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

Show √7 , √5 on a number line.

please hurry up my cissy and oppa

Answers

Answer:

Draw the number line like in the picture.

Step-by-step explanation:

√5 is about 2.236, meaning it's kind of close to 2.25.

√7 is about 2.646, meaning it's very close to 2.625.

Math help please show work thanks

Answers

Answer:

The curve surface area(CSA) of a cylinder is 2πrh.

Since diameter=1.5 in.

          radius=diameter/2

                     =1.5/2 in.

                     =0.75 in.

And, the height of the bottle is 5 in.

Now,

CSA=2πrh

       =2π*0.75*5 in^2

       =15π/2 or 23.56 in^2

The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.

answer the question in detail !!!​

Answers

Answer:

ok so this means 2/5 of the plant have germs and

5-2=3

so 3/5 plants are all good

5 times 20=100

3 times 20=60

so 60% of the plants have germs

Hope This Helps!!!

Find the nth term for 3,8,13,18

Answers

Answer:

5n - 2

Step-by-step explanation:

3 + x = 8

8 - 3 = 5

5 = x

3 (first term) - 5 = -2

5n - 2

Answer:

nth term = 5n - 2

Step-by-step explanation:

The given sequence is 3, 8, 13, 18.

To find the nth term, we have to find the algebraic expression.

Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.

So, d = 8 - 3

    d = 5

b = first term - common difference

b = 3 - 5

b = (-2)

Algebraic expression or the nth term =

5n + (-2)

5n - 2.

Thus, the nth term equals to 5n-2!


How many bacteria are in generation 9?
O A. 1,180,980
O B. 393,660
C. 1440
O D. 6561

Answers

Answer:

B. 393,660

Step-by-step explanation:

lemme get Brainliest please

Answer:

B. 393,660

Step-by-step explanation:

I plugged it into the symbolab calculator and attached the steps below! Hope this helps!

work out the sizeof angle X

Answers

Answer:

x = 13°

Step-by-step explanation:

Since the lines are parallel , then

the lower left vertex of the triangle = 85° ( alternate angles )

the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )

Then

x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )

What’s the answers to this one

Answers

Answer:

g(- 2) = 0, g(4) = - 4

Step-by-step explanation:

x = - 2 in the interval - 2 ≤ x ≤ 4 , then

g(- 2) = 0

x = 4 in the interval 4 ≤ x < 10 , then

g(4) = - 4

Find the slope of the line below. Enter your answer as a fraction or decimal. Use a slash mark (/) as the fraction bar if necessary. ​

Answers

Answer:

1/4

Step-by-step explanation:

We can use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

    = (2-0)/(4 - -4)

    = (2-0)/( 4+4)

    = ( 2/8)

    = 1/4

Can someone
Please
Help
Me











Find the surface area of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres
S.A. = 4nr?
V = rer
[?] ft?

Answers

[tex]804.2\:ft^{2}[/tex]

Step-by-step explanation:

[tex]A=4 \pi r^{2}[/tex]

We are given D = 16 ft, which means that r = (1/2)D = 8 ft. Therefore, the surface area of the sphere is

[tex]A=4 \pi (8 ft)^{2} = 804.2\:ft^{2}[/tex]

The surface area of the sphere is approximately 804.2 square feet.

What is a sphere?

It is a three-dimensional figure where the volume is given as:

The volume of a sphere = 4/3 πr³

We have,

The surface area of a sphere with diameter d is given by the formula:

SA = 4πr²

where r is the radius of the sphere, which is half the diameter. In this case, the diameter is 16 feet, so the radius is 8 feet.

Plugging in the value of r, we get:

SA = 4π(8²)

SA = 4π(64)

SA = 256π

Rounding to the nearest tenth gives:

SA ≈ 804.2 square feet

Therefore,

The surface area of the sphere is approximately 804.2 square feet.

Learn more about sphere here:

https://brainly.com/question/12390313

#SPJ7

Please show your working too

1. Five men takes 3 hours and 20 minutes paint a house. How long would it take four men to paint a similar house? Give your answer in hours and minutes.

2. If 24 houses can be built by 6 builders in one year, how many builders would it take to build 52 houses in the same amount of time?

3. Two people can build four identical walls in three days. At this rate, how many of these walls could ten people build in 3.75 days?

4. Two toy makers can make eight toy soldiers in two weeks. How many toy soldiers could seven toy makers make in three weeks if they work at the same rate?

Answers

Answer:

1. 4hrs and 10mnts

2. 13 builders

3. 25 walls

4. 52 toy soldiers

Step-by-step explanation:

1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts

2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses

3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days

4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks

find the compound ratio of the following

a) 2/15 : 3/7 and 5/8 : 14/27

please help me
give in step by step​​

Answers

Answer:

1/12 : 2/9

Step-by-step explanation:

Compound ratio is the multiplication of the ratios:

2/15 : 3/7 and 5/8 : 14/27

Multiply to get:

(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9

Given ratios,

2/15 : 3/7 and 5/8 : 14/27

Then to find the compound ratio,

We have to multiply,

→ (2/15 × 5/8) : (3/7 × 14/27)

→ 10/120 : 42/189

Now simplify the ratio,

→ 1/12 : 2/9

Thus, required ratio is 1/12 : 2/9.

What is the length of EF in the right triangle below?
E
19
12
F

Answers

Answer:

F

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

EF² + 12² = 19²

EF² + 144 = 361 ( subtract 144 from both sides )

EF² = 217 ( take the square root of both sides )

EF = [tex]\sqrt{217}[/tex] → F

The length of EF in the right triangle below is √217.

Option F is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Using the Pythagorean theorem,

DE² = EF² + DF²

19² = 12² + EF²

EF² = 361 - 144

EF = √217

Thus,

The length of EF in the right triangle below is √217.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ7

Why is addition used to represent the submarine’s position changing from -8
feet to 0 feet below sea level?
What integer represents a submarine 8 feet below sea level?
What integer represents a submarine rising 8 feet?

Answers

Addition is used because the position goes from below sea level (used as negative numbers) to above sea level (positive numbers) As the submarine goes up towards the sea level, the value increases

-8ft (below from sea level)

8ft (above from sea level)

Please mark brainliest!!

Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?

Answers

Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

What is the period of the graph of…

Answers

The 2 doubles the amplitude (the height of the curve)
The +3 translates the whole curve up 3 units
The period tells you the space between repetitions of the curve.
When x = 0, y = 2 x 1 + 3 = 5
This next happens when pi/3 x = 2pi so x would = 6
The period of the curve = 6

D equals f plus fx, solve the equation for x

Answers

Answer:

question says D = f + fx,

then,

D = 2fx

so,

D/2f = x

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.​

Answers

Problem:-

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Solution:-

[tex]\sf{z = kxy}[/tex]

[tex]\sf\rightarrow{16=k(4)(6)}[/tex]

[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]

Answer:-

The equation of variation is,

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]

[tex]{\large{——————————————————}}[/tex]

#CarryOnMath⸙

Question:

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Answer:

[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]

Please help 7th grade math and please give explanation so I can show work I will give brainleyist or a thank you !!!!

Answers

Answer:

so easy q.

bc u r in 7th lol

it's 60

for both

The container of orange juice held 53 cups of juice. If a serving of orange juice is ã of a cup of orange juice, to the
nearest whole serving, how many servings were in the container?
05 servings
O 6 servings
15 servings
19 servings
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

5 servings = 265 cups of orange juices

5 servings = 318 cups of orange juices

5 servings = 795 cups of orange juices

5 servings = 1,007 cups of orange juices

Step-by-step explanation:

Given:

1 serving contain = 53 cups of orange juices

Find:

Serving in;

5 servings

6 servings

15 servings

19 servings

Computation:

5 servings = 53 x 5

5 servings = 265 cups of orange juices

5 servings = 53 x 6

5 servings = 318 cups of orange juices

5 servings = 53 x 15

5 servings = 795 cups of orange juices

5 servings = 53 x 19

5 servings = 1,007 cups of orange juices

Consider the equations:
y=|x-1| and y=3x+2
What is the approximate solution of this system of equations?

Answers

Answer:

ans: (-3/2, -5/2), (-1/2, -5/4)

Step-by-step explanation:

here;

y =| x - 1| can be any of form I.e

y = x - 1 say equation••••1

OR

y = -( x - 1) say equation •••2

our next equation is,

y = 3x + 2 say equation ••••3

substituting 'y' from equation 1 and 2 to 3

we got

x - 1 = 3x + 2 -( x - 1) = 3x +2

- 3 = 2x -1 = 4x

hence

x= -3/2 and -1/4

substituting x in equation 3 we got

y = -5/2 and -5/4

OR ,

can be solve by iterative method which is quite long

Answer:

(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y

Step-by-step explanation:

please can someone help me with this

Answers

Answer:

brainllest if right

90

Step-by-step explanation:

Confused on how to solve this problem, please help and offer a step by step explanation

Answers

Answer:

7x+5=180

7x=175

x=25

Hope This Helps!!!

Which expression correctly represents the perimeter of a rectangle that is 12 centimeters long and 7 centimeters wide?

Answers

Answer:

The expression for the perimeter of the rectangle is:

P = 2*(12 cm) + 2*(7 cm)

And the perimeter is:

P = 38cm

Step-by-step explanation:

We know that for a rectangle of length L and width W, the perimeter is given by:

P = 2*L + 2*W

So, if we have a rectangle that is 12 cm long,  we have L = 12cm

and if the rectangle is 7cm wide, we have W = 7cm

Now we can replace these in the perimeter equation to get:

P = 2*(12 cm) + 2*(7 cm)

P = 24cm + 14cm

P = 38cm

The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t) is height in feet How far off the ground is a seat when it is at the top of the Ferris wheel?​

Answers

Answer:

101ft

Step-by-step explanation:

the answer is in the above image

I need help w/ this.

Answers

Answer:

just click in the box it literally says

Statement ∠T and ∠S are complementary ∠S and ∠U are complementary m∠T+m∠S=90 m∠S+m∠U=90 m∠T+m∠S=m∠S+m∠U m∠U=m∠T ∠U≅∠T

Answers

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Given That,  ∠T and ∠S are complementary & ∠S and ∠U are complementary

Thus, m∠T + m∠S = 90 ------ Equation 1

&  m∠S + m∠U = 90  ------- Equation 2

Now, Subtract Equation 2 From Equation 1, we get

m∠T - m∠U = 0

Thus, m∠T = m∠U

The measure of angle T is equal to angle U.(∠U≅∠T).

NEED HELP ASAP

The length of a rectangular parking lot at the airport is 2/3 mile.if the area is 1/2 square mile, what is the width of the parking lot?

Answers

Answer:

3/4 mile

Step-by-step explanation:

[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]

which of these is a number that can be expressed as a nonrepeating, nonterminating decimal?

Answers

Answer:

an irrational number

Step-by-step explanation:

Answer:

Irrational numbers

Step-by-step explanation:

First, to solve this question, we need to know what irrational numbers are. Irrational numbers are numbers that cannot be expressed as a simple fraction. A nonterminating decimal cannot be expressed as a simple fraction, therefore making it an irrational number.

Hope this helps!

The solutions to the equation -4|x + 9| = -8 are:
7, 11
7, -11
-7, 11
-7, -11

Answers

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

[tex]-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7[/tex]

pls help I'll mark brainliest ​

Answers

Answer:

305°

Step-by-step explanation:

The angle between the north line at L and the line connecting PL is

125° (75° + 50° ) ← alternate angle between parallel lines

Then

bearing of P from L is 180° + 125° = 305°

Other Questions
Suppose you are trying to separate three Proteins using Gel-Filtration chromatography. The sizes of each are given below: Protein A: 1200 kDa Protein B: 2000 kDa Protein C: 800 kDa Which protein will be the first to emerge from the column? Please help me ASAP ASAP ASAP Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers Evaluate the expression. r = , v = , w = v w (5 points) 017 At a school camp there is enough foot for 150 students for 5 days.Q: How long would the food last if there were only 100 students? The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us? which linear inequality is represented by the graph How did the Roman road system help not onlythe Roman empire, but also other civilizations that camelater? A se ion has a mass number of 77 and a charge of 2 . Determine the number of neutrons, protons, and electrons in this ion. Lula budgeted $45 per day for food costs. If these are costs for the twomeals she had today, how much does she have left for dinner?Breakfast$7.98Lunch$13.95Dinner?A. $17.89B. $23.07C. $25.32D. $14.56 It takes a minimum distance of 98.26 m to stop a car moving at 17.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 25.0 m/s. Which new material did Neolithic people invent and use for making tools The government claims that the average age of Texans is 38 years. Blake hypothesizes that the average age of the population of Texas is not equal to 38 years. Blake records a sample mean equal to 41 and states the hypothesis as u = 38 vs u 38. Select the best description for this type of test. a.) Right-tailed test b.) Two-tailed test thing c.) Left-tailed test d.) Upper-tailed test Article III, Section 1 of the Constitution establishes all of the following judicial powers except establishment of the number of judges that sit on the Supreme Court As of December 31, 2019, Nilsen Industries had $2,000 of raw materials inventory. At the beginning of 2019, there was $1,600 of materials on hand. During the year, the company purchased $354,000 of materials; however it paid for only $314,000. How much inventory was requisitioned for use on jobs during 2019? a. $354,400b. $344,400c. $343,600d. $353,600 Computing net invoice amounts LO P1Compute the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the discount period.Merchandise(gross) Terms Paymenta. $7,800 2/10, n/60 b. 24.200 1/15, EOM c. 80,600 1/10, n/30 d. 17,000 3/15, n/45 What are the consequences of writing selection structures to include an unnecessary nested selection structure ? Pls help!?!?!10. Skryf die volgende sin in die lydende vorm: Nthabiseng wil haar nuweselfoon verkoop. *'n nuwe selfoon is deur Nthabiseng gekoop.Haar nuwe selfoon wil deur Nthabseng geverkoop word.Sy nuwe selfoon word deur Nthabiseng verkoop.Haar nuwe selfoon sal deur Nthabiseng verkoop word. Sentences that give facts, reasons, and anecdotes that relate to the main idea of a paragraph are calledA. thesis statements.B.complex sentences.C. topic statements.D. supporting sentences. What type of organic compound is a reactant in all substitution reactions? 1.alkyne 2.alkane 3.alkene