Answer:
22-9t
Step-by-step explanation:
(7 - 3t) + 3(-2t + 5)
=
7+−3t+(3)(−2t)+(3)(5)=
7+−3t+−6t+15
=
Now you need to combine like terms.
7+−3t+−6t+15
=
(−3t+−6t)+(7+15)=
-9t+22=
22-9t
There you go.
Y-intercept: (0, -6)
x-intercept: (-8, 0)
The given sequence is
a₁, a₂, ...,

Because the given sequence is an arithmetic progression (AP), the equation satisfied is

where
d = the common difference.
The common difference may be determined as
d = a₂ - a₁
The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..
The sum of the first n terms is

Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100
Answer:
A = 19.47
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin A = 2/6
Take the inverse sin of each side
sin ^-1 ( sin A) = sin ^-1 (2/6)
A =19.47122063
To the nearest hundredth
A = 19.47