Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
Children’s tickets are $4, adult tickets are $14
Explanation:
4a+6c=80
If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.
4a+6*4=80
4a+24=80
4a=56
14=a
So each adult ticket costs $14.
You can check by filling in $14 and $4 for each equation.
4*14+6*4=80
4*14+7*4=84
The formula of a slope:

We have the points (4, -4) and (k, -1) and the slope m = 34.
Substitute:

Answer:
(x +4)^2 + (y-2)^2 = 16
Step-by-step explanation:
We can write the equation for a circle with the formula
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
We know the center is at (-4,2) and the radius is 4
(x- -4)^2 + (y-2)^2 = 4^2
(x +4)^2 + (y-2)^2 = 16
Answer:
2.42
Step-by-step explanation: