A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix? focus: (negative one-fourth, 0); directrix: x = One-fourth focus: (one-fourth, 0); directrix: x = Negative one-fourth focus: (–4,0); directrix: x = 4 focus: (4,0); directrix: x = –4.

Answers

Answer 1

The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

A parabola can be represented by the equation y² = – x.

The coordinates of the focus and the equation of the directrix will be given as

We know that the standard equation of the parabola y² = – 4ax.

On comparing, we have

a = 1/4 = 0.25

The focus of the parabola is at (–a, 0) that is (–0.25, 0).

The directrix of the parabola will be given as

y = a

x = 0.25

More about the parabola link is given below.

https://brainly.com/question/8495504

Answer 2

Answer:

A. focus: (negative one-fourth, 0); directrix: x = One-fourth

Step-by-step explanation:

i did it

A Parabola Can Be Represented By The Equation Y2 = X. What Are The Coordinates Of The Focus And The Equation

Related Questions

HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?

Answers

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Mai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for in all the equations and see where they are not equal?” 1. Find the step where Tyler made an error. 2. Explain what he did wrong. 3. Correct Tyler’s work.

Answers

Mai's statement implies that Tyler's steps do not form an equivalent expression

Tyler's error is in step 3.

How to determine Tyler's error?

Tyler's steps of solving the expression is given as:

9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x + -63 - 20x

Tyler's error is in step 3.

This is so because:

9 + (-4) ( 5x + -6 ) in step 2 is not equivalent to 9 + -20x + -6 in step 3

In actual sense, Tyler's error is in multiplying the (-4) and (-6)

The correct solution is as follows:

9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x +2433 - 20x

Read more about equivalent expressions at:

https://brainly.com/question/2972832


Use the diagram to complete the statement

Answers

Answer:

cos(52)

Step-by-step explanation:

Both sin(38) and cos(52) are equal to KJ/KL.

Felipe is making triangles for a stained glass window, he made the design shown but wants to change it. Felipe wants to move the purple triangle to the corner. The purple piece has side lengths of 4.5 inches, 6 inches, and 7 inches. Can the purple piece be moved to the corner?

Answers

We have sides of triangle as [tex]4.5[/tex] inches, [tex]6[/tex] inches and [tex]7[/tex] inches.

So the sum of square of two smallest side is-

[tex]=4.5^2+6^2[/tex]

[tex]=20.25+36[/tex]

[tex]=56.25[/tex]

Now lets find the value of square of longest side of triangle-

[tex]=7^2[/tex]

[tex]=49[/tex]

Now from both value

[tex]49[/tex] [tex]\neq[/tex] [tex]56.25[/tex]

[tex]7^2[/tex] [tex]\neq[/tex] [tex]4.5^2+6^2[/tex]

So from Pythagoras theorem the given triangle is not a right triangle so it can not moved to the corner.

Thus, Since the triangle is not a right triangle therefore it can not moved to the corner.

-4 + 3y = 29
5x + y = -3
solve by substitution

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

y=11

x= -2.8

Step-by-step explanation:

y= -5x-3

-4+3 (-5x-3)=29

-4-15x-9=29

-4-9-29=15x

-42=15x

x= -2.8

y= -1 (5×-2.8)-3

=14-3

y=11

To find how high school students feel about hot lunches, adam walks to the nearest high school and gives a survey postcard to every twentieth student that enters the building. he asks the students to mail the postcard in if they choose to participate in the study. why might the method used be biased?

Answers

The statement second and statment third are the reason that method used might be biased.

It is given that Adam gives a survey postcard to every twentieth student that enters the building.

It is required to find the statement why the method used to be biased.

What is the sample size?

The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.

Adam gives a survey postcard to every twentieth student, not every student that enters the building.

It means asking every twentieth student does not represent the student population.

Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.

Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.

Thus, the statement second and statment third are the reason that method used might be biased.

Learn more about the biased sample here:

https://brainly.com/question/26962814

Answer:

B and C

Step-by-step explanation:

HELP ASAP 50 POINTS ITS GEOMENTRY

Answers

Answer:

1.c

2.a

3.d

4.e

5.f

6.b

1/c 2/a 3/d 4/e 5/f 6/b

Use the spinner to answer the question. It is divided into 8 congruent sections. Orange, Blue, Pink, Brown, Purple, Red, Bronze, Black. Determine whether the statement is true or false. After 96 spins, Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times.

Answers

Using proportions, it is found that the statement that Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times is True.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 8 sections, 4(Blue, Brown, Bronze and Black) begin with letter "B". We want to find the equivalent amount out of 98 trials. Hence, the rule of three is:

8 trials - 4 start with "B".

96 trials - n start with "B".

Applying cross multiplication:

8n = 4 x 96

n = 0.5 x 96

n = 48.

Hence, the statement is True.

More can be learned about proportions at https://brainly.com/question/24372153

(-5 -10 -32 ) • (4 - 8 - 16) =

Can someone help me please

Answers


You would have to evaluate the problem so it would be 940

What is the measure of the missing angle?

Answers

Answer:

140°

........

.......

........

solve for x and y 13x−28=24

Answers

x=4

also uhh where does the y go-

a fast food chain surveyed a random sample of students to determine what pizza they prefer.cheese pizza was preferred by 40 students.pepperoni pizza was preferred by 28 students.based on the results,how many of 340 student can be expected to prefer cheese pizza

Answers

Answer:

12%, 0.12, 5/17, or as a ratio: 5:17

Step-by-step explanation:

To find the percentage:

Take the 40 students who prefer cheese and divide it by 340:

0.11764705882 rounded would be 0.12.

Convert 0.12 into 12% of students prefer cheese pizza.


To find the decimal, to the same exact thing I did up there, but, don't turn it into a percent, just leave it as 0.12.

To find the fraction, turn it into:

40/340

Then simplify it:

5/17 prefer cheese pizza.

For ratio, do the same as fraction, but, instead of the slash mark, turn it into a colon like this: 5:17.

:)

Please help me with this please and thank you

Answers

Answer:

B

Step-by-step explanation:

the common ratio r of a geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

B   4

Step-by-step explanation:

Divide any number (other than the first one) in the sequence by the previous number.

12/3 = 4

48/12 = 4

Answer: B   4

Carrie makes 27 liters of lemonade 8 people share their lemonade leafly

Answers

Answer: 3.375

Step-by-step explanation:

27 divided by 8 equals 3.375

Assuming each of the 8  person gets equal share of the whole 27 litre lemonade, the amount of lemonade each person would get is 3.375 litres.

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )

For this case, we're specified that:

Amount of lemodnade Carrie made = 27l itresNumber fo people in which this lemonade will be divided = 8

Assuming that they all get equal share and we want to know the amount each person will get, we get:

Amount of lemonade each of those 8 person would get = 27 litres / 8

[tex]27/8 = 3.375[/tex]

Thus, each person gets 3.375 litres of the considered lemonade.

Learn more about division here:

https://brainly.com/question/26411682

#SPJ4

The radius of a circle is 2 inches. What is the length of a 180

Answers

Answer:

4pi or 12.6

Step-by-step explanation:

I hope this helps

can 133.97 be an answer to a cone with a radius of 4 inches and a height of 8 inches

Answers

Answer:

no

Step-by-step explanation:

the answer is 134.04

HELP ME PLEASE!!! I cant do this and it is due in 10 minutes.


25% of 7th-grade classrooms are math classrooms. The 7th-grade area has three math classrooms. How many classrooms are there in the seventh-grade area?

Answers

Answer:

12 classrooms

Step-by-step explanation:

We know that there are 3 math classrooms, and three math classrooms is 25% of all of the classrooms. We need to know the total number of classrooms, which is 100% of the classrooms, so we do 25% times 4. Because we did 25 times 4, we have to do 3 classrooms times 4, and we get 12 classrooms.

Here's a ratio explanation.:

Percent of classrooms : Classrooms

25                                  : 3

100                                : 12

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°

Answers

Answer: Statements 3, 4, 5

Step-by-step explanation:

Statement (3) is true because an interior angle and its exterior angle are supplementary.

Statement (4) is true by the exterior angle theorem.

Statement (5) because the sum of the angles of a triangle is 180 degrees.

Tyler has completed 60 pages in his
French workbook. This is 20% of the total
number of pages in the workbook.
How
many pages are in the workbook?

Answers

Answer:

300 pages

Step-by-step explanation:

this is the answer

Please I need help
Will give brainlest answer !!!

Answers

Answer:

41

Step-by-step explanation:

5 integers with an average of 44

⇒ sum of the integers = 5 x 44 = 220

The median is the middle number when the numbers are put in order of smallest to largest.  So the integers are:  x  x  50  x  x

The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52.  Since the median is 50, the integers are:  x x 50 52 52

Therefore, the remaining two integers are less than 50.

The range is the difference between the largest integer and the smallest integer.  As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25

25 x 50 52 52

To find the last unknown integer :

⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220

⇒ x = 41

Therefore, the integers are:

25, 41, 50, 52, 52

Tiffany ate ¼ of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?

Answers

Answer:

she ate 4 slices

Step-by-step explanation:

Answer:

1/4 × 16

=4

therefore she ate 4 slices

I need help! Giving brainiest. Please answer as many questions as you can!!!!

Answers

Answer:

2. 12

3. 1 6/8

4. 8 5/8

5. 4 4/8

6. Eli is incorrect 1 3/8 x 3 is 4 1/8 which is greater than 3 1/8

PLA HELP ME THIS IS MY LAST CHANCE Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object​

Answers

Answer:

Answer is C

Step-by-step explanation:

Because you divide each side by 2 because that is the scale factor

Please help! will give brainlest! locks in 30 min!

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]

tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]

= [tex]\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Please help quick!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\large\sf\underline{ANSWER:}[/tex]

23.) ax²-a

a(x²-1)

a(x+1)(x-1)

24.) 2x²-5x+3

2x²-3x-2x+3

(2x²-3x)+(-2x+3)

x(2x-3)-(2x-3)

(2x-3)(x-1)

25.) xy²+8xy+15x

x(y²+8y+15)

x(y²+3y+5y+15)

x((y²+3y)+(5y+15))

x(y(y+3)+5(y+3))

x(y+3)(y+5)

#[tex]\large\sf\underline{CarryOnLearning}[/tex]

please help meeeeeeeeeeeeeeee

Answers

Answer:

They given expresión is Pd y no mi al

What is the measure of <1?

Answers

Answer:

the measure of ∠1 is 92 degrees

Step-by-step explanation:

Find the sum or product two different ways. 5+6+7+8

Answers

26


5+6=11
7+8=15
15+11=26

or you could do

5+6+7+8=26


same answer either way

Which graph represents the function f(x) = |XI – 4?

Answers

Answer:

The graph that is correct is just like the top one that shows on the picture you shared, but instead of being on positive 4 it is on -4

Step-by-step explanation:

what are the possible values of remainder r, when a positive integer 'a' is divided by 3​

Answers

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

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