determine the value of theta, an angle in standard position, where  $\sin$sin theta= -1/2 and tan theta = $\sqrt{3}\div3$√3÷3 ,  $0^{\circ}\le theta<360^{\circ}$0^?≤theta<360^? 

a canopy tour co. designs a zip line . one line takes the passenger through a waterfall  the max height which is 167 ft. the zip line starts at 130 ft and goes to ground at 100 ft out. the water fall starts at 167 ft and hits ground at 75 ft our. what are th system of equations to model these

A quadratic function has zeros at -3/2 and 6. The graph of the function passes through the points (1,-12.5). What is the equation of the function, in standard form?

-5(4+8y)=20

identify the arithmetic sequences. For

those that are not arithmetic, be sure to indicate why not.

14, 14+p, 14+2p, 14+3p....

Is 4x² + 8x + 12    factorable?

If so how can I tell whether it is or not?

  Solve the equation . Show all work, and verify the solution(s).

  $\sqrt{2x-5}-4=-x,x>5\div2$√2x−5−4=−x,‍x>5÷2  

A new annual festival In the first year, the festival had 25 participants. It is expected that the number of people attending the festival will double every year.

Determine a quadratic function with each set of characteristics.

x-intercepts of 2 and 7 and a maximum value of 25. 

Factor:

a^2 + 6ab + 5b^2 

and

x^2 - 10xy + 25y^2

how do I factor out when there are two different variables? 

Thanks!