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:
There are 17 natural numbers divisible.
First it is reflected in the x axis (beacuse the x value becomes negative but the y values stays the same)
second its dilated by a factor of a half ( the sides of the figure are reduced by a half)
then its translated 2 units to the left and 2 units upwards
Answer:
So the equation of the line that passes through (3, 1) and (0, 10) is y=-3x+10
Step-by-step explanation:
(3, 1) and (0, 10)
m=y²-y¹/x²-x¹
m=10-1/0-3
m=9/-3
m=-3
y=mx+b
y-y=m(x-x1)
y-1=-3(x-3)
y-1=-3x+9
+1 +1
y=-3x+10
