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:
The coordinates of N are (-3,-8)
Step-by-step explanation:
Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
we have;
m = 3 and n = 4
M is (x1,y1) while N is (x2,y2)
we have;
(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)
(x,y) = (-48 + 27)/7, (-20 -36)/7
(x,y) = (-21/7 , -56/7)
(x,y) = (-3,-8)
8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!
Answer:
(-5,4)
Step-by-step explanation:
My answer is probably incorrect .-. ._. but I tried my best :) and this is what I got
Hope This Helps
Answer:
nooooooo
Step-by-step explanation:
nooooo. vhjggbbb
