Answer:
(x+1)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2
You would flip the signs of the center so that when you solve the equation it ends up in the correct place.
Mammals: If the number of Mammal exhibits is 25 and there are 75 total exhibits, the Mammal exhibits are 1/3 of the total exhibits at this Zoo. The ratio for 1/3 is 1:3, which is 25:75 in most complex form. That's 33.3 as a percentage, or 33.3%.
Reptiles: If the number of Reptile exhibits is 15 and there are 75 total exhibits, the reptile exhibits are 1/5 of the total exhibits here. The ratio for 1/5 is 1:5, which is 15:75 fully written out. This as a percentage is 20%.
I'll message you the other half of the answers.
Answer:
Step-by-step explanation:
the directrix is y=-1
I don't know what the vertex focus is.
In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)
The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).
Problem 14
Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).
There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).
Jamie can paint 6 rooms
3 divided by 1/2
3/1 * 2/1
6/1
6