A) x = -2
B) y =2
C) y= -2

A) X = -2B) Y =2C) Y= -2

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

[tex]y=a(x-h)^2+k[/tex] so that means that [tex]a=\frac{1}{8}[/tex]. We can use that to solve for p in the formula

[tex]p=\frac{1}{4a}[/tex] so

[tex]p=\frac{1}{4(\frac{1}{8}) }[/tex] which simplifies to

[tex]p=\frac{1}{\frac{1}{2} }[/tex] which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.


Related Questions

Help me please which expression is equal

Answers

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown​

Answers

Answer:

8

Step-by-step explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

[tex]5=x-6[/tex]

Add 6 to both sides

[tex]11=x[/tex]

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

[tex]mean=\frac{6+7+11}{3}[/tex]

Add 6+7+11

[tex]mean=\frac{24}{3}[/tex]

Divide by 3

[tex]mean=8[/tex]

In △FGH, L is the centroid. If LK = 19, find GL

Answers

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

Answers

Answer:

x = 9

Step-by-step explanation:

24x - 18 - 8x - 30 = 96

add or subtract like terms

16x - 48 = 96

shift - 48 to right hand side . when it goes to other side minus changes to plus

16x = 96 + 48

16x = 144

x = 144/16

x = 9

to prove that the value of x satisfy the given equation or not.

to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

96 = 96

since both sides is equal to 96 it can be concluded that the value of x is 9.

Problem

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

AnswerX = 9

Step by Step Explanation

24x - 18 - 8x - 30 = 96

First let's just add/subract the following terms.

16x - 48 = 96

Second.. shift the 48 to the right side. after that change the minus sign into plus sign.

16x = 48 + 96

16x = 44

x = 144/16

x = 9

Explanation:

So we just prove that the value of x satisfy the equation true or not.

To prove that the value of x is 9.. we just substitute the 9 in place of x and if it was 96 the result of the equation the problem must be true.

So we begin to solve it!

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

Since that all both sides are equal to 96 it can be concluded that the value of x is 9.

#LearnwithBrainly

Find the area of the shape.
17 m
4 m
7 m
9 m
What is the area

Answers

Step-by-step explanation:

Area squares the unit of length. in this case, none of these are area

(By the way is this question tagged with a picture)

However, does these questions will be marked as brantliest !!!!

Answers

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?

Answers

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

Find the missing side. Round to the nearest tenth.
A.7.4
B.4.4
C.6.4
D.5.4​

Answers

Answer:

option D

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39 = adjacent / hypotenuse

0.77 = x / 7

x = 7*0.77

x = 5.39

x = 5.4

Answer:

D. 5.4

Step-by-step explanation:

Using trigonometric ratio

cos 39 = x/7

cross multiple

x = cos39(7)

x=5.4

Which equation models the data in the table?

Answers

i think it’s direct variation y= 12/x i’m note 100% sure tho

Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is

Answers

Answer:

It is 2 million

Answer:

Million

Step-by-step explanation:

ForEASY BRAINLIEST!!!

Answer:
A.
B.
C.

Answers

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overall class average of 90%?

Answers

Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

[tex]92+86+83+90+91+x=90 \times 6[/tex]

Step 2) Simplify equation:

[tex]442+x=540[/tex]

Step 3) Subtract 442:

[tex]x=540-442=98[/tex]

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

Daine simplified the expression below.

8(1 + 2i) – (7 – 3i) = 1 + 5i

What mistake did Daine make?

Answers

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

Answer:

A , He did not apply the distributive property correctly for 8(1 + 2i).

on edge

Step-by-step explanation:

given log base3 4 = log base 1/27 k , find the value of k .​

Answers

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

A steamer travels 36 km upstream and 32 km downstream in 6.5 hours. The same steamer travels 4 km upstream and 40 km downstream in 180 minutes. Determine the steamer's speed in still water and the stream's speed.

Answers

Answer:

The streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Step-by-step explanation:

Let v = streamer's speed in still water and v' = stream's speed. His speed upstream is V = v + v' and his speed downstream is V' = v - v'.

Since he travels 36 km upstream, the time taken is t = 36/V = 36/(v + v').

he travels 32 km downstream, the time taken is t' = 32/V' = 32/(v - v')

The total time is thus t + t' = 36/(v + v') + 32/(v - v')

Since the whole trip takes 6,5 hours,

36/(v + v') + 32/(v - v') = 6.5  (1)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')36/(v + v') + (v + v')(v - v')32/(v - v') = 6.5(v + v')(v - v')  (1)

(v - v')36 + (v + v')32 = 6.5(v + v')(v - v')  (1)

36v - 36v' + 32v + 32v' = 6.5(v² + v'²)

68v - 4v' = 6.5(v² + v'²)        (2)

Also he travels 4 km upstream, the time taken is t" = 4/V = 4/(v + v').

he travels 40 km downstream, the time taken is t'" = 40/V' = 40/(v - v')

The total time is thus t" + t'" = 4/(v + v') + 40/(v - v')

Since the whole trip takes 180 minutes = 3 hours,

4/(v + v') + 40/(v - v') = 3  (3)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')4/(v + v') + (v + v')(v - v')40/(v - v') = 3(v + v')(v - v')  (1)

(v - v')4 + (v + v')40 = 3(v + v')(v - v')  (1)

4v - 4v' + 40v + 40v' = 3(v² + v'²)

44v - 36v' = 3(v² + v'²)      (4)

Dividing (2) by (4), we have

(68v - 4v')/(44v - 36v') = 6.5(v² + v'²)/3(v² + v'²)      

(68v - 4v')/(44v - 36v') = 6.5/3

3(68v - 4v') = 6.5(44v - 36v')

204v - 12v' = 286v - 234v'

204v - 286v = 12v' - 234v'

-82v = -222v'

v = -222v'/82

v = 111v'/41

Substituting v into (2), we have

68v - 4v' = 6.5(v² + v'²)      

68(111v'/41) - 4v' = 6.5[(111v'/41)² + v'²]        

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²    

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²

[7548/41 - 4]v' = 6.5[12321/1681 + 1]v'²

[(7548 - 164)/41]v' = 6.5[(12321 + 1681)/1681]v'²

[7384/41]v' = 6.5[14002/1681]v'²

[7384/41]v' = [91013/1681]v'²

[91013/1681]v'² - [7384/41]v' = 0

([91013/1681]v' - [7384/41])v' = 0

⇒ v' = 0 or ([91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or [91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or v' =  7384/41 × 16841/91013

⇒ v' = 0 or v' =  180.097 × 0.185

⇒ v' = 0 or v' =  33.33 km/h

Since v' ≠ 0, v' = 33.33 km/h

Substituting v' into v = 111v'/41 = 111(33.33 km/h)/41 = 3699.63 km/h ÷ 41 = 90.23 km/h

So, the streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

please show me the steps of to do this
DON"T GIVE ME THE ANSWER
ASAP

Answers

Answer:

B

Step-by-step explanation:

The number [tex]a . 10^{-2}[/tex] is 8 times greater than [tex]b . 10^{-3}[/tex]

thus, [tex]a . 10^{-2} = 8b. 10^{-3}[/tex]

multiply both sides by [tex]10^{2}[/tex]

we get [tex]a = 8b. 10^{-1} \\a = 0.8 b[/tex]

if we take a = 2.5 and b = 3.1 we get 2.5/3.1 = 0.8

then B is the answer

I don’t actually know I’m just trying to get points

If a number is chosen at random from the numbers 1 to
20 inclusive, what is the probability that a single-digit
number will be picked? ( give your answer in simplified
fractions eg. 2/5 when necessary)

Answers

Answer:

1/20

Step-by-step explanation:

only a single number can be chosen out of 20. And 1/20 is the most simplified it can get.

Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph

Answer choices
X= 5
y = 0
x = 0
y = 5

Answers

Answer:

A

Step-by-step explanation:

The line is parallel to y axis, so the equation is x = 5

what is 18 7/8 -14 7/9

Answers

Answer:

295/72

Step-by-step explanation:

Help me please! I will give brainliest!

Answers

Answer:

i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.

I need help with this can someone help me please!!! I will give brainlist, no links!!
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?

Answers

Answer:

Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building

can you help me with this. Find the surface area ​

Answers

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. Sí cada gallina pone un huevo cada día ¿cuántos huevos recolectan en una semana (7 días )?

Answers

Answer:

12376 huevos

Step-by-step explanation:

Son 68 gallinas en 26 corrales por tanta se multiplicaría

26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:

1768 x 7= 12376

1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.

(6x+15)°
63° triangle

Answers

Answer:

x = 2

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

6x + 15 + 90 + 63 = 180

6x + 168 = 180 ( subtract 168 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

I need help with number 35 please help

Answers

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.


PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2

Answers

In square based pyramid
Length of base (a)=6cm
Slant height (l)=4 cm
Now,
LSA=2al
= 2*6*4
=48cm^2

Answer:

Surrounding area of pyramid = area of a side face multiplied by 4

Step-by-step explanation:

The area of a side face is the area of the triangle:

[tex]\frac{1}{2} *6*4[/tex] = 12

So the perimeter of the pyramid is:

12×4=48

Explanation: because the side faces have the same area.

Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.

Answers

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational


Does anyone know the answer to this ?!? ( links and answers that have nothing to do with the question will be reported.)

Answers

Answer:

the triangle was 2x scale (*2)

it was reflected across y=0

and translated x +2

Step-by-step explanation:

PLEASE HELP 25 POINTS. If you apply the changes below to the quadratic parent function, fx) = x2,
what is the equation of the new function?
.
Shift 1 unit left.
.
Vertically stretch by a factor of 3.
• Reflect over the x-axis.

Answers

Answer:

[tex]f(x) = 3 (x+1)^{2}[/tex]

Step-by-step explanation:

I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation

Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.

Answers

Answer:

I think C is the relation between the variables.

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