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.

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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

What is m _BAC?
A) 40°
B) 60°
C) 70°
D) 80°

Answers

A because of supplementary angels. 180-40=40 :))

If two angles are supplementary and congruent, what is the measure of each angle?

100°
180°
90°
45°

Answers

Answer:

90

Step-by-step explanation:

supplementary angles equal 180 degrees and 90+90=180

Answer:

90°

Step-by-step explanation:

     Supplementary angles are angles that add up to 180°.

     Congruent means the angles are equal to each other.

     Since there are two angles, and they have to be equal to each other, we can divide 180° by 2 to find the measure of each angle.

180° / 2 = 90°

            Both angles have a measure of 90°.

please guys help me if u answer it correctly I will brainlist u​

Answers

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

2-y^2=-14 solve for y express answer as an integer or in simplest radical form

Answers

Answer:

8

Step-by-step explanation:

y^2=-16

y= -16/1 % 2/1

y=-16/1 % 1/2

y = 8

Answer:

y=4

Step-by-step explanation:

its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4

I need help!!!!

The square below has the given side lengths. x is positive

Answers

Answer:

Value of X: X=2

Length of One Side: 31

Area: 961u^2

Perimeter: perimeter = 124

Step-by-step explanation:

Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.

Answer:

See below, please

Step-by-step explanation:

This square

[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]

[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex](x + 10) \times (x - 2) = 0[/tex]

Hence,

[tex]x1 = 2[/tex]

[tex]x2 = - 10[/tex]

Because x is positive, So,

[tex]x = 2[/tex]

Then we know

The length of one of the sides

[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]

The area of the square

[tex] = {31}^{2} = 961[/tex]

The perimeter of the square

[tex] = 31 \times 4 = 124[/tex]

Each glass mug below has a radius of 2 inches and a height of 3.75 inches. If the mugs are
sold in sets of 4, find the total surface area of the mugs, not including
the handles.

Answers

Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs

Mensuration of Solids

Given Data

Radius r = 2 inchesHeight h = 3.75 inchesNumber of mugs = 4

Total surface area of cylinder = 2πr(r + h)

TSA of 1 mug = 2*3.142*2(2+3.75)

TSA of 1 mug = 12.568(5.75)

TSA of 1 mug = 72.266 square inches

if the total surface area of one mug is 72.266 square inches

hence the total surface area of 4 mugs will be

= 72.266*4

= 289.064 square inches

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Please Help I'm Confused.

Answers

Answer:

The last one

Step-by-step explanation:

Look at A and A'

It moved 4 units to the right and 1 unit down

The same with B, B' and C, C'

i need help with this 3n-4=17 show work

Answers

Answer:

The value of n = 7

Step-by-step explanation:

=> 3n-4=17

=> 3n = 17+4

=> 3n = 21

=> n = 21/3

=> n = 7

Answer:

n=7

Step-by-step explanation:

1. Solve

3n-4=17

3n-4+4=17+4

3n=21

3n/3=21/3

n=7

2. Check

3x7-4=17

21-4=17

17=17

Correct!
3. Answer

n=7

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

4x + y = 10
7x + 2y = 17

Answers

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Hello!

[(4πr³)/3]/2

r = 7,5yd

[4 *3,14*7,5³/3]/2

=> 883, 125yds ³

How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?

Answers

Answer:

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Answer:

Step-by-step explanation:

An example is a^2 - b^2.

Also 64 - 49   (as 64 are both perfect squares).

The way to factor is by using the identity:

a^2 - b^2 = (a - b)(a + b)      ( a + in one parentheses and - in the other)

Examples:

x^2 - 4y^2 = (x - 2y)(x + 2y)     [ x is the square root of x^2 and 2y is square root of 4y^2)

144 - 16 = (12 - 4)(12 + 4)

9x^2 - 36y^2 = (3x - 6y)(3x + 6y)

What is the measure of

Answers

Answer:

25

if j 25 L is going to be 25

Find the missing length of the triangle.

Answers

Answer:

11 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]           (Pythagorean Theorem)

[tex]a^{2}[/tex] + [tex]4^{2}[/tex] = [tex](12\frac{1}{3})^{2}[/tex]  (square numbers)

[tex]a^{2}[/tex] + 16 = 152 [tex]\frac{1}{9}[/tex]  (subtract 16, both sides

[tex]a^{2}[/tex] = 136 [tex]\frac{1}{9}[/tex]        (square root both sides)

a = 11 [tex]\frac{2}{3}[/tex] or 11.66 repeating

Using your answer from #7, find the perimeter of the triangle.
Answer From #7: 9

Answers

Answer:

58

Step-by-step explanation:

x=9

3(9) + 1 + 4(9) -8 + (9) - 7 = 58

PLEASE HELP!!! will give brainlisest

Answers

Answer:

[tex]\sf \dfrac{x}{8}-22[/tex]

Explanation:

[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]

remove parenthesis

[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]

expand

[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]

simplify

[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]

Answer:

[tex]\frac18x-22[/tex]

Step-by-step explanation:

Given expression:

[tex](\frac78x-4)-3(\frac14x+6)[/tex]

Expand:

[tex]\implies \frac78x-4-\frac34x-18[/tex]

Gather like terms:

[tex]\implies \frac78x-\frac34x-4-18[/tex]

Change 3/4 into eighths:

[tex]\implies \frac78x-\frac68x-4-18[/tex]

Combine like terms:

[tex]\implies \frac18x-22[/tex]

Unit 4: Congruent Triangles Homework 2: Angles of Triangles

Answers

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

How to solve the triangle?

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

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Jake has 900 cm³ of material. He uses 14. 5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4. How much more material does Jake need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jake needs an additional Choose. Cm³ of material to make the second prism.

Answers

A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.

Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,

[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]

Substitute the values,

[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]

Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).

Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,

The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake

The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³

                                                                               = 42.5 cm³

Hence, the amount of more material that is needed by Jake is 42.5 cm³.

Learn more about Ratios:

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Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3

Answers

Answer:

r = ⅙

⅙ × ⅙ = 0.03

0.03 × 3 = 0.09

Please Help Will GIve Brainlest! Locks in 1 Hour!

Answers

Answer:

-3.274

Step-by-step explanation:

attached

Hopes this helps

{please mark me brainiest}

Use the function below to find f(-4).
fx) = 2^x

Answers

Answer:

1/16

Step-by-step explanation:

plug in -4 instead of the x.

if the exponent is negative it can be written as 1/2^4

so the answer is 1/16

The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?

Answers

Answer:

197.92

Step-by-step explanation:

radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)

12² is 144 so 144Pi

9² is 81 (for the inner circle) so 81Pi

144 - 8 is 63Pi which in decimal form is 197.92.

Please help simplify fractions

Answers

Answer:

this is easy the a sewer is 12

i got the first part but cant figure out the second, help would be appreciated

Answers

Answer:

see explanation

Step-by-step explanation:

look at the explanation& answer photo

One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal

Please explain your answer.

Answers

The perimeter of the triangle described in statement has a measure of 56 units long.

How to determine the perimeter of a triangle

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823

Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!

Answers

Answer:

UM make a graph if you want so yea

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]

[tex]\\ \rm\rightarrowtail x=3,1[/tex]

4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.

The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.

Regular price in dollars (r)

40

45

50

55

Restaurant's price in dollars (p)

32

37

42

47

• Write an equation that represents the relationship.

С



р

8

Answers

Answer:

p = r-8

Step-by-step explanation:

40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants

i need help with this

Answers

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

You place some money in a savings account the savings account earns 2% simple interest. explain how you can find the interest earns after x years.

Answers

The formula of simple interest is A=prt.
Because of this, you can plug in what you know to find your total amount in your account.
Convert the interest rate to a decimal. 2%=0.02

Answer:
A=P*0.02*x
where
A=Total amount of money in account ($)
P=Amount of money invested ($)
x=Time (yrs)

Question is in the picture:

Answers

Answer:

its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a

Step-by-step explanation:

Answer:

A ) the Value of t is greater than 8

Step-by-step explanation:

6t>48

t>48/6

t>8

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