Answer:
Step-by-step explanation:
(-3,-3) ; (8,-3)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-[-3]}{8-[-3]}\\\\=\frac{-3+3}{8+3}\\\\=0](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3-%5B-3%5D%7D%7B8-%5B-3%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3%2B3%7D%7B8%2B3%7D%5C%5C%5C%5C%3D0)
Slope = 0. so, the line is parallel to x-axis
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5
side^2 =240 * 0.72654 / 5
side^2 =
<span>
<span>
<span>
174.3696
</span>
</span>
</span>
/ 5
side^2 =
<span>
<span>
<span>
34.87392
</span>
</span></span>
side =
<span>
<span>
<span>
5.9054144647 </span></span></span>
Pentagon Perimeter =
<span>
<span>
<span>
5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter =
29.5270723235
</span>
</span>
</span>
Answer:
Step-by-step explanation:
2/5 + 3/7 + 1/4 = 28/140 + 60/140 + 35/140 = 123/140
Area of the entire rectangle 
Solution:
Area of the blue box = length × width

Area of the blue box 
Area of the pink box = length × width

Area of the pink box 
Area of the green box = length × width

Area of the green box 
Area of the orange box = length × width

Area of the orange box = 24
Total area of the rectangle 

Area of the entire rectangle
Answer:
Step-by-step explanation:
You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.
The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:
3M + 8V = 55
The second month: 5 movies, 2 video games, $18. Translated:
5M + 2V = 18
Solve that system of equations