Answer:
y=(4-1-2-5)
Step-by-step explanation:
Line equation
y=0.6666666666666666x−3.666666666666667
Slope
0.67
Intercept
-3.67
Equation for x
x=−6t+4
Equation for y
y=−4t−1
Direction vector
-6
-4
Answer:
A, D, E
Step-by-step explanation:
Substitute the x and y values into the equation. If the result does not equal 24, then that coordinate point is not on the graph of 3x+2y=24.
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.
Answer:
5 units.
Step-by-step explanation:
In order to find the distance between the line y = -2x + 1 and the point (-4, 4), we need to find the position of the line at x = -4. Shortest distance between two objects is a straight line, right?
So y = -2(-4) + 1 = 9; (-4, 9).
Finding the distance between (-4, 4) and (-4, 9) gives us the answer of 5.
Any number raised to power of 0 is 1.
In (-4x)^0, because of the parenthesis, the whole number is being raided to 0, which gives 1.
But in -4x^0, only x is being raised to 0, thus -4x^0 = -4(1) = -4.
