George is building a large model airplane in his workshop. If the door to his workshop is 3 ft wide and 6 1/2 ft high and the ai
1 answer:
You might be interested in
If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal: 
. a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem. 
and 
. Now we have everything we need to rewrite the equation: 
First, let's convert 0.77 to a fraction.
Multiply by 100
Now make the denominators the same, to make it easier to find which fraction is greater. We can do this by finding the LCM of the denominators, then however many times the denominator goes into that number, we multiply the numerator by the same amount.
For example, the LCM of 100 and 6, is 300. 6 goes into 300 50 times, so the numerator for 4/6 is 200 (4 x 50 = 200). :)
The answer is 0.77 is greater than 4/6. :)
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Multiply by 100
Now make the denominators the same, to make it easier to find which fraction is greater. We can do this by finding the LCM of the denominators, then however many times the denominator goes into that number, we multiply the numerator by the same amount.
For example, the LCM of 100 and 6, is 300. 6 goes into 300 50 times, so the numerator for 4/6 is 200 (4 x 50 = 200). :)
The answer is 0.77 is greater than 4/6. :)
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)