Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
Where 
is the first term, 
is the nth term, and 
is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do 
, which is 
, or the common difference. Since we have everything we need, it can be plugged into the equation:
So, the 61st term is 482.
Answer: The lenght of the missing side is 4 cm
Step-by-step explanation:
The correct question is:
<em>The perimeter of the rectangle is 20cm . One side is 6cm. What is the length of the missing side?</em>
So, to answer it we have to apply the next formula:
Perimeter of a rectangle = 2 width + 2 length
Replacing with the values given: (assuming that the side given is the length of the rectangle)
20 = 2(6) + 2x
Solving for x:
20 =12 +2x
20-12 =2x
8 =2x
8/2 =x
4=x
The length of the missing side is 4 cm
Feel free to ask for more if needed or if you did not understand something.
Answer:
what? I don't understand explain
3x^2 + 5xy - 2y^2
Simplifying:
3x^2 + 5xy + - 2y^2
Reorder Terms:
5xy +3x^2 + - 2y^2
Factor a Trinomial.
(3x + - 1y)(x + 2y)
Final Result:
(3x + - 1y)(x + 2y)
Hope this helps!!!
Answer:
K'= (-2, 4)
Step-by-step explanation:
First we are going to rotate our point 270° counterclockwise.
The rule for a 270° counterclockwise rotation is 
, which means that we just need to interchange the coordinates of the point and change the sign of the x-coordinate:
Now, to shift the point 3 units down, we just need to subtract 3 units from the new y-coordinate of our resulting point form the previous procedure:
We can conclude that the coordinates of K' are (-2, 4)
