Choice b would be correct since the slope of the line is negative !
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
If you divide each number by the previous one, you get:
-86 / -172 = 1/2
-43 / -86 = 1/2
-21.5 / -43 = 1/2
The common ratio is 1/2 = 0.5
Answer:
x = 3
Step-by-step explanation:
-6x - 20 = -2x + 4 (1 - 3x)
Distributive property
-6x - 20 = -2x + 4 - 12x
Combine like terms
-6x - 20 = -14x + 4
Add 14x to both sides
-6x - 20 + 14x = -14x + 4 + 14x
Simplifying
8x - 20 = 4
Add 20 to both sides
8x = 24
Divide both sides by 8
x = 3
Answer:
90 minutes or an hour and a half
Step-by-step explanation:
You need to find out how many minutes it takes her to run one mile, to do that you devide 54 by 6 and you get 9 minutes. Then you multiply the number of minutes per mile, 9, by 10 and you get 90 minutes.
