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Oliga [24]
3 years ago
12

What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form: 
x² + 8 x - y + 18 = 0 
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x + 125 = 2250

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Step-by-step explanation:

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Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

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From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

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