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djverab [1.8K]
3 years ago
15

Which rational number equals 0.6 repeating

Mathematics
1 answer:
irina [24]3 years ago
7 0
0.6 with the 6s repeating forever is equal to 2/3 . If the 6s ever end, even after a trillion of them, then it's close but not 'equal' to 2/3 .
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The directrix of a parabola is x = 4. Its focus is (2,6) .
Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix.  Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific.  The formula for the parabola that opens to the left is

-(y-k)^2=4p(x-h)

We will solve this for x at the end.  The negative is out front because it opens to the left.  If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus.  Since the vertex is directly between both the directrix and the focus, each distance is the same.  P = 1.  Filling in what we have now:

-(y-6)^2=4(1)(x-3) which simplifies to

-(y-6)^2=4(x-3)

Now we will solve it for x.

-(y-6)^2=4x-12 and

-(y-6)^2+12=4x so

-\frac{1}{4}(y-6)^2+12=x

4 0
3 years ago
4|6-8| absolute value
sveta [45]
I think it’s 8 ( I’m not sure )
4 0
3 years ago
Read 2 more answers
Which of the following is the line of symmetry for the figure shown below?
scoray [572]

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

7 0
3 years ago
What pattern do you see in the powers of 4?
Studentka2010 [4]
<span>Pattern did the power of 4 shows:
Let’s have an example of the power of 4
=> 4 will be multiplied 4 times
=> 4 x 4 = 16
=> 16 x 4 = 64
=> 64 x 4 = 256
=> 256 x 4 = 1024
=> 1024 x 4 = 4096
=> 4096 x 4 = 16384
………………..

Did you notice the pattern? The last number of each answer always ends up with 4 and followed by 6.</span>



4 0
3 years ago
Read 2 more answers
Without using a calculator determine the number of real zeros of the function f(x) = x^3 + 4x^2 + x -6
hodyreva [135]
Try this:
x³+4x²+x-6=0
1) To re-write the equation into form:
1*x³+4*x²+1*x-6=0, the note 1+4+1=6, it means x=1
2) to re-write the equation into form:
(x-1)(x²+5x+6)=0
(x-1)(x+2)(x+3)=0
3)
\left[\begin{array}{ccc}x-1=0\\x+2=0\\x+3=0\end{array}\right \ \ \textless \ =\ \textgreater \   \left[\begin{array}{ccc}x=1\\x=-2\\x=-3\end{array}\right
Answer: -3;-2;1.
8 0
3 years ago
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