Answer:
Step-by-step explanation:
a) r = √(1² + (-5²)) = √26 = 5.09901...
θ = tan⁻¹(-5/1) = 4.9097... radians
(5.1, 4.9)
b) r = - 5.09901...
θ = 4.9097... - π = 1.76819...
(-5.1, 1.8)
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = 3
b = -2 So substitute/plug it into the equation
y = mx + b
y = 3x + (-2)
y = 3x - 2 Your answer is the 2nd option
15x³z + 30x² - 18yz - 9xyz² =
= 15x³z + 30x² - 9xyz² - 18yz =
= 15x²(xz + 2) - 9yz(xz + 2) =
= (15x² - 9yz)(xz + 2)