Amodel house that runs completely on renewable energy uses 22 windmills and 33 solar panels. each windmill generates mm kilowatt-hours (kwh) of energy per year, ad each solar panel generates ss kwh per year. which expressions can we use to describe how many kwh of energy the model house will output in 1010 years?

Total energy output in 1010 years = (22·M + 33·S) × 1010 kWh

Step-by-step explanation:

Number of windmills in the model house = 22

Energy generated by one windmill per year = M kWh

Energy generated by 22 windmills per year = 22 × M kWh

Number of solar panels in the model house = 33

Energy generated by one solar panel per year = S kWh

Energy generated by 33 solar panels per year = 33 × S kWh

Now, Total energy output by 22 windmills and 33 solar panels in one year = (22 × M + 33 × S) kWh

Hence, Total energy output in 1010 years = (22·M + 33·S) × 1010 kWh

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: