Answer:
32
Step-by-step explanation:
The diagonal of a square has a length of x sqrt(2), where x is the side length. This means the perimeter of the square is 4 (11.3/sqrt(2)), which means the perimeter is approx. 4*8, which is 32
5x-2x=7x+2x-24
3x = 9x -24
3x - 9x = -24
-6x = -24
x = -24/-6
x = 4
Answer:
Pretty sure it's the first one. It's the only one with the correct y-intercept and has a positive slope.
This is in fancy form, so you want to simplify it:
y = 3/4(x+4) - 6
Multiply it all,
y = 3/4x + 3/4(4) - 6
y = 3/4x + 3 - 6
y = 3/4x - 3
The first one matches.
Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.