If this is just factoring, x^2 + x - 90 turns into this:
(x - 9)(x + 10)

If your trying to solve for x, we take the factored expression and set it equal to 0.
(x - 9)(x + 10) = 0

Set each binomial into two equations.
x - 9 = 0 and x + 10 = 0

Solve for x and we get two answers.
x = 9
x = -10

4 0

2 years ago

A child rides his bicycle at 6m/s for 80 minutes. What is his distance?Don't forget the units.

kaheart [24]

13 miles or you could say 13.3 miles

5 0

2 years ago

Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. S

Dima020 [189]

Serena needs 4 teachers for the child care center.

4 0

3 years ago

If x is an integer in the first quadrant and sin(x)=3/4 find sin(2x), cos(2x), and tan(2x)

elena-s [515]

Answer:

$\sin(x) = \frac{ 3}{4} \\ {sin}^{2}(x) + {cos}^{2}(x) = 1 \\ {cos}^{2}(x) + {( \frac{3}{4} )}^{2} = 1 \\ {cos}^{2}(x) = 1 - \frac{9}{16} = \frac{7}{16} \\ cos(x) = \frac{ \sqrt{7} }{4} \\or \\ {4}^{2} - {3}^{2} = {a}^{2} \rightarrow {a}^{2} = 16 - 9 = 7 \\ a = \sqrt{7} \\ cos(x) = \frac{ \sqrt{7}}{4} \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } = \frac{ \frac{3}{4} }{ \frac{ \sqrt{7} }{4} } = \frac{3}{ \sqrt{7} } \\ \sin(2x) = 2 \sin(x) \cos(x) \\ = 2( \frac{3}{4} . \frac{ \sqrt{7} }{4} ) \\ \sin(2x) = \frac{3 \sqrt{7} }{8} \\ \cos(2x) = { \cos(x) }^{2} - { \sin(x) }^{2} \\ = 1 - 2 { \sin(x) }^{2} \\ \tan(2x) = \frac{ \sin(2x) }{ \cos(2x) }$

5 0

2 years ago