When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.
It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.
30 squared+ 50 squared= c squared.
900+ 2500= c squared
3400= c squared
Then find the square root of 3400 and that will equal c.
So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.
Answer:
2) y = x - 4
y = -x + 2
=> x - 4 = -x + 2
=> 2x = -6
=> x = -3
=> y = -3 - 4 = -7
3) y = 3x + 1
y = 5x - 3
=> 3x + 1 = 5x - 3
=> 2x = 4
=> x = 2
=> y = 3(2) + 1 = 7
4) 2x + y = 8 => y = -2x + 8
y = x - 7
=> -2x + 8 = x - 7
=> 3x = 15
=> x = 5
=> y = 5 - 7 = -2
The answer is 6/13 since there are 12 distinct letters in the phrase and 12/26 is written as 6/13