Answer:no no you got it keep going your on the right path
Step-by-step explanation:
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
Katrice paid 46 dollars in total bc the free watermelon doesn't change a thing, just how many slices I would eat at the party. lol ;)
Answer:
[-4,0) ∪ [2, ∞)
Step-by-step explanation:
For piecewise function domain and range, we need to understand the difference between "(" and "[" or ")" and "]"
- The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
- The brackets ( "[" and "]" ) are use for "closed circles" in the graph.
Range is the set of y-values for which the function is defined.
Now,
The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be
[2, ∞) (infinity is always with parenthesis)
Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:
[-4,0)
This is the range, 2nd answer choice is correct.
[-4,0) ∪ [2, ∞)
