Factor out the cosθ:
cosθ (2sinθ + sqrt3) = 0
Therefore, the only ways this can happen are if either cosθ = 0 or if (2sinθ + sqrt3) = 0
The first case, cosθ = 0 only at θ = pi/2, 3pi/2.
The second case, (2sinθ + sqrt3) = 0 simplifies to:
sinθ = (-sqrt3)/2
θ = 4pi/3, 5pi/3
Therefore the answer is A.

7 0

3 years ago

If f(x) = 3x2 + 2 and g(x) = x2 – 9, find (f – g)(x).

hoa [83]

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 + 2 and g(x) = x^2 – 9

(f – g)(x) = 3x^2 + 2 -( x^2 – 9)

Distribute the minus sign

3x^2 + 2 - x^2 + 9

Combine like terms

2x^2 +11

8 0

3 years ago

7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Wittaler [7]

So we have the system of equations:
$7+2y=8x$ equation (1)
$3x-2y=0$ equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for $x$ in equation (2):
$3x-2y=0$
$3x=2y$
$x= \frac{2}{3}y$ equation (3)

Replacing equation (3) in equation (1):
$7+2y=8x$
$7+2y=8( \frac{2}{3} y)$
$7+2y= \frac{16}{3} y$
$7= \frac{10}{3} y$
$y= \frac{7}{ \frac{10}{3} }$
$y= \frac{21}{10}$ equation (4)

Replacing equation (4) in equation (3):
$x= \frac{2}{3}y$
$x=( \frac{2}{3} )( \frac{21}{10} )$
$x= \frac{7}{5}$

We can conclude that the solution of our system of equations is (7/5, 21/10)

5 0

3 years ago

Plz help me well mark brainliest if correct!!...

Nata [24]

Answer:
a) 103

explanation:
it occurred the most in the stem & leaf plot (3 times)

4 0

2 years ago