Answer and Step-by-step explanation: <u>Distributive</u> <u>Property</u> describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:
11(2 + 4)
11(6) = 66 22 + 44 = 66
So, for the expression that represents the area:
5.5(7.5 + x) = 41.25 + 5.5x
As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.
The expressio for area of a rectangular mural is 41.25 + 5.5x.
So to write it out using order of operations it would be -7sinx+7sin^2x-(-7cos^2x). This would then equal 7-7sinx which can be simplified to 7(1-sinx). the way you were able to get rid of the cos^2x and the sin^2x is because cos^2x+sin^2x=1.