Which equation has the solutions x = StartFraction negative 3 plus-or-minus StartRoot 3 EndRoot i Over 2 EndFraction?

2x2 + 6x + 9 = 0

x2 + 3x + 12 = 0

x2 + 3x + 3 = 0

2x2 + 6x + 3 = 0

Brian has an unlimited number of cents (pennies), nickels, and dimes. in how many different ways can he pay 1414cents¢ for a chocolate mint?

Adj has a total of 1075 dance and rock songs on her system. the dance selection is 4 times the size of the rock selection. write a system of equations to represent the situation.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?