The answer for this is B.
Answer:
4a (n-1) + 5
Step-by-step explanation:
1th=6
2nd=29
3rd=121
4th=489
.
.
nth
if n=2
a2 = 4a(2-1) + 5 = 4 a(1) + 5 = 4 (6) + 5= 29
a3 =4a(3-1) + 5 = 4 a(2) + 5 = 4 (29) + 5= 121
try finding a4, check wether the answer is 489
Answer: The argument is valid by the law of syllogism
Step-by-step explanation:
Given :-If a quadrilateral has opposite sides that are parallel, then it is a parallelogram.
A rhombus is a quadrilateral where the opposite sides are parallel.
then by law of syllogism (reasoning of transitivity) the conclusion is "A rhombus is a parallelogram."
Law of syllogism is similar to reasoning to transitivity i.e. if a=b and b=c then a=c.
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4