Answer: (2x + 32)(2x + 25) = 1600
Step-by-step explanation:
The former length of the rectangular plot = 32 feets
The former width of the rectangular plot =25 feets
The former area of the rectangular plot is former length of the rectangular plot × former width of the rectangular plot
= 32×25 = 800 feet^2
If the area is doubled, the new area would 800 × 2 = 1600 feet^2
If an equal width of x feets was added to each side of the plot,
The new length would be (32 + 2x) feets.
The new width would be (25 + 2x) feets. The 2x is due to the fact that there are 2 lengths and 2 widths
The new area would be
(2x + 32)(2x + 25) = 1600
Answer:
1 x 10^21
Step-by-step explanation:
The initial number (2 x 10^4) is in scientific notation. Scientific notation must be written as: a X 10^n, where 0<a<10 and n is an integer. In this case, the number in scientific notation is being raised to the power of 5. When we raise a power by another power, we must multiply the power of all the terms by the additional power. In this case, we would get 2^5 x 10^20, this would be 10 x 10^20. Since the value of 'a' needs to be greater than 0 and less than 10, we need to move the decimal to the left and add another power to our 10: 1 x 10^21.
Step-by-step explanation:
12. n^2+2n
if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.
13. 8-2(2^n)
if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.
Hope that helps :)
