If x and p are both greater than zero and 4x^2p^2+xp-33=0, then what is the value of p in terms of x?
a) -3/x
b) -11/4x
c) 3/4x
d) 11/4x

Explanation:

1) Make a change of variable:

2) The new equation with u is:

3) Factor the left side of the new equation:

4) Come back to the equation replacing the left side with its factored form and solve:

5) Come back to the original substitution:

If u = - 3 ⇒ xp = - 3 ⇒ x or p is negative and that is against the condition that x and p are both greater than zero, so this solution is discarded.

Then use the second solution:

Solve for p:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

if farmer matt works for 8 hours a day, how many days will it take him to completely plant 12 rows of crops? each batch of cookies needs 3/4 cups of sugar.

step-by-step explanation: