Answer:
Step-by-step explanation:
Let "x" be the number.
Product of 6 and x (6*x), increased by 4 = 
Product of 12 and x, (12*x), decreased by 20 = 
.
Set both expressions equal to each other and solve for x as shown below:
(equation)
Subtract 12 from both sides
Subtract 4 from both sides
Divide both sides by -6
Answer:
Step-by-step explanation:
Point-slope form of the equation of a straight line is:
(1)
The two points given in the problem are:
So, the slope of the line is given by:
And substituting into eq.(1), we find:
Taking the arcsin of both sides of the equation, you get ...
... 90° -x = {-60°, -120°}
So ...
... x = 90° -{-60°, -120°} = {150°, 210°}
The appropriate choice is ...
... 210
Answer:
The answer is option (C)=an-1+7
Step-by-step explanation:
A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term
So for the sequence -9, -2, 5, 12
The nth term is any number on the sequence and
- -2 is the a(n-1) term for -9
- 5 is the a(n-1) term for -2
- 12 is the a(n-1) term for 5
So we need to find out what we have to do to the preceding term to get the next.
To get -2 from -9 we have to add 7 to -9; -9+7=-2
To get 5 from -2 we have to add 7 to -2; -2+7=5
To get 12 from 5 we add 7 to 5; 7+5=12
So the recursive rule would be= a n-1+7
