Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = 
- 
= 
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
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The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
Answer:
B
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
p = 180° - (80 + 20)° = 180° - 100° = 80° and
q = 180° - (45 + 55)° = 180° - 100° = 80°
Thus p = q → B
Answer:
I gave you most of the answer. I'll let you check my work and find the point using the solution.
Step-by-step explanation:
The first thing we do is we divide by negative one in the first equation to get
y = -x.
-3x + 3y = -36
Plug in y = -x and get
-3x + 3(-x) = -36
= -3x - 3x = -36
This equals -6x = -36
divide both sides by -6 and you get 6. 6 is your x value
Plug 6 back in to the second equation.
-3x + 3y = -36
-3(6) + 3y = -36
-18 + 3y = -36
3y = -18
y = -6
Answer:
Option A is the correct answer.
Step-by-step explanation:
Here we need to factorize x²+3x−18
The coefficient of x is 3 and the constant is -18
Which means
The sum of factors is 3
The product of factors is -18
The factors satisfying are 6 and -3
Here the factors are given in the type (x+)(x−)
So the value after plus is 6 and value after - is 3
Option A is the correct answer.
