Answer:
y = x - 10
Step-by-step explanation:
Find the slope:
-4 - (-8) ÷ 6 - 2
-4 + 8 ÷ 6 - 2
4 ÷ 4
= 1
Substitute into the slope-intercept equation:
y = mx + b
Let's use the first coordinate (2,-8) for the x and y values
m = 1
-8 = 1(2) + b
-8 = 2 + b
-2 -2
-10 = b
Write equation:
y = 1x -10 or y = x -10
Answer:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2.
Step-by-step explanation:
The graph shows the linear function. I hope this helps.
Answer:
Required volume is 
unit.
Step-by-step explanation:
Given equations of curves,
, 
substitute second in first we will get,
When 
and 
. Thus both curves intersect at the points (4,16),(-4,16). And thus 
.
Considering width of the representative rectangle as 
which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,
Now,
Length of generating box=Length of from line x=4(axis of revolution)=circumference of the shell=(4-x)
Width of box=
Hence,
![=2\pi\{144\big[x\big]_{-4}^{4}-18\big[x^2\big]_{-4}^{4}-\frac{8}{3}\big[x^3\big]_{-4}^{4}+\frac{1}{2}\big[x^4\big]_{-4}^{4}\}](https://tex.z-dn.net/?f=%3D2%5Cpi%5C%7B144%5Cbig%5Bx%5Cbig%5D_%7B-4%7D%5E%7B4%7D-18%5Cbig%5Bx%5E2%5Cbig%5D_%7B-4%7D%5E%7B4%7D-%5Cfrac%7B8%7D%7B3%7D%5Cbig%5Bx%5E3%5Cbig%5D_%7B-4%7D%5E%7B4%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Cbig%5Bx%5E4%5Cbig%5D_%7B-4%7D%5E%7B4%7D%5C%7D)
which is required volume of generating area.
Answer:
3/15
Step-by-step explanation:
