions
Sin(A) = Opposite / hypotenuse = 15/17
Sin(B) = opposite / hypotenuse = 35/37
Cos(A) = 8/17
Cos(B) = 12/37
Answer
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Cos(A + B) = 8/17 * 12/37 - 15/17*35/37
Cos(A + B) = 96/629 - 525/629
Cos(A + B) = -429/629
Answer:
Step-by-step explanation:
