The Answer:<span>a=<span>0<span>2.718282
</span></span></span>
Answer: y = 3x + 1
<u>Step-by-step explanation:</u>
The equation is in Slope-Intercept format: y = mx + b where
- m is the slope <em>(difference in y's over difference in x's)</em>
- b is the y-intercept <em>(value of y when x = 0)</em>

b = 1 <em>refer to the table that shows y = 1 when x = 0</em>
Now input m = 3 and b = 1 into the Slope-Intercept formula:
y = 3x + 1
Answer:
1.30 p.M.
Step-by-step explanation:
The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.
The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.
So, you will hear them both at the same time at 1:30 p.M.
We can also solve this problem using LCM:
the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.
Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.
Answer:
67
Step-by-step explanation:
100 - 33 = 67
The difference between 100 and 33 is 67.