The length of the rectangle is 14
<u>steps:</u>
9 + 9 = 18
46 - 18 = 28
28 ÷ 2 = 14
Answer:
15
Step-by-step explanation:
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The formula for reflecting preimages about the y-axis is (-x,y). This means that you would have to switch the x-coordinate's sign on each of the coordinates. So the coordinates would be W(-2,2), X(-4,3), Y(-5,2), and Z(-4,1). Now you have to translate the image. Translating it 3 units to the right would make you add 3 to each of the coordinates. The coordinates are now W(1,2), X(-1,3), Y(-2,2), and Z(-1,1). Now, I don't know if you meant that the y-coordinate is translated up or down 4 units, so I'll do both. For up, you would add 4 to each of the y-coordinates, and the new points would be W(1,6), X(-1,7), Y(-2,6), and Z(-1,5). For down, you would have to subtract 4 from each of the y-coordinates. The coordinates would be W(1,-2), X(-1,-1), Y(-2,-2), and Z(-4,-3). Those are your possible answers. I hope this helps.
Answer:

Step-by-step explanation:
The given series is

The first term is

The last term is

To find the number of terms in the sequence, solve,


The sum of the first i-terms of an arithmetic sequence is:

We substitute the values to get;



Sum of two monomials is not necessarily always a monomial.
For example:
Suppose we have two monomials as 2x and 5x.
Adding 2x+5x , we get 7x.
So if two monomials are both like terms then their sum will be a monomial.
Suppose we have two monomials as 3y and 4x
Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x , which is a binomial.
So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.
Product of monomials:
suppose we have 2x and 5y,
Product : 2x*5y = 10xy ( which is a monomial)
So yes product of two monomials is always a monomial.