Factor the following polynomial x^2-9

(x+3)(x-3)

Step-by-step explanation:

We know that

So, here we have x² and 9, which can be written as 3².

Therefore, we can have x=a and 3=b

So we get

(x+3)(x-3)

To check that we are correct, we can expand the brackets:

x²-3x+3x-9

=x²-9

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.