A painter placed a 29-foot ladder against the side of a house. If the top of the ladder reaches 21 feet up the side of the house, what is the distance from the base of the house to the base of the ladder?

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The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm

The relative growth rate for a certain type of fungi is 60% per hour.a small culture has formed and in just 6 hours the count shows to be 20,273 fungi in the culture.what is the initial number of fungi in the culture?