what is the prime factors of 30 and 32 and the least common multiple and the greatest common factor of the number you get for the prime factor.

PF of 30: 2, 3, 5. PF of 32: 2^5. GCF = 2, LCM = 480

Step-by-step explanation:

The prime factors of 30 are: 2, 3, and 5

The prime factors of 32 are 2, 2, 2, 2, and 2

The GCF is whatever they both have, which is 2.

The LCM is all of the factors that aren't in both numbers, so you get

2 x 3 x 5 x 2 x 2 x 2 x 2 = 480. (One of the 2s isn't used because they both have it.)

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

thus, the first answer choice, y = sec x, is the correct one