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Alexeev081 [22]
3 years ago
7

Two vertices of a right triangle have coordinates (5, 12) and (11, 12). The segment that connects these points is a leg of the t

riangle.
Which coordinate pair for the third vertex would create a right triangle?


​(11, 4)​

​(8, 12)​

​(19, 12)​

​(8, 20)
English
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

(11,4) of course

Explanation:

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A parabola is represented by the equation y2 = 5x. Which equation represents the directrix? Y = –20 x = –20 y = Negative five-fo
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Answer:

x = - \frac{5}{4}

Explanation:

Given

y^2 = 5x

Required

Determine the directrix

First, we express the equation in form:

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

Where the directrix is:

x = h - p

So, we have:

y^2 = 5x

Rewrite as:

(y - 0)^2 = 5(x - 0)

Multiply the right hand side by 4/4

(y - 0)^2 = \frac{4}{4} * 5(x - 0)

(y - 0)^2 = 4* \frac{5}{4} (x - 0)

By comparison:

(y - k)^2 = 4p (x - h) and (y - 0)^2 = 4* \frac{5}{4} (x - 0)

k = 0

p =\frac{5}{4}

h = 0

The directrix is calculated as:

x = h - p

So:

x = 0 - \frac{5}{4}

x = - \frac{5}{4}

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