Answer:
8x^2 + 6x + 36xy^2 + 24y^2
Step-by-step explanation:
First, multiply the two terms inside the second set of parentheses by-2x; we get 8x^2 + 6x.
Next, multiply the same two terms by -9y^2; we get 36xy^2 + 24y^2.
Now add these products together:
8x^2 + 6x + 36xy^2 + 24y^2 This is the desired product.
Answer:
√13 ≈ 3.6056
Step-by-step explanation:
The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...
c² = a² + b² - 2ab·cos(C)
c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13
c = √13 ≈ 3.6056
The length of the third side is √13, about 3.6056.
Answer:
n + 11 and 11 + n
Step-by-step explanation:
Let n be the unknown number,
n is increased by 11,
That is, n + 11
By the commutative property of addition,
The expression would be,
11 + n
For drawing a model that shows n + 11
Take two boxes in which first shows n and second shows 11 and add them,
Similarly, for showing 11 + n, take first box that shows 11 and second box that shows n then add them.
Answer:
True
Step-by-step explanation:
The slope is the ratio of rise to run for any two points on a line.
The rise is the change in vertical axis, y
Rise = y2 - y1
The run is the change in the horizontal axis, x
Run = x2 - x1
Slope is the ratio of both:
Rise / Run = (y2 - y1) / (x2 - x1)
