Answer: then q→r
Explanation:
If p → q
and q →r , then you can use the law of transitivity to conclude
q→r.
That is a basic law of sillogisms.
An example will help you to understand the transivity law:
Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.
3 > 3/4
3 /4 > 15 / 20
Then, 3 > 15 /20.
This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.
Okay to split a segment in half you just need to find the midpoint of the two endpoints. Mathematically this is just the average of the coordinates of the endpoints which is:
mp=((x1+x2)/2, (y1+y2)/2)
Which in this case is:
mp=((-2+3)/2, (4+7)/2)
mp=(1/2, 11/2)
mp=(0.5, 5.5)
So the x-coordinate by itself is just 0.5, or answer c.
First equation: x=-y+8
Second equation: on the picture