You have to find the angle for it try it!!!!!!!!!!
Answer:

Step-by-step explanation:
The standard equation of a horizontal hyperbola with center (h,k) is

The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is
.



The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is 
We need to use the relation
to find
.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)





We substitute these values into the standard equation of the hyperbola to obtain:


Answer:
There are 6,296 children at the carnival
Step-by-step explanation:
The number of each group of people can be expressed as;
Number of boys (b)+number of adults (a)=7,052
b+a=7,052....equation 1
Number of girls (g)=Number of adults (a)-756
g=a-756....equation 2
But Number of girls (g)=number of boys (b)
Replacing the value of b in equation 1 with that of g in equation 2;
(a-756)+a=7,052
a+a=7,052+756
2 a=7,808
a=7,808/2
a=3,904
Replace the value of a in equation 2 with 3,904
g=3,904-756
g=3,148
But since g=b
g=b=3,148
b=3,148
Total number of children=Total number of boys (b)+total number of girls (g)
Total number of children=b+g
where;
b=3,148
g=3,148
replacing;
Total number of children=(3,148+3,148)=6,296
There are 6,296 children at the carnival
Answer:
Explicit tn = 52 + (n - 1)*(-12)
Recursive = tn = t(n - 1) - 12
Step-by-step explanation:
The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.
t3 = 28
t2 = 40
d = t3 - t2
d = 28 - 40
d = - 12
Explicit
tn = a1 + (n - 1)*d
a1 = 52
d = - 12
tn = 52 + (n - 1)*(-12)
<em><u>Example</u></em>
Find t5
t5 = 52 + (5 - 1)*(-12)
t5 = 52 + 4 * - 12
t5 = 52 - 48
t5 = 4
Recursive
tn = t(n - 1) - 12
<em><u>Example</u></em>
t5 = t4 - 12
t5 = 16 - 12
t5 = 4 just as it did before.