Two polynomials are equal if the coefficients are equal.

Answer: OPTION D
Step-by-step explanation:
To solve this exercise you must use the formula for calculate the distance between two points, which is shown below:

Now, you must substitute the points given in the problem into the formula:
A(-2,-4)
B(-8,4)

Then, the result is:

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-9/15y+3/21=5/15y-14/21
Move 5/15y to the other side. Sign changes from +5/15y to -5/15y
-9/15y-5/15y+3/21=5/15y-5/15y-14/21
-14/15y+3/21=-14/21
Move 3/21 to the other side. Sign changes from +3/21 to -3/21.
-14/15y+3/21-3/21=-14/21-3/21
-14/15y=-14/21-3/21
-14/21-3/21=-17/21
-14/15y=-17/21
Multiply both sides by -15/14
-14/15y(-15/14)
Cross out 15 and 15, divide by 15 then becomes 1
Cross out 14 and 14, divide by 14 then becomes 1
1*1*y=y
-17/21*-15/14
Cross out 15 and 21 , divide by 3. 15/3=2, 21/3=7
17/7*5/14=85/98
Answer: c. y=85/98
Answer:
27,600
Step-by-step explanation:
We use the following formula:-
Number of permutations of r from n
= nPr
= n! / (n-r)!
I am assuming you don't allow repeated letters in the 4 letter codes.
Take S as the first letter. Then we have 3 letters extra out of 25 letters.
Using the above formula the possible ways of doing this is
25! / (25 - 3)!
25! / 22!
= 25*24*23
= 13800.
The same number is obtained if the first letter is a T.
So the answer is 2*13800
= 27,600