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:

height (h) = 5 cm
Step-by-step explanation:
Volume of prism in terms of h (height):


Multiply both sides by 3


Divide both sides by s^2



Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:



Height = 5 cm
In Line 2, Madeline subtracted one from -7, she was supposed to add 1. UR WELCOME!!!
Find a common denominator by multiplying the two different denominators by each other to get 15. 2/3 then becomes 10/15 and 4/5 becomes 12/15.
You now have 4 and 10/15 minus negative 1 and 12/15. Subtracting a negative number results in addition, so it's 4 and 10/15 PLUS 1 and 12/15. You get 5 and 22/15, which becomes 6 and 7/15.
The answer is C.