Answer:
-45
Step-by-step explanation:
put x = -6 and y=3 in this expression : y(2x - y)
3(2(-6)-3) = 3(-12 -3)= 3(-15) = -45
Answer:
.
Step-by-step explanation:
(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2
(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2
2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer: 180 = 30 + (x + 60)
Step-by-step explanation: Supplementary means that the angles add together to 180 degrees. This equations shows that angle A (30 degrees) plus angle B (x + 60) equal 180. If you solve the equation you will find that angle B is equal to 150 degrees, and that x = 90.
