⓵
When multiplying several factors together, an even number of negative signs will result in a positive answer.
↠ Because when you multiply two negative signs together, the negative signs turn into a positive sign, giving you a positive answer.
↠ If you have an even number of negative signs to multiply, then all your negative signs will be turned into positive signs, giving you a positive answer!
⓶
When multiplying several factors together, an odd number of negative signs will result in a negative answer.
↠ Because when you multiply a negative sign by a positive sign, the negative sign always wins, giving you a negative answer.
↠ If you har an odd number of negative signs to multiply, this means that once you are done multiplying all of the negative signs together except for the last one, you will be multiplying a positive sign with a negative sign.
↠ Here’s another way to see it : if you have 5 negative signs to multiply together, you will start by multiplying the first 2, which will give you a positive result. Then you will multiply the third and the fourth negative signs together, which will also give you a positive result. By that time, you will have two positive signs and one negative sign left, which means you will have no choice but to multiply a positive sign by the last negative sign, resulting in a negative answer!
I hope this helps! If you need a visual example, just tell me, it will be my pleasure! ☻
Answer:-13
Step-by-step explanation:
Step-by-step explanation:
we cannot "solve" it, as we don't know anything about y or k, by we can "simplify" it.
as multiplication is commutative, we can split the whole expression into multiplication factors, simplify each factor, and then out the results back together as one large multiplication.
and remember for the simplification of exponents, multiplying terms with the same base means adding the exponents, dividing terms with the same base means subtracting the denominator exponent from the numerator exponent.
and a^-b = 1/(a^b).
so, we could see the main expression as
(-4/-8)×(y⁶/y⁹)×(k²/k⁵)
(-4/-8) = 1/2
(y⁶/y⁹) = y^-3 = 1/y³
(k²/k⁵) = k^-3 = 1/k³
because e.g.
y⁶/y⁹ = (y×y×y×y×y×y)/(y×y×y×y×y×y×y×y×y) = 1/(y×y×y)
putting the results back together gives us
1/2 × 1/y³ × 1/k³ = 1/(2y³k³)
First let's assume that the table contains points on a straight line. Then all we have to do is to determine the slope of that line.
Suppose we go from (0,3) to (7,-28.5).
-28.5-3 -31.5
Then the slope, m, is m = ------------- = ---------- = - 9/2, or - 4.5.
7-0 7
Let's check this result!
Suppose that y = mx + b governs the relationship between x and y.
Then y = -4.5x + b
suppose we find b by substituting the coordinates from the point (0,3):
3 = -4.5(0) + b
Then b = 3, and y = -4.5x + 3. Does the point (-2,12) satisfy this equation?
Does 12 = -4.5(-2) + 3? Does 12 = 9 + 3? YES.
So y = -4.5x + 3 is the equation from which these points came, and the rate of change of y with respect to x is the slope m = -4.5, or m = -9/2.
Answer:
640pi
Step-by-step explanation:
440pi + 200pi= 640pi