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Talja [164]
3 years ago
14

Can anyone please help me with this. It’s late and I need help asap :)

Mathematics
2 answers:
Maru [420]3 years ago
6 0
They’re both always :))
laiz [17]3 years ago
4 0

Answer:

I think they're both always but I'm not sure

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Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.<br> y−3=(2−x)^2
Talja [164]

Given:

The given equation is

y-3=(2-x)^2

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

y-k=a(x-h)^2     ...(i)

where, (h,k) is vertex, \left(h,k+\dfrac{1}{4a}\right) and directrix is y=k-\dfrac{1}{4a}

We have,

y-3=(2-x)^2

It can be written as

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

y-3=(x-2)^2    ...(ii)

On comparing (i) and (ii), we get

h=2,k=3,a=1

Vertex of the parabola is (2,3).

Focus=\left(2,3+\dfrac{1}{4(1)}\right)

Focus=\left(2,3+\dfrac{1}{4}\right)

Focus=\left(2,\dfrac{13}{4}\right)

Therefore, the focus of the parabola is \left(2,\dfrac{13}{4}\right).

Directrix of the parabola is

y=3-\dfrac{1}{4(1)}

y=3-\dfrac{1}{4}

y=\dfrac{11}{4}

Therefore, the directrix of the parabola is y=\dfrac{11}{4}.

4 0
3 years ago
Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make
iren [92.7K]

Answer:

\frac{23}{21} feets

Step-by-step explanation:

Given.

Sally started with two feets of cloth.

Total cloth = 2 feets

She used \frac{1}{3} of a foot of the cloth to make a pillow cover.

And another \frac{4}{7} of a foot of the cloth to make a table cloth.

She used total cloth to make a pillow cover and table cloth = \frac{1}{3} +\frac{4}{7}

=\frac{7+12}{21} \\=\frac{19}{21}

Total used cloth by Sally = \frac{19}{21}

The equation for remaining cloth

remaining cloth = total cloth - used cloth

remaining cloth = 2 - \frac{19}{21}

remaining cloth = \frac{2\times 21-19}{21}

remaining cloth = \frac{42-19}{21}

remaining cloth = \frac{23}{21}

Sally has remaining cloth = \frac{23}{21} feets

8 0
3 years ago
Given the equation P = 2w + 2l solve for w. A) 2w = P - 2l B) w = 2l + P 2 C) w = P -2l 2 D) w = 2l - P 2
Artist 52 [7]
w = - 1\frac{P}{2}



Hope that helps, Good luck!
5 0
4 years ago
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For the function y equals 1/2 x + 1, make a function table and use it to graph the equation
e-lub [12.9K]
A nice graphing utility can be found at the link below, along with your graph and the corresponding table of values.

https://www.desmos.com/calculator/qe8pnxwqdb
6 0
3 years ago
In a class test (+ 5) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks
aleksklad [387]

OK ITS OK IM GOD CALM DOWN

4 0
3 years ago
Read 2 more answers
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