Answer:
Leg1 = 9 and leg2 = 12
Step-by-step explanation:
<u>Points to remember</u>
<u>Pythagorean theorem</u>
Hypotenuse² = Base² + Height²
<u>To find the length of each leg</u>
It is given that, hypotenuse = 15 feet
Let base = x the height = x +3
By using Pythagorean theorem we can write,
Hypotenuse² = Base² + Height²
15² = x² + (x + 3)²
225 = x² + x² + 6x + 9
2x² + 6x + 216 = 0
x² + 3x + 108 = 0
By solving we get x = 9 and x -12
Therefore one leg = 9 and other leg = 9 + 3 = 12
Answer:

Or if you want with the value of h too.

Step-by-step explanation:

Find the value of h and k by using the formula.

From y = x²-2

Substitute these values in the formula.

Therefore, h = 0.

Therefore, k = - 2.
From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation.

These type of equation where b = 0 can also be both standard and vertex form.
domain is the numbes you are allowed to use for x
what I usually do is just find the numbers that aren't allowed in the domain. such numbers are numbers that cause a division by 0 or a squaer root of a negative number
given
, there are no numbers that you can use for x that will cause a division by 0 or a square root of a negative number
so domain is all real numbers or D={x | -∞<x<∞}