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Mama L [17]
3 years ago
11

2 PONS

Mathematics
1 answer:
Margaret [11]3 years ago
8 0

<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>A</em><em>.</em>

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>y</em><em>o</em><em>u</em><em>.</em><em>.</em><em>.</em>

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Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.
yKpoI14uk [10]
Basically, the parabola has to have all points that are equidistant from the focus and the directrix, the directrix being a horizontal line, and the focus being a point given. To derive an equation from this you need to use the distance formula which I'm guessing you already know because you're already in precalc.
The gist of it is that we have a random point on the parabola (x,y), and the point (x,y) will be equidistant from both the focus and the directrix. If we use the distance formula, you get something like this:
\sqrt{(y-(- \frac{1}{2} ))^2} = \sqrt{(x-2)^2+(y-(-1)^2}
The square root of y-(-1/2) coming from the directrix, and the righthand side of the equal sign being derived from the focus.
All you need to do is simplify now!
<span>(y+\frac{1}{2})^2 = (x-2)^2+(y+1)^2 \\\ y^2+y+ \frac{1}{4} = x^2-4x+4 + y^2+2y+1 \\\ -y-\frac{3}{4} = x^2-4x+4 \\\ -y-\frac{3}{4} = (x-2)^2 \\\ -y = (x-2)^2+\frac{3}{4} \\\ y = -(x-2)^2-\frac{3}{4}
</span>
Hope I helped! 
3 0
3 years ago
Read 2 more answers
Sponges are sold for 20 dollars. How many sponges per dollar.
Natasha2012 [34]

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

5 0
2 years ago
Which best describes the transformation from the graph of f(x) = x2 to the graph of
RoseWind [281]

Transformations

(x-3)...: That means the graph shifted 3 units right.

...-1: that means the graph shifted 1 unit down.

answer: 3 units right, and 1 down

8 0
2 years ago
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Which column represents the correct method for the proof of the following statement?
kramer

Answer:

90

Step-by-step explanation:

the colums add up to angle 1, which make angle 2 adjacent.

9-9=0

3 0
2 years ago
Alisa says it is easier to compare the numbers in set A 45,760-1,025,680 than set B492,111-409,867
Marysya12 [62]
What is the question?
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