The geometric mean is defined as the nth root of the product of n numbers.
This means, you multiply all the numbers together
5×8=40
And then you take the nth root of that number. In this case, it's the square root, but if there were more numbers, like three or four, it would be the cube and fourth root, respectively.
√40 = 6.32455532
So, the geometric mean of 5 and 8 is 6.32455532
Answer:
y = 2x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 2, 0 ) into the partial equation
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = 2x + 4 ← equation of line
Well it is gonna be compressed inward and down 6 post the graph
Step-by-step explanation:
The given expression is :
![(\sqrt[3]{128} )^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B128%7D%20%29%5Ex)
We need to solve the above expression.
According to one of the law of indices,
![(\sqrt[a]{m} )^b=(\sqrt{m})^{b/a}](https://tex.z-dn.net/?f=%28%5Csqrt%5Ba%5D%7Bm%7D%20%29%5Eb%3D%28%5Csqrt%7Bm%7D%29%5E%7Bb%2Fa%7D)
Using above property,
![(\sqrt[3]{128} )^x=(128)^{x/3}\\\\=(64\times 2)^{x/3}\\\\=4(2)^{x/3}\ (\because\ \sqrt{64}=4) \\\\=4(\sqrt[3]{2})^x\\\\=4(2^{1/3})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B128%7D%20%29%5Ex%3D%28128%29%5E%7Bx%2F3%7D%5C%5C%5C%5C%3D%2864%5Ctimes%202%29%5E%7Bx%2F3%7D%5C%5C%5C%5C%3D4%282%29%5E%7Bx%2F3%7D%5C%20%28%5Cbecause%5C%20%5Csqrt%7B64%7D%3D4%29%20%5C%5C%5C%5C%3D4%28%5Csqrt%5B3%5D%7B2%7D%29%5Ex%5C%5C%5C%5C%3D4%282%5E%7B1%2F3%7D%29%5Ex)
Hence, this is the required solution.
5/8 = 0.625
7/10 = 0.7
the 2 ratios are different so it would not be similar
