Mathematics High School

Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix?
A.) x = 4.0000
B.) x = 4.7500
C.) x = 4.6250
D.) x = 4.9375

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Find the vertex

¼(x-5) = (y-2)²

x-5 = 4(y-2)²

x = 4(y-2)² + 5

This is a right-opening parabola with vertex (5,2).

focal length p = 1/(4·coefficient of y²) = 0.0625

directrix: x = 5-p = 4.9375

D

Answer 2

The equation of directrix of the parabola will be x = 4, i.e. Option A.

What is directrix ?

Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.

We have,

[tex]\frac{1}{4} (x - 5) = (y - 2)^2[/tex]

Now,

Rewrite as,

[tex](x - 5) = 4(y - 2)^2[/tex]

Now,

[tex]x= 4(y - 2)^2+5[/tex]

Now,

Comparing it with the vertex form,

i.e.

[tex]x = a ( y - h )^ 2 + k[/tex]

Vertex of parabola = (2, 5),

So,

Focus at (a, 0),

So,

Focus of the parabola = (4, 0),

i.e., a = 4

Now,

The Equation of directrix is given by x = a

So,

The equation of the directrix of this parabola,

x - a = 0,

i.e.

x - 4 = 0

⇒

x = 4

Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.

To know more about directrix click here

https://brainly.com/question/4333610

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hi please help i’ll give brainliest please

Answers

Answer:

its c

Step-by-step explanation:

Answer:

28y + 63 (second option)

Step-by-step explanation:

7(4y + 9)

7 x 4y (28y)

7 x 9 (63)

you would multiply 7 and 4y to get 28y and then multiply 7 and 9 to get 63 and you would add the plus sign to get the full answer which is 28y+63

A circle has an area of 127 cm?. Find its circumference. (Round your answer to the
nearest tenth.

Answers

≈39.95

A Area  

127

d

r

r

r

d

d

C

A

Using the formulas

A=πr2

C=2πr

Solving forC

C=2πA=2·π·127≈39.94908

Answer:

39.95

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

i’ve never done a tape diagram before (so this might be wrong). But I think it’s:

6t=9

If this is correct, I hope it helps :)

Answer:

1.5 x 6 = 9

Step-by-step explanation:

9/6 because 6 t's and then we get 1.5 and so we multiply that by 6 and get 9

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Line of reflection

X-axis

Answers

Answer

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Step-by-step explanation:

In geometry, reflection basically just means flipping things over a line.

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Answers

Answer:

Step-by-step explanation:

2g-3+11-8g= -6g+8= 2(-3g+4)

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Answers

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Answers

Answer:

To find function values is the process of evaluating the function for given values of x. Example #1 If f (x) = x 2 + 4x + 3, find function values f (0), f (-2), and f (3). f (0) = 0 2 + 4 (0) + 3

Step-by-step explanation:

Please help me (If you don't know please don't answer)

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Question options:
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Answers

Answer:

1

Step-by-step explanation:

bc its the anwser

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Answers

106 is the answer hope it really helps yhu

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Answers

The number 11 is combosit

Answer:

11

Step-by-step explanation:

trust

Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2 serves that did not go over the net.If Kenny attempted 36 serves yesterday, how many serves did he make over the net?

Answers

Answer: 28

Step-by-step explanation:

Given

Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is

[tex]\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%[/tex]

for 36 serves, applying the same success rate, it is

[tex]\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28[/tex]

Serves that did not make over the net is [tex]36-28=8[/tex]

Thus, Kenny will make 28 serves that make over the net

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Answers

Answer:

∠1 and∠3 = Supplementary Angles

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Answers

Answer: $3,400

Step-by-step explanation:

There are 400 seats in the auditorium which means that there are 400 tickets to be sold.

85% of these tickets are sold. The number of tickets sold is:

= 85% * 400

= 340 tickets were sold.

Each ticket sells for a total of $10.

The amount of money made from ticket sales is therefore:

= No. of tickets sold * price of ticket

= 340 * 10

= $3,400

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t

Step-by-step explanation:

From given, we have,  The expression that represents the Rachel's distance is given by, d = - 38t + 220                                                                      

where, d represents the distance in meters

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We know that, speed = distance by time.  Therefore, we need to differentiate the given equation w.r.t to time to find the speed.

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Answer:

38 meters per second

Step-by-step explanation:

Hope this helps!

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Answers

Help me please help help

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

The figures have the same lengths but they are reflected.

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Answers

Answer:

$6000

Step-by-step explanation:

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x ft
20 ft
15 ft

Answers

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

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Answers

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Answers

Answer:

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may it help you

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HELPPP

Answers

Answer:

12

Step-by-step explanation:

This is correct. Trust me.

I'm glad I could help:)

6m+27=8.25m

You have to subtract 6m on both sides first.

6m+27=8.25m

-6m       -6m

27=2.25m

Now we divide 2.25 from both sides.

27=2.25m

/2.25 /2.25

12=m

---

hope it helps

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Answers

Answer:

58.33

Step-by-step explanation:

8.33 per hour

Mulitply by 7 and get 58.33

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Answer:

Step-by-step explanation:

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Answers

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