a.
![\purple{5 \times 6 - 4 \times ( - 3)}](https://tex.z-dn.net/?f=%20%5Cpurple%7B5%20%5Ctimes%206%20-%204%20%5Ctimes%20%28%20-%203%29%7D)
![= 30 + 12](https://tex.z-dn.net/?f=%20%3D%2030%20%2B%2012)
![\blue{ = \boxed{42}}](https://tex.z-dn.net/?f=%20%5Cblue%7B%20%3D%20%20%5Cboxed%7B42%7D%7D)
b.
![\purple{ {6}^{2} + \frac{6}{ - 3} }](https://tex.z-dn.net/?f=%20%5Cpurple%7B%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7B6%7D%7B%20-%203%7D%20%7D)
![= 36 - 2](https://tex.z-dn.net/?f=%20%3D%2036%20-%202)
![\blue{ = \boxed{34}}](https://tex.z-dn.net/?f=%20%5Cblue%7B%20%3D%20%20%5Cboxed%7B34%7D%7D)
c.
![\purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }](https://tex.z-dn.net/?f=%20%5Cpurple%7B%286%20-%205%20%7B%29%7D%5E%7B3%7D%20%20%2B%20%20%7B%28%20-%203%29%7D%5E%7B2%7D%20%7D)
![= {1}^{3} + 9](https://tex.z-dn.net/?f=%20%3D%20%20%7B1%7D%5E%7B3%7D%20%2B%209)
![= 1 + 9](https://tex.z-dn.net/?f=%20%3D%201%20%2B%209)
![\blue{ = \boxed{10}}](https://tex.z-dn.net/?f=%20%5Cblue%7B%20%3D%20%20%5Cboxed%7B10%7D%7D)
<h2>=============================</h2>
Hope it helps
<h2>=============================</h2>
For two lines to be parallel, their slope must be the same.
To find the slope, we can use the form:
![\frac{y_1 - y_2}{x_1 - x_2}](https://tex.z-dn.net/?f=%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1%20-%20x_2%7D)
For the top line, the change in height (y value) can be seen as a - 0 or simply a, and the change in base is just -b (because our
![x_1](https://tex.z-dn.net/?f=x_1)
is just 0, from the origin.
Hence, line 1's gradient is:
![-\frac{a}{b}](https://tex.z-dn.net/?f=-%5Cfrac%7Ba%7D%7Bb%7D)
Now, we can repeat this process for line 2:
Change in height is -d, change in base is c
Hence, line 2's gradient is:
![-\frac{d}{c}](https://tex.z-dn.net/?f=-%5Cfrac%7Bd%7D%7Bc%7D)
For the two lines to be parallel, both gradients must be the same:
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
with what???
Step-by-step explanation:
2.8 kilometers is 2800 meters