First lets write out the equation:
-8x + 2x - 16 < -5x + 7x
Lets collect the x values
-6x - 16 < 2x
-8x - 16 < 0 (subtract both sides by 2x to get all the x's on one side)
-8x < 16 ( add both sides by 16 to get all the x's alone)
x < -2 ( divide both sides by -8 to get what just x is)
So x < -2
Answer:
x is approximately 226.3 feet
y is approximately 308.6 feet
z is approximately 226.3 feet
Step-by-step explanation:
The given parameters of the walls are;
The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°
From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°
The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet
x = The height of the shorter wall = l × sin(θ₂)
∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet
∴ x ≈ 226.3 feet
By observation, we have;
y = x + z × tan(θ₁)
Where;
z = l × cos(θ₂)
∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6
y ≈ 308.6 feet
z = l × cos(θ₂)
∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3
z ≈ 226.3 feet.
The answer is 8.5
Hope this helped
The graph of f(x) translates down 4 units to give f(x) - 4
So the x coordinate stays the same but the y coordinate is 4 units less
So the corresponding point is (-3, 1)
Answer:
Step-by-step explanation:
12x³ = 2²·3·x³
The greatest common factor of 12x³ and 3x² is 3x².
12x³ - 3x² = (4x - 1)3x²
