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Damm [24]
3 years ago
11

The directrix of a parabola is x = 4. Its focus is (2,6) .

Mathematics
1 answer:
Sati [7]3 years ago
4 0

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

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Parallel Lines cut by a transversal
Tresset [83]

Answer:

-4

Step-by-step explanation:

1. They are alternate exteriors meaning they are supposed to be the same so you sort the equation like 134+x=130

2. Then you pass 134 both side like ×=130

-134

3. Which will equal :-4

7 0
2 years ago
2+0=2 What property is illustrated? A. associative property of addition B. commutative property of addition C. identity property
valkas [14]
C. identity property of addition. hope it helps
7 0
3 years ago
Read 2 more answers
Write an expression for the sequence of operations described below.
Triss [41]

Answer:

(h+g)=n➗2 is the answer. happy to help you

5 0
3 years ago
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line repr
BARSIC [14]
Hi there! The slope of the line is -2/5.

We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.

In this situation we have a...
change of x-coordinates of (5 - 0) = 5
change of y-coordinates of (0 - 2) = -2

Therefore, the slope of this line is -2/5
6 0
3 years ago
Help plz I'm desperate ​
lutik1710 [3]

<u>Anna:</u>

1st month = 18 + \frac{3}{4} = 18\frac{3}{4} inches

2nd month = 18\frac{3}{4} + \frac{3}{4} = 19\frac{1}{2}

3rd month = 19\frac{1}{2} + \frac{3}{4} = 20\frac{1}{4}

4th month = 20\frac{1}{4} + \frac{3}{4} = 21

5th month = 21 + \frac{3}{4} = 21\frac{3}{4}

<u>Grace:</u>

Because Anna is \frac{9}{4} inches shorter than Grace, we can start the count from the third month:

1st month = 20\frac{1}{4}

2nd month = 21

3rd month = 21\frac{3}{4}

4th month = 21\frac{3}{4} + \frac{3}{4} = 22\frac{1}{2}

5th month = 22\frac{1}{2} + \frac{3}{4} = 23

7 0
3 years ago
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