One positive integer is 6 less than another. The product of the two integers is 55. What are the
integers?
Separate the answers with a comma.

Step-by-step explanation:

Put x as y-6 in the second equation.

Factor.

It has to be a positive integer.

Substitute y as 11.

5, 11.

Step-by-step explanation:

If the larger integer is x then the smaller one is x - 6.

Also x(x - 6) = 55

x^2 - 6x = 55

x^2 - 6x - 55 = 0

(x - 11)(x + 5) = 0

x = 11, -5.

We are given that x is positive so its value is 11.

The 2 integers are 5 and 11.

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:

the opening of this porabola is facing up

step-by-step explanation: