Answer:
y = 5/2x + 5
y = 5/2x - 9.5
Step-by-step explanation:
We need to solve for the y in the expresion of 2x + 5y = 25

now we re-arrenge the factors in the form y = ax + b
y = -2/5x + 5
we reverse "a"
y = 5/2 + a
And now, we use a point in the other formula to solve for a:
original line:
y = 5 - 2/5x
X = 0 then Y = 5
now we solve for the general equation of the perpendicular equation:


If we use a different point we get a different formula:
original line:
y = 5 - 2/5x
X = 5 then Y = 3

An Image is attached to represent
There are mnemonic acronyms out there for reminding you how to do this. I think of it simply as using the distributive property.
(4x-3)(x+5) = 4x(x+5) -3(x+5)
then again
= (4x² +20x) + (-3x -15)
= 4x² + (20-3)x -15 . . . . . . . combine like terms
= 4x² +17x -15
Answer:A
Step-by-step explanation:
Answer:
{5π/6, 11π/6}
Step-by-step explanation:
Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.
The solution to this equation is ...
cot(θ) = -√3
so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.