X^2-6x+9
x^2-3x-3x+9
x(x-3)-3(x-3)
(x-3)(x-3)
(x-3)^2
Interval notation tells you what values where the function is defined. It’s defined all the way from negative infinity to positive 2, then there’s a gap all the way to positive 8, then we continue on to positive infinity. So x, would be literally every single number besides the number between 2 and 8. Oh and don’t forget that brackets mean included, so 2 is also a value that’s acceptable.
x is less than or equal to 2
and
x is greater than 8
Answer:

Step-by-step explanation:
Let the smaller number be
. Since they are consecutive even numbers, the larger number can be represented by
.
Therefore, we have the following equation:

Thus, the larger number is 
Answer:
12.9 yd
Step-by-step explanation:
It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.
For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.




