Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!
Answer:
7.9%
Step-by-step explanation:
568.01/7190=0.079=7.9%
Answer:
Make sure you convert these numbers into one unit. Convert everything to yard. Just convert the feet and inches in yard since it's the biggest unit, and then add them together. You should get a fraction not a whole number.
Answer:
29000, with the margin of error of ±5000
Step-by-step explanation:
Margin of error is the amount of error that can be caused due to variation, change of circumstances or any miscalculation.
In given case value of college student's debt can be between
24000 and 34000
Finding mid-point
(24000+34000)/2
29000
Now finding deviation of 29000 from 24000 and 34000
24000-29000= -5000
34000-29000= 5000
Hence
29000, with the margin of error of ±5000 !