(5k-3)9+k) what is the value of k

Set the factors equal to 0.

(5k - 3)(9 + k) = 0

The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero.  In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:

5k - 3 = 0

5k = 3

k = 3/5

9 + k = 0

k = -9

The value of k is 3/5 and -9.

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:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry