<em>y</em> - 1/<em>z</em> = 1 ==> <em>y</em> = 1 + 1/<em>z</em>
<em>z</em> - 1/<em>x</em> = 1 ==> <em>z</em> = 1 + 1/<em>x</em>
==> <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)
<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1
==> 2<em>x</em> ² - 1 = 2<em>x</em> + 1
==> 2<em>x</em> ² - 2<em>x</em> - 2 = 0
==> <em>x</em> ² - <em>x</em> - 1 = 0
==> <em>x</em> = (1 ± √5)/2
If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.
Answer:
Step-by-step explanation:
how many hours of sleep did you get = 7 hours
What fraction of the day is that = 7/24
What it the decimal equivalent = 0.29 ( 2 decimal point)
What is the percentage = 1.68%
If 4y-2=26 then 4y=26+2
4y=28 divide both side by 4
y=28/4=7 opt A
The answer is -51, hope this helps
Answer:
Diameter of sphere = 18 cm
Step-by-step explanation:
<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>
Diameter = 18 cm
r = 18÷ 2 = 9 cm
h = 12 cm
= π * 9 * 9 * 12 cm³
<h3>Sphere:</h3>
Solid cylinder is melted and turned into a solid sphere.
Volume of sphere = volume of cylinder
![\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}](https://tex.z-dn.net/?f=%5Csf%20r%5E%7B3%7D%3D%20%5Cdfrac%7B%5Cpi%20%2A9%2A9%2A12%2A3%7D%7B4%2A%5Cpi%20%7D%5C%5C%5C%5C%20%20r%5E%7B3%7D%3D9%20%2A%209%20%2A3%20%2A3%5C%5C%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B9%2A9%2A9%7D%5C%5C%5C%5C%20r%20%3D%209%20%5C%20cm%5C%5C%5C%5Cdiameter%20%3D%209%2A2%5C%5C%5C%5C%5Cboxed%7Bdiameter%20%5C%20of%20%5C%20%20sphere%20%3D%2018%20%5C%20cm%7D)
