Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
Answer:
83%
Step-by-step explanation:
100 - 17 = 83
Answer:
4x + 6
Step-by-step explanation:
Given
+ 
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
+ 
Multiply the numerator / denominator of the second fraction by (x + 2)
=
+
← fractions now have a common denominator
Add the numerators leaving the denominators
= 
= 
=
← simplified sum with numerator 4x + 6
Answer:
I pretty sure it's 8cm.
Step-by-step explanation:
I multiplied 73,000 by 0.000074, which resulted in 5.402.
Then, I multiplied 73,000 by 0.000032, which resulted in 2.336.
I added the products together, which gave a sum of 7.738.
Then I rounded to the nearest whole number, which is 8, because the tenth in the decimal (.7) rounds up because it is >4.