Answer:
Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4
Step-by-step explanation:
To evaluate such, a comprehension of linear Cartesian planes are obligated:
Slopes = rise/run
X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.
Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.
Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.
Y- intercept: (4,0)
Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.
*I hope this helps.
Answer: ![260 \text{ cube cm}](https://tex.z-dn.net/?f=260%20%5Ctext%7B%20cube%20cm%7D)
Step-by-step explanation:
If the two shapes are similar then, by the property of similarity,
![\text{ The ratio of the volume of the shapes} = (\text{ the ratio of the corresponding edges})^3](https://tex.z-dn.net/?f=%5Ctext%7B%20The%20ratio%20of%20the%20volume%20of%20the%20shapes%7D%20%3D%20%28%5Ctext%7B%20the%20ratio%20of%20the%20corresponding%20edges%7D%29%5E3)
Here Prism A and prism B are similar,
⇒ ![\frac{\text{ volume of prism A}}{\text{ volume of prism B}} = (\frac{8}{4} )^3](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20volume%20of%20prism%20A%7D%7D%7B%5Ctext%7B%20volume%20of%20prism%20B%7D%7D%20%3D%20%28%5Cfrac%7B8%7D%7B4%7D%20%29%5E3)
⇒ ![\frac{ 2080}{\text{ volume of prism B}} = (2)^3](https://tex.z-dn.net/?f=%5Cfrac%7B%202080%7D%7B%5Ctext%7B%20volume%20of%20prism%20B%7D%7D%20%3D%20%282%29%5E3)
⇒ ![\frac{\text{ volume of prism B}}{2080} =\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20volume%20of%20prism%20B%7D%7D%7B2080%7D%20%3D%5Cfrac%7B1%7D%7B8%7D)
⇒ ![\text{ volume of prism B} =\frac{2080}{8}](https://tex.z-dn.net/?f=%5Ctext%7B%20volume%20of%20prism%20B%7D%20%3D%5Cfrac%7B2080%7D%7B8%7D)
⇒ ![\text{ volume of prism B} =260\text{ cube cm}](https://tex.z-dn.net/?f=%5Ctext%7B%20volume%20of%20prism%20B%7D%20%3D260%5Ctext%7B%20cube%20cm%7D)
1/3 of 2/3
Just multiply them
1/3 x 2/3 = 2/9