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vivado [14]
3 years ago
13

Help ASAP please!!!!!!!!!​​

Mathematics
1 answer:
loris [4]3 years ago
3 0
The answer is: C.
I’m filling this so it can fill 20 characters DJDMD d c
D
Ddd
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Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
FinnZ [79.3K]

Answer:

y = - \frac{1}{16}(x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\sqrt{(x-1)^2+(y+2)^2^} = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - \frac{1}{16} (x - 1)² + 2

8 0
3 years ago
PLEASE HELP NEED ASAP
babymother [125]
What the formula?
::::::::::::::::::::::::::::::1
7 0
3 years ago
Point m lies between points l and n on line segment l n . the space between l and m is 10 x 8. the space between m and n is 5 x
Ivenika [448]

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

<h3>What is the length of line segment?</h3>

Length of a line segment is the distance of both the ends of it.

Point m lies between points l and n on line segment l n .

  • The space between l and m is 10x 8.
  • The space between m and n is 5x -4.

The value of line segment LN is,

LN = 12x +16

The sum of LM and LN is equal to the line segment LN. Thus,

LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4

Put this value of x in the equation of line segment LN,

LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Learn more about the line segment here;

brainly.com/question/2437195

7 0
2 years ago
One edge of a cube measures 4.6 meters. What is the volume of the cube? Enter your answer, as a decimal, in the box.
ra1l [238]
Volume = l x w x h
4.6 x 4.6 x 4.6=97.336
7 0
3 years ago
Read 2 more answers
A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib. A tailor has 5 4/9 square y
Ludmilka [50]

Answer:

She can make<u> 7 </u>baby outfits.

Step-by-step explanation:

Given:

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib.

A tailor has 5 4/9 square yards of fabric.

Now, to find the outfits she can make.

So, we add to get the total fabric used for baby outfits hat and bib:

\frac{2}{9} +\frac{5}{9}\ square\ yards.

=\frac{2+5}{9}\ square\ yards.

=\frac{7}{9}\ square\ yards.

Total fabric used for outfit = =\frac{7}{9}\ square\ yards.

Total fabric tailor has = 5\frac{4}{9} =\frac{49}{9}\ square\ yards

Now, to get the number of outfits from the fabric tailor has we divide by total fabric used for outfit:

Number of outfits = Total fabric tailor has  ÷  Total fabric used for outfit.

Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}

<em>Thus, on dividing we get:</em>

Number\ of\ outfits = 7\ outfits.

Therefore, she can make 7 baby outfits.  

6 0
3 years ago
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