Answer:
Step-by-step explanation:
![V=\frac{4}{3}\pi r^3~=>r=\sqrt[3]{\frac{3V}{4\pi}}=\sqrt[3]{\frac{3*260cm^3}{4\pi}}=3.96 \approx4](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3~%3D%3Er%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A260cm%5E3%7D%7B4%5Cpi%7D%7D%3D3.96%20%5Capprox4)
We can look at this graph y=cosx+5 as a translated graph. This is the same as the standard graph y=cosx being shifted 5 units upward.
The function y=cosx has the minimum y value of -1, meaning the smallest number the graph can have on the y axis is -1. Adding 5 to -1, we have 4.
Therefore, the minimum y value of y=cosx+5 is y=4.
Answer:
The equation of the line best fit is y = x + 12
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (2, 14) and (10, 22)
∴ x1 = 2 and y1 = 14
∴ x2 = 10 and y2 = 22
→ Substitute them in the rule of the slope above to find it
∵ m = 
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = (1)x + b
∴ y = x + b
→ To find b substitute x by 2 and y by 14 in the equation
∵ 14 = 2 + b
→ Subtract 2 from both sides
∴ 14 - 2 = 2 - 2 + b
∴ 12 = b
→ Substitute it in the equation
∴ y = x + 12
∴ The equation of the line best fit is y = x + 12
Example: we multiply or divide both the top and the bottom of a fraction by the same number, it's just the same as multiplying or dividing by 1
Hope this helps! :)
~Asuka
how do you have E and D if it's a triangle?