Answer:
infinitely many answers, any odd integer n times π/2
ex. π/2, 3π/2, 5π/2
Step-by-step explanation:
we know that cos (π/2) or cos(3π/2) is 0
if one factor is 0, the product is zero, so we will not care about csc(x).
x is any odd integer n times π/2
The answer should be -4x^2+16
Answer:
a. 3x^2 = 81
x^2 = 27
Step-by-step explanation:
Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
✔ YES THEY ARE CONFIRMED
keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?
so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)
