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inn [45]
3 years ago
10

Find the coordinates of the focus and equation of the directrix for the parabola given by

Mathematics
2 answers:
Romashka [77]3 years ago
5 0

Answer:

The answers to your three problem question are shown

1) the value of p is

p = -1

2) The coordinates of the focus are

Focus =  (-1,0)

3) The equation of the directrix is

Directrix

x = 1

Step-by-step explanation:

The general equation for this parabola is

y^2 = 4px

Problem 1

Find the value of p.

We are told that the equation of the problem is

y^2 = -4x

And the general formula is

y^2 = 4px

From there, we can deduce that

p = -1, because

y^2 = 4(-1)x = -4x

This means that p = -1

Problem 2

Find the focus

To find the focus we can see the equations attached below for the focus, vertex and directrix.

In these case, the equations still apply, even though the variable is inverted, we just need to adjust it

y^2 = -4x =>

x = (-1/4)*y^2

x = a*y^2 + b*y +c

Focus

((4ac -b^2  + 1)/4a, -b/2a)

But, b = 0 and c = 0

=>

(1/4a,0) = (1/4(-1/4),0) = (-1,0)

Focus =  (-1,0)

Problem 3

Find the directrix

The equation is

x = c - (b^2 + 1).4a

But, b = 0 and c = 0

x = -4*a

x = -4* (-1/4) = 1

x = 1

Directrix

x = 1

sukhopar [10]3 years ago
4 0

Answer: P is -1

Focus is (-1,0)

Directrix is X= 1

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Answer:

$3,929.25.

Step-by-step explanation:

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3 years ago
Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 g
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Read 2 more answers
Which of the following events are dependent?
cestrela7 [59]

Answer:

A. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.

C. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.

Step-by-step explanation:

Two events will be dependent if the first event influences the probability of the second event. If the first event takes something and doesn't put it back, that means the second event can't pull the same roll and the total pool of items changed.

A. Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.

This option put replace the card, so it is independent

B. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.

No replacement, the event should be dependent.

C. Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.

This option  put back the pulls, so it is independent

D. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.

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8 0
3 years ago
A rectangular parking lot is 75 feet wide and 150 feet long. The owner wants to increase the width by 100 feet. What is the appr
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The <em>approximate increase</em> in Area of the parking lot is about 133%

Area of a rectangle = Length × width

<u>Initial Area of parking lot</u> :

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<u>New Area of parking lot</u> :

Width = 75 + 100 = 175 feets

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Area = 175 × 150 = 26250 ft²

<u>Percentage increase in </u><u>Area</u><u> </u><u>of lot</u> :

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(15000 / 11250) × 100% = 133.33%

Therefore, the <em>approximate increase</em> on area of lot is 133%

Learn more : brainly.com/question/18109354

5 0
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