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:
Length of AB = 6 cm
Length of the segment BC = 14 cm
Step-by-step explanation:
Here, B is a point on a segment AC.
AB : BC = 3:7
Length of the segment AC = 20 cm
Now, let the common ratio between the segment is x.
So, the length of AB = 3 x , and Length of BC = 7 x
Now, AB + BC = AC
⇒ 3x + 7x = 20
or, 10 x = 20
or, x = 2
Hence, the length of AB = 3 x = 3 x 2 = 6 cm
and the length of the segment BC = 7x = 7 x 2 = 14 cm
Answer:
Up on the left, up on the right
Step-by-step explanation:
The given function is:
The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.
The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.
Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.
Answer:
The y-intercept is 33ft.
Step-by-step explanation:
The ball is 33 feet away from the wall.
It will take the ball 11 seconds to touch the wall.
The slope is -3 feet. The ball is rolling towards the wall at 3 ft per second.
I hope this helps!
~Princess <3
Answer:
change in the total cost for each book printed = $15
cost to get started (before books are bought) = $1200
Step-by-step explanation:
IF the eqn is y = 15x +1200
where y represent the total cost of publishing a book (in dollars) and
x represent the number of copies of the book printed
then cost to get started (before books are bought) can be found by substitute x=0 into the eqn
y = 1200 + 15*0 = $1200
change in the total cost for each book printed will be the difference in total cost at x=0 and x=1
when x=0, y=1200
when x=1, y=1200+15*1=1215
so the change in total cost=$15
