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,
Answer:
61
Step-by-step explanation:
1700/2800 = around .61 so 61%
The square root of 729 is in fact 27, as it is a perfect square, but this is not well known, so we can figure it out like this:
What goes into 729 that are perfect squares? 81 and 9:
Take the square root of 81 (9) and the square root of 9 (3). Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)
Now, just multiply:
Answer:
Slope-intercept form is y=mx+b (m = gradient, b = y-intercept)
So we want to make y the subject.
3x + 4y =-24
4y = -3x - 24
y = (-3/4)x - 6
Step-by-step explanation:
Answer:
d. 15 square yard
Step-by-step explanation: