Início = 6 h
9 x 6 = 54
6:54 passou o nono ônibus
próximo ônibus = 6:54 + 9 = 7:03
próximo = 7:03 + 9 = 7:12
próximo = 7:12 + 9 = 7:21
você chegou às 7:16 e vai esperar 21-16 = 5 minutos
Answer:
![a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}](https://tex.z-dn.net/?f=a.%5C%20m%3D2%2C%5C%20%5Ctext%7Bthe%20line%20is%20rising%7D%5C%5C%5C%5Cb.%5C%20m%3D-%5Cdfrac%7B5%7D%7B4%7D%2C%5C%20%5Ctext%7Bthe%20line%20is%20falling%7D%5C%5C%5C%5Cc.%5C%20m%3D0%2C%5C%20%5Ctext%7Bthe%20line%20is%20horizontal%7D%5C%5C%5C%5Cd.%5C%20m%5C%20is%5C%20unde%20fined%2C%5C%20%5Ctext%7Bthe%20line%20is%20vertical%7D)
Step-by-step explanation:
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
If
m > 0, then a line is rising
m < 0, then a line is falling
m = 0, then a line is horizontal
m is undefined, then a line is vertical
<h2>a.</h2>
(2, 1) and (4, 5)
![m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B5-1%7D%7B4-2%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D2%3E0%5Cto%5Ctext%7Brising%7D)
<h2>b.</h2>
(-1, 0) and (3, -5)
![m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-5-0%7D%7B3-%28-1%29%7D%3D%5Cdfrac%7B-5%7D%7B4%7D%3D-%5Cdfrac%7B5%7D%7B4%7D%3C0%5Cto%5Ctext%7Bfalling%7D)
<h2>c.</h2>
(2, 1) and (-3, 1)
![m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1-1%7D%7B-3-2%7D%3D%5Cdfrac%7B0%7D%7B-5%7D%3D0%5Cto%5Ctext%7Bhorizontal%7D)
<h2>d.</h2>
(-1, 2) and (-1, -5)
![m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-5-2%7D%7B-1-%28-1%29%29%7D%3D%5Cdfrac%7B-7%7D%7B0%7D%5C%20%5Ctext%7BUNDEFINED%7D%5Cto%5Ctext%7Bvertical%7D)
You would obviously only be able to create two sandwiches with the given information.
Answer:
Pencils to erasers: 18:12 18/12 18 to 12
Pens to markers: 9:6 9/6 9 to 6
Step-by-step explanation:
Hope this helps!