Answer:
for 10. a
for 11. f.
Step-by-step explanation:
1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
All Reals
1b) The function gives no output values below -3, but it gives output values of -3 and all above that. Its range is ...
y ≥ -3
1c) For values of x less than -1, the function's output is 1. This matches g(x) and s(x). At x=0, the function's output is -3, which only matches g(x). The appropriate choice is ...
g(x)
2b) The function is only defined for 0 ≤ x < 8. This is its domain.
3) A definition might be ...
The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates
and
, the slope of the line passing through the two points is given by the equation

In this problem, the coordinates of the two points are:

and

which means:

Substituting all these values into the equation of m, we find the slope of the line:

The slope is infinite: this is because the line is vertical.
Learn more about slope of a line:
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1.7,5-1,5=6
2.10-11=-1
3.6×-1=-6
4.-6+2=-4
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:

Note that
and
are the legs of the triangle and
is the hypotenuse:
Substitute the lengths of the sides into the equation:


Therefore this triangle is a right triangle.