Earth volume: (3/4).π.(6371)³ = 1,0832x10¹² km³
Pluto volume: (3/4).π.(1171)³ = 6,555,189,765 km³
How many spheres the size of Pluto does it take to have the same volume as earth?
volume Earth/ volume Pluto = 1,0832x10¹² / 6,555,189,765 = 165.25
Consider the expression ![n^2+16n-64.](https://tex.z-dn.net/?f=n%5E2%2B16n-64.)
Since
![D=b^2-4ac=16^2-4\cdot (-64)=256+256=512,\\ \\\sqrt{D}=16\sqrt{2},](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%3D16%5E2-4%5Ccdot%20%28-64%29%3D256%2B256%3D512%2C%5C%5C%20%5C%5C%5Csqrt%7BD%7D%3D16%5Csqrt%7B2%7D%2C)
then
![n_1=\dfrac{-16+16\sqrt{2}}{2}=-8+8\sqrt{2},\ n_2=\dfrac{-16-16\sqrt{2}}{2}=-8-8\sqrt{2}.](https://tex.z-dn.net/?f=n_1%3D%5Cdfrac%7B-16%2B16%5Csqrt%7B2%7D%7D%7B2%7D%3D-8%2B8%5Csqrt%7B2%7D%2C%5C%20n_2%3D%5Cdfrac%7B-16-16%5Csqrt%7B2%7D%7D%7B2%7D%3D-8-8%5Csqrt%7B2%7D.)
Therefore, the factored form of
is ![(n+8-8\sqrt{2})(n+8+8\sqrt{2}).](https://tex.z-dn.net/?f=%28n%2B8-8%5Csqrt%7B2%7D%29%28n%2B8%2B8%5Csqrt%7B2%7D%29.)
(X + 5)(x+3) in factored form
So x + 5 = 0 and x + 3 = 0, therefore,
X = -5 and x = -3
Yes it does. If you divide each of the y values by their corresponding x values you will see a pattern. If this pattern is the same number over and over, it is the same ratio.
Answer:
-50x+40
Step-by-step explanation: