Since the equation we're looking for is parallel to another line, we can "steal" the second line's slope and use it in our equation.
Point-slope formula:
y - y1 = m(x - x1)
y - 2 = 2(x-(-1))
y - 2 = 2(x+1)
Solve for y to put into slope intercept form:
y - 2 = 2x + 2
y = 2x + 4
Answer: the 92nd term of the arithmetic sequence 739
Step-by-step explanation:
In an arithmetic sequence, consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 11
d = 19 - 11 = 8
n = 92
We want to determine the value of the 92nd term, a92. Therefore,
a92 = 11 + (92 - 1)8
a92 = 11 + 728
a92 = 739
Answer:
The exact value of tan(60°) is √(3).
Step-by-step explanation:
3(-6+2)
3(-4)
12
;( the correct
For this case we must complete squares:

We add the square of half the coefficient of the term "x",
on both sides of the equation:

According to the perfect square trinomial we have:

Rewriting the expression we have:

ANswer:
