In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Answer:
28. add them all together
is that a true or false kind of question or what is it meant to be?
In this item, I assume that the variable "e" here stands for the Euler number which is equal to 2.718. Raising this number to the exponent -2.8 will give us an answer of,
y = e^-2.8 = (2.718)^-2.8 = 0.0608
Therefore, the value of y is approximately 0.1.
