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mash [69]
3 years ago
11

I need help in sovling this probelm. simplify (2xyz)^0

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
5 0
Anything raised to the 0 power = 1
Shalnov [3]3 years ago
5 0
The answer is:  [A]:  " 1 " . 
_______________________________________________________
 Since anything raised to the "0" exponent is equal to "one (1)" .
_______________________________________________________
The exception is that "0" raised to the "0" is "undefined".
_______________________________________________________
So, the correct answer is:  [A]:  " 1 " . 

         {assuming that "x ≠ 0, y ≠ 0, and  z ≠ 0} .  At any rate, Choice [A]:  "1" ;  is the BEST answer among the answer choices given; and as such, the CORRECT answer.}.
_________________________________________________

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Hope this helps!

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3 years ago
Using a directrix of y = −2 and a focus of (1, 6), what quadratic function is created? Question 3 options:
deff fn [24]

If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is (x-h)^2=4p(y-k) where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p: (x-1)^2=4(4)(y-2). Simplifying a bit gives us (x-1)^2=16(y-2). We can begin to isolate the y by dividing both sides by 16 to get \frac{1}{16}(x-1)^2=y-2. Then we can add 2 to both sides to get the final equation f(x)=\frac{1}{16}(x-1)^2+2, choice 4 from above.

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