Answer:
Step-by-step explanation:
Two consecutive integers be x and (x+1)
x + x +1 = 7²
2x + 1 = 49
2x = 49 - 1
2x = 48
x = 48/2
x = 24
The consecutive integers are: 24,25
Answer:
Step-by-step explanation:
x + 3y = 24.....multiply by -1
5x + 3y = 36
------------------
-x - 3y = -24 (result of multiplying by -1)
5x + 3y = 36
------------------add
4x = 12
x = 12/4
x = 3 <=======
x + 3y = 24
3 + 3y = 24
3y = 24 - 3
3y = 21
y = 21/3
y = 7 <========
Answer:
Step-by-step explanation:
In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3. Thus, the slope of the line connecting the first two points is m = 3/5.
In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5. Thus, the slope of the line connecting the first two points is m = -5/3
Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.
