Answer:
It's B, -11/12
Step-by-step explanation:
9514 1404 393
Answer:
x ≠ 3
Step-by-step explanation:
In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.
The domain is all real numbers except x=3.
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<em>Additional comments</em>
It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.
Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4
Answer:
[?] = 4
(the complete term is 
)
Step-by-step explanation:
Answer: The required equation for points P is 
Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).
To find the equation for points P such that the distance of P from both A and B are equal.
We know that the distance between two points R(a, b, c) and S(d, e, f) is given by
Let the point P be represented by (x, y, z).
According to the given information, we have
![PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.](https://tex.z-dn.net/?f=PA%3DPB%5C%5C%5C%5C%5CRightarrow%20%5Csqrt%7B%28x-0%29%5E2%2B%28y-1%29%5E2%2B%28z-2%29%5E2%7D%3D%5Csqrt%7B%28x-6%29%5E2%2B%28y-4%29%5E2%2B%28z-2%29%5E2%7D%5C%5C%5C%5C%5CRightarrow%20x%5E2%2By%5E2-2y%2B1%2Bz%5E2-4z%2B4%3Dx%5E2-12x%2B36%2By%5E2-8y%2B16%2Bz%5E2-4z%2B4~~~~~~~%5B%5Ctextup%7BSquaring%20both%20sides%7D%5D%5C%5C%5C%5C%5CRightarrow%20-2y%2B1%3D-12x-8y%2B52%5C%5C%5C%5C%5CRightarrow%2012x%2B6y%3D51%5C%5C%5C%5C%5CRightarrow%204x%2B2y%3D17.)
Thus, the required equation for points P is
