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Artemon [7]
3 years ago
7

Can someone plz help me with this one problem plz!!!! (I Will Mark Brainliest)!!!!!

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

it would be in the middle? like starting at 0

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
Mrs Rivas bought a can of paint he used 3/8 of paint and 1/4 he also used some for a birdhouse and had 1/8 of paint left how muc
Degger [83]

Answer:

The amount of paint used in the  birdhouse = (1/4) of paint

Step-by-step explanation:

The amount of paint used in first go = 3/8

The amount of pain used in second go = 1/4

The amount of paint used in bird house = k

The amount paint left = 1/8

Now, according to the question:

Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint

⇒\frac{3}{8}  + \frac{1}{4} + k + \frac{1}{8}    = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8}  = \frac{8-6}{8}  = \frac{2}{8}  = \frac{1}{4} \\\implies k = \frac{1}{4}

or, The amount of paint used in the  birdhouse = (1/4)

5 0
3 years ago
Determine the Value of x,y and z.
Aleksandr-060686 [28]

Answer:

x=9

y=16

z=12

Step-by-step explanation:

7 0
3 years ago
Which point is closest to 6.5?<br> A) A <br> B) B <br> C) C <br> D) D
Illusion [34]
That would be B) B
hope it helps

6 0
2 years ago
Please help out it would be great help I need the answer before 8pm
Diano4ka-milaya [45]

A reflection over the y-axis :)

5 0
3 years ago
Read 2 more answers
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