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pishuonlain [190]
3 years ago
11

-2/5 + 1 1/13Find the sum​

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:0.67692307692

Step-by-step explanation: d

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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
The diagram shows TUV. Which term describes point W?
alex41 [277]
A. incenter

point w is shown in the triangle formed by 3 different lines. these lines are called angle bisectors, and the point at which the angle bisectors meet is called the incenter of a triangle
5 0
3 years ago
-5x-6(-6+3x)=105 what is the answer
lyudmila [28]

Answer:

x = -3

Step-by-step explanation:

expand -23x + 36 = 105

subtract 36 from both sides -23x +36 -36 = 105 - 36

Simplify -23x = 69

Divid both sides by -23: -23x / - 23 = 69 / -23

x = -3

3 0
3 years ago
What is the estimate of 979
saw5 [17]
I'm pretty sure that it would be 1,000...
4 0
3 years ago
How to solve this algebraically?
Keith_Richards [23]
Ok so x+4-1 makes x-1 so i belive the answer could be 1/5 
7 0
2 years ago
Read 2 more answers
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