Answer:
see explanation
Step-by-step explanation:
the translation (x, y) → (x - 4, y + 7)
means subtract 4 from the x-coordinate and add 7 to the y-coordinate of the original coordinate points
R(0, - 4 ) → R'(0 - 4, - 4 + 7 ) → R'(- 4, 3 )
S(- 2, - 1 ) → S'(- 2 - 4, - 1 + 7 ) → S'(- 6, 6 )
T(- 6, 1 ) → T'(- 6 - 4, 1 + 7 ) → T'(- 10, 8 )
Step-by-step explanation:
√3 I think check the answer for sure
Answer: The 25th term of the sequence is 75
Step-by-step explanation:
The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.
Tn = a + (n-1)d
Tn = The value of the nth term of the arithmetic sequence.
a = first term of the sequence.
d = common difference (difference between a term and the consecutive term behind it)
n = number of terms in the sequence.
From the information given,
a = 3
d = 5-3 = 7-5 = 2
We want to look for the 25th term, T25
So n = 25
T25 = 3 + (25-1)2 = 3+ 24×2
T25 = 3 + 72 = 75
Step-by-step explanation:
Below is an attachment containing the solution.
Answer:
x + 2, x ≠ -2
Step-by-step explanation:
Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2. The quotient is x + 2, which in this problem has been named h(x).
The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.
