Answer:
(-5,-14)
Step-by-step explanation:
To find the solution of the system of two equations
equate right sides of these two equations:
Rewrite terms with x into the left side and without x into the right side:
Substitute x=-5 into the first equation:
The solution is (-5,-14)
Answer:
k = - 6
Step-by-step explanation:
Since (x - 2) is a factor then x = 2 is a root
Substitute x = 2 into the polynomial and equate to zero, that is
2³ + k(2)² + 12(2) - 8 = 0
8 + 4k + 24 - 8 = 0
4k + 24 = 0 ( subtract 24 from both sides )
4k = - 24 ( divide both sides by 4 )
k = - 6
Answer:
3890000000
Step-by-step explanation:
Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
Answer: The area is 572.5566
Step-by-step explanation:
27÷2=r=13.5
A=πr²
A=3.1416(π) · 13.5²(r)
A=572.5566