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Ilia_Sergeevich [38]
1 year ago
11

What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?

Mathematics
1 answer:
Sauron [17]1 year ago
4 0

The directrix of the parabola is y =  \frac {-49}{16}

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

\frac 14(y + 3) = (x -2)^2

A parabola is represented as:

4p(y - k) =(x -h)^2

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

y = -3 - \frac 1{16}

Take the LCM

y =  \frac {-16 * 3- 1}{16}

Evaluate

y =  \frac {-49}{16}

Hence, the directrix of the parabola is y =  \frac {-49}{16}

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

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6 0
3 years ago
Solve the equation10=2N + 1
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given as :

For A Trapezoid

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Let  The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = \dfrac{1}{2} × (sum of opposite base) × height

I.e A =  \dfrac{1}{2} × (b_1 + b_2) × h

Or, A =  \dfrac{1}{2} × (10 unit + 16 unit) × 3 unit

Or, A =  \dfrac{1}{2} × (26 unit) × 3 unit

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I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

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Answer:

2

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What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ra
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Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

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so, P => (-3 , 4)

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