Find cot theta if csc theta= the square root of 5/2 and tan theta> 0

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

1. are the triangles similar and if so why? what is the value of x? show your work.

What is 20+(5 x 2/5 )+ 3 show your work