Answer:
![= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )](https://tex.z-dn.net/?f=%3D%20log_%7B10%7D%28%5Cfrac%7B6%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%20%29)
Step-by-step explanation:
Given the expression ![log10\sqrt{36} + log10\sqrt{2} - log10\sqrt{7} \\](https://tex.z-dn.net/?f=log10%5Csqrt%7B36%7D%20%2B%20log10%5Csqrt%7B2%7D%20%20-%20log10%5Csqrt%7B7%7D%20%5C%5C)
According to the law of logarithm;
loga + log b = log(ab) and log a - log b = log(a/b)
The given expression becomes;
![log10\sqrt{36} + log10\sqrt{2} - log10\sqrt{7} \\= log_{10}(\frac{\sqrt{36} \times \sqrt{2} }{\sqrt{7} })\\= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )](https://tex.z-dn.net/?f=log10%5Csqrt%7B36%7D%20%2B%20log10%5Csqrt%7B2%7D%20%20-%20log10%5Csqrt%7B7%7D%20%5C%5C%3D%20log_%7B10%7D%28%5Cfrac%7B%5Csqrt%7B36%7D%20%5Ctimes%20%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%29%5C%5C%3D%20log_%7B10%7D%28%5Cfrac%7B6%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%20%29)
Answer:
standard form is Ax + By = C where A, B and C are all integers.
y=5/3x-6/8 First, multiply by LCD 24:
24y = 40x -18
40x - 24y = 18
Division by 2 is recommended (this is because 6/8 should have been reduced to 24, making LCD just 12):
20x - 12y = 9
Step-by-step explanation:
Answer:
pay attention in class
Step-by-step explanation:
936
-3
-------
=312
-------
so its 3.12
Answer:
![\boxed{Height \: of \: cylinder = 9 \: centimeters}](https://tex.z-dn.net/?f=%20%5Cboxed%7BHeight%20%5C%3A%20of%20%5C%3A%20cylinder%20%3D%209%20%5C%3A%20centimeters%7D%20)
Given:
Volume of cylinder = 576π cubic centimeters
Radius of cylinder (r) = 8 centimeters
Step-by-step explanation:
Let the height of cylinder be 'h'
![= > Volume \: of \: cylinder = \pi {r}^{2} h \\ \\ = > 576 \cancel{\pi} = \cancel{ \pi}( {8}^{2} )h \\ \\ = > 576 = 64h \\ \\ = > 64h = 576 \\ \\ = > h = \frac{576}{64} \\ \\ = > h = 9 \: centimeters](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20Volume%20%5C%3A%20%20of%20%20%5C%3A%20cylinder%20%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20576%20%5Ccancel%7B%5Cpi%7D%20%3D%20%5Ccancel%7B%20%5Cpi%7D%28%20%7B8%7D%5E%7B2%7D%20%29h%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20576%20%3D%2064h%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%2064h%20%3D%20576%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20h%20%3D%20%20%5Cfrac%7B576%7D%7B64%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20h%20%3D%209%20%5C%3A%20centimeters%20)
Height of cylinder = 9 centimeters
I hope this helps you
l=x+2
w=2x-5
(x+2)(2x-5)=56
2x^2-x-10=56
2x^2-x-66=0
2x +11
x -6
(2x+11)(x-6)=0
x=6