Is 9999 in the sequence n²+2n?
1 answer:
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If p and q are both true, then
is an implication of the form
which is true, because every implication starting with false is true, i.e.
So, we're looking for an expression evaluating to true. Let's see what we have:
A) is an AND proposition. Logical AND is true only if both parts are true. So, you have
So it's not the right option.
B) is an OR proposition. Logical OR is true whenever one of the two parts is true. So, you have
So it's not the right option.
C) is again an AND proposition. You have
So this is not the right option.
D) Finally, the last one is again an implication, and again it starts with false:
So this is true, and thus is the correct option.
Answer:
-1/5
Step-by-step explanation:
What are parallel lines?
Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.
Finding the slope
We can find the slope using the following formula:
Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)
Here the given points are (-5,-1) and (0,-2)
So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1
We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2
Now we plug these values into the formula
Recall formula :
==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2
==> simplify numerator and denominator
So the slope of the line is -1/5
This means the slope of any parallel line to that line would also have a slope of -1/5