Answer:
the answer of this question is
x is equal to the y to the power ➖ 1
When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute 
and 
into the equation above:
Since 
= -2 and 
= -8 , after simplification we have:
The solution of this system is:
The general term is :
1) a. x = number of cars
b. x - 12
2) a. x = number of packages
b. 16 + 1/2x
3) a. x = number of coins
b. 1/2x - 6
4) 17 + x = 78
Subtract 17 from each side.
x = 61
5) x - 33 = 78
Add 33 to each side.
x = 111
6) x * 84 = 327.6
Divide each side by 84
x = 3.9
7) 1333/8.6 = 155
The speed was 155mph.
8) 2475/110 = 22.5
The trip took 22 and a half hours. (Or "The trip took 22.5 hours."
The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
