Answer:
Step-by-step explanation:
A) Use the distributive property to eliminate parentheses. Then combine like terms. (The only "like terms" are the constants.)
... = 12 +3·2y +3·(-3) . . . use the distributive property to multiply each term in parentheses by the factor 3 outside those parentheses
... = 12 +6y -9 . . . . . . . . simplify
... = 6y + (12 -9) . . . . . . group like terms together
... = 6y + 3 . . . . . . . . . . simplify
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B) Look for factors of each term that are also found in the other term.
... 18b has factors 3×6×b
... 12 has factors 2×6
The only common factor is 6, so we factor that out using the distributive property.
... 18b -12 = 6(3b -2)
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<em>Comment on factoring</em>
For factoring problems, it helps immensely if you know your times tables and some of the rules for divisibility. (Even numbers are divisible by 2, numbers ending in 0 or 5 are divisible by 5, numbers whose sum of digits is divisible by 3 are divisible by 3, for example.)
If your question is "How many gallons of paint will he have left after painting the mural gallon", the answer is:
(11/4+11/3+7/8) * (1 - 3/4) = 175/96 gal ≈1,82 gal
In this problem, you must change the signs of everything in the parenthesis, which will come to 3x^2 + x - 5x^2 - x + 4. Add like terms, and you will end up with -2x^2 + 4, which is answer choice A. Hope this helped
Answer:
quiero
Step-by-step explanation:
Check the picture below.
so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.
![\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Areas%7D%7D%7B%5Cstackrel%7B%5Ctextit%7B4%20triangular%20faces%7D%7D%7B4%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%287.5%29%2816%29%20%5Cright%5D%7D~~%20%2B%20~~%5Cstackrel%7B%5Ctextit%7Brectangular%20base%7D%7D%7B%287.5%29%287.5%29%7D%7D%5Cimplies%20240~~%20%2B%20~~56.25%5Cimplies%20296.25~ft%5E2)
