Multiply the first equality by 3/2 and you get the second
There are thus an infinite number of solutions : x can be any number and y=2-3x/4
Answer:
19 cm
Step-by-step explanation:
Given :
Volume, V = 205 to the √3 = 205^√3
Height, h = 8.9
radius, r
Volume of cylinder:
V = πr²h
205 to the square root of 3 10094.275
company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water bottle?
10094.275 = π * r² * 8.9
10094.275 = 3.14 * 8.9 * r²
10094.275 = 27.946r²
r² = 10094.275 / 27.946
r² = 361.20643
r = √361.20643
r = 19 cm
Solution
Given the quadratic equation
we need to find the zeros of the equation
To do that, we use the completing the square method
Step 1. Add 38 to both sides
Step 2: add the square of half of the coefficient of x to both sides
That is;
Step 3: Simplify the above expression;
![\begin{gathered} \Rightarrow x-1=\pm\sqrt[]{39} \\ \\ \Rightarrow x=1\pm\sqrt[]{39} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CRightarrow%20x-1%3D%5Cpm%5Csqrt%5B%5D%7B39%7D%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%3D1%5Cpm%5Csqrt%5B%5D%7B39%7D%20%5Cend%7Bgathered%7D)
