Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
Opposites.
Their sum is zero so they are called opposites.
Answer:
y = 3/4x + 19
Explanation:
First we need to write the equation in the form y=mx+c:
3x-4y=6
-4y=-3x+6
y=3/4x-3/2
Because the lines are parallel, we can deduce that the gradients (m) are equal. That means that the gradient of our new equation will also be 3/4.
We will now use the following equation:
y - y1 = m(x - x1)
We will substitute in the new line’s gradient as well as the coordinates we were given:
y - 10 = 3/4(x + 12)
Now we solve this equation into the form y=mx+c:
y - 10 = 3/4x + 9
y = 3/4x + 19
