Rewrite the right side as √3/3 = 1/√3, and recall that tan(x) = 1/√3 when x = π/6. Then since tan is π-periodic, taking the inverse tan of both sides gives
where n is any integer. Solving for x, we get
and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).
Because the zeros are -3 and 2, the factors are (x+3)(x-2)
expand it: x^2+3x-2x-6= x^2+x-6
300 cookies were ordered to start.
We can tell this because we know 12% is equal to 36. Because this is true, we can set up a proportion to solve. All proportions can be set up with the small number on top and the total on the bottom. This will help you solve for the missing number, which is in this case the total number of cookies. Let x be the total number of cookies.
Percentage/total percentage = cookies/cookies total
12/100 = 36/x
Now we can cross multiply to solve.
(100)(36) = (12)(x) ----> multiply
3600 = 12x ---> divide by 12
300 = x
The slopes of two parallel lines must be identical.
We have slope
, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,
, where our point
is substituted for
.
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
Answer:
look at the picture i have sent
