9514 1404 393
Answer:
Step-by-step explanation:
If you consider matched parentheses to identify the contents of a "bag", the multiplier outside parentheses tells you how many bags you have. When you use the distributive property, you effectively dump all those bags on the table.
Here, the expression 4(6v +4) tells you there are 4 bags and each one contains 6v and 4. When you open them all up, you have ...
4(6v +4) = 6v +6v +6v +6v +4 +4 +4 +4
Of course, we can use multiplication to simplify repeated addition, so we can also write this as ...
4(6v +4) = 4·6v +4·4 = 24v +16
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Answer:
49π
Step-by-step explanation:
Circle area: πr^2
Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.
Since we know the radius, we can put it in the formula, πr^2.
We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.
Answer:
x = 2 1/3
y = 14 / (2 1/3) = 14 / (7/3) = 14*3/7 = 42/7 = 6
y = 6
x = 4 1/5
y = 14 / (4 1/5) = 14 / (21/5) = 14*5/21 = 70/21 = 3 7/21 = 3 1/3
y = 3 1/3
x = 7/6
y = 14 / (7/6) = 14*6 / 7 = 12
y = 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
x+165 = 180
x = 180 - 165
x = 15
Answer:
-4x^2 + 237x - 675
Step-by-step explanation:
(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial
232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify
-4x^2 + 237x - 675