U multiple 2 by those two 3x and 17
2(3x-17) = 6x-34
Answer:
x = 9
Step-by-step explanation:
when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.
since vertical angles are always congruent, 3x - 8 is equal to 2x + 1
3x - 8 = 2x + 1
add 8 to each side
3x = 2x + 9
subtract 2x from each side
x = 9
check your answer:
3x - 8 = 2x + 1
3(9) - 8 = 2(9) + 1
27 - 8 = 18 + 1
19 = 19
2/9 because I know that’s it
A the slope of the line is 1
to calculate the slope m , use the ' gradient formula '
m = ( y₂ - y₁ ) /( x₂ - x₁ )
where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)
m =
=
= 1
The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
![\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cpi%20%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%5E2%20%2B%20%5Cfrac%7B0.946%7D%7B%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%7D%7D)
The given parameter is:

The volume of a cylinder is calculated as:

Make h the subject

The surface area (A) of a cylinder is:

Substitute 


Differentiate

Set to 0

Rewrite as:

Multiply through by r^2

Solve for r
![\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%7D)

So, we have:
![\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cpi%20%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%5E2%20%2B%20%5Cfrac%7B0.946%7D%7B%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%7D%7D)
Hence, the relationship between the volume and the surface area is:
![\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cpi%20%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%5E2%20%2B%20%5Cfrac%7B0.946%7D%7B%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%7D%7D)
Read more about surface areas and volumes at:
brainly.com/question/3628550