If you plot these points on a coordinate plane, you see that both vertices and foci lie on the y axis. This means that you have a vertical hyperbola, and the equation looks like this:
where h and k are the center. When you look at your graph, the origin is dead center between the vertices. (0, 0) is our h and k. Now we need a, b, and c. a is the distance between the center and the vertices, so our a = 4, and c is the distance between the center and the foci, so our c = 5. Use these in Pythagorean's Theorem to solve for b:
and
and b = 3. So we have all we need to do is replace all the variables. Our equation then would be this one:
or, simplified,
There winning rate is 12/18=2/3. So if they continue at that same rate they will win:
162(2/3)=108 times
Answer:
D 24
Step-by-step explanation:
Estimation: " 180 ".
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Note:
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Estimation:
10² * 1.8 = 100 * 1.8 = 180 .
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Answer:
6:00 or 6 o'clock
Step-by-step explanation:
1) Add 2 to the hours. So, 3+2=5
2) Add 15 minutes to 45 minutes. So, 15+45=60
3) 60 minutes is an hour, so therefore add one more hour. 5+1=6
4) There are 6 hours and 0 minutes.
So, the time that Renita finished her homework was 6:00.
Hope this helps!! ~Carley R.