identity the vertex, focus, and directrix

Identity The Vertex, Focus, And Directrix

Answers

Answer 1

Answer:

vertex: (0, 0)

focus: (-7, 0)

directrix: x=7

Step-by-step explanation:

divide both sides by (-1/28) and you will get y^2=-28x-28=-4p ----> p=7focus=(-p, 0) ------> (-7, 0)directrix=x=p  ---------> x=7

Related Questions

An answer with a reasonable response will get brainiest. It is in the picture

Answers

Answer:

M = 12.5

Step-by-step explanation:

Simple,

2 times 12.5 is 25

4 times 12.5 is 50

6 times 12.5 is 75

8 times 12.5 is 100

The "m" is just a variable. Kinda like a question mark.

Give me 3 reasons why the penguins are the best animal will give brain-list

Answers

Answer:

‏‏‎ ‎

Step-by-step explanation:

#1 - they look cool

#2 - they can swim

#3 - they eat fish

A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

I think the truck would be 210 inches long

Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)

Answers

Answer:

es la a. 5+8 es esa amigo la respuesta

Write the slope intercept equation for the following table

Answers

M or slope: 2
B or y intercept: 7
Equation: y=2x+7
I think this is right Srry if it’s wrong

Step-by-step explanation:

m = y2-y1/X2-X1

slope intercept equation is: y=Mx+b

The slope is based on the formula m and from there pick any points then do the forumla m to find the slope. Anything that have 0 as the X is b which is the y intercept.

Your answer would be

Slope: 2

y-intercept: 7

Answer: y=2x+7

I'll give you brainliest or something just help.

Answers

Answer:

C=25 (vertically opposite angle)

b=150 (linear pair)

d=150(vertically opposite angle)

Step-by-step explanation:

pls mark BRAINLIEST

Abcd is rotated counterclockwise about the origin.By how many degrees was abcd rotated?

Answers

Answer:

The rotation is 270 degrees counterclockwise

Step-by-step explanation:

Given

See attachment

Required

Degrees of rotation

From the question, the rotation is counterclockwise

Using point B and B' as points of reference.

[tex]B =(2,5)[/tex]

[tex]B' =(5,-2)[/tex]

The rule that supports the above is: rotation by 270 degrees counterclockwise.

Because the rule is:

[tex](x,y) ==>(y,-x)[/tex]

If JG=JF,GD=13, and mCD=136, find each measure.

Answers

Answer:

[tex]ED = 26[/tex]

[tex]CF = 13[/tex]

[tex]m \overset{\huge\frown}{ED} = 136[/tex]

[tex]m \overset{\huge\frown}{HD} = 68[/tex]

[tex]m \overset{\huge\frown}{CE} =88[/tex]

Step-by-step explanation:

Given

[tex]JG = JF[/tex]

[tex]GD = 13[/tex]

[tex]m \overset{\huge\frown}{CD} = 136[/tex]

See attachment for circle

Solving (a): Length ED

Line JD divides ED into two equal parts, EG and DG.

So:

[tex]ED = EG + GD[/tex]

[tex]ED = GD + GD[/tex]

[tex]ED = 13 + 13[/tex]

[tex]ED = 26[/tex]

Solving (b): Length CF

CF is a reflection of EG.

So:

[tex]CF = EG[/tex]

[tex]EG = GD = 13[/tex]

So:

[tex]CF = 13[/tex]

Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]

Since ED = CD;

Then:

[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]

So:

[tex]m \overset{\huge\frown}{ED} = 136[/tex]

Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]

Line HF divides CD to 2 equal parts

So:

[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]

[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]

[tex]m \overset{\huge\frown}{HD} = 68[/tex]

Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]

[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.

So:

[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]

[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]

Collect like terms

[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]

[tex]m \overset{\huge\frown}{CE} =88[/tex]

Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:

Given value:

[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]

When

[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]

[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]

SO,

[tex]CF = FD \\\\EG=ED \\\\[/tex]

[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]

[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]

Using the Vertical theorem and Theorem of the length of tangent to calculate the value:

[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]

Note:

The given question is incomplete that's why we defined the question in the attached file and then solve it.

Find out more information about the arc of the circle here:

brainly.com/question/1577784

Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?

Answers

i think it’s 19 not sure

Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.

Answers

Answer:

x ≈ 2879.4 m

Step-by-step explanation:

Measure of ∠DAC = 10°

Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

cos(80°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{AB}{AC}[/tex]

0.17365 = [tex]\frac{500}{x}[/tex]

x = [tex]\frac{500}{0.17365}[/tex]

x = 2879.36

x ≈ 2879.4 m

i need help with graph pleasee​

Answers

Answer:

I drew the graph

I hope this helps you

do u need it still? i can help if not

What is the length of the missing leg?

Answers

C = 17.5 I’m pretty sure

Jackie has a poster that is 8 inches wide by 11 long inches. She wants to enlarge it so that the length is 33 inches. What should the width be?

Answers

Answer:

it is 24inches

Step-by-step explanation:

33/11=3

3x8=24

Can you please answer without sending links because I can’t open them, thanks!

Answers

Answer:

B. C. E.

Explanation:

In answer B, 4b means four of that variable, so you would add them all together, same goes with answer C. In answer E, you would use the "multiply by the reciprocal" rule, which basically means to keep the b as it is, change division to multiplication, and flip [tex]\frac{1}{4}[/tex].

Find the area. Simplify your answer.
x+7 x+2

Answers

Answer:

8x+2

Step-by-step explanation:

I think that's right I hope it is

The area of the quadrilateral is (x² + 9x + 14).

Given is a quadrilateral with height equal to (x+7) and the base is (x+2), we need to find the area of the quadrilateral,

So, to find the area of a quadrilateral, we need to know the lengths of both the height and the base.

In this case, the height is given as (x+7) and the base is given as (x+2).

The formula to find the area of a quadrilateral is:

Area = (base × height)

Let's substitute the given values into the formula and solve for the area:

Area = [(x+2) × (x+7)]

To simplify the expression, let's expand the brackets:

Area = (x² + 7x + 2x + 14)

= (x² + 9x + 14)

So, the area of the quadrilateral is (x² + 9x + 14).

Learn more about Areas click;

https://brainly.com/question/30307509

#SPJ6

Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total of 10 kilometers? Assume the relationship is directly proportional.

Answers

Answer:

6 trips in total..,.............

Answer:

5

Step-by-step explanation:

HELP I HAVE THIS ASSIGHMENT DUE IN 30 MINUTES

Answers

Answer:

C

Step-by-step explanation:

p-2>6

add 2 both sides

p >8

p can only be greater than 8, and not equal to it, so the circle is open

2x + Y=8


Me podrían ayudar a resolverla por favor

Answers

The answer is ( Y= 4
Are you solving for x or y

Find the value of x?

Answers

Answer:

Step-by-step explanation:

6) Number of sides = n = 7

Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180

                            = 900

x + 125 + 119 + 117 +145+133 +140 = 900

x + 779 = 900

      x = 900 - 779

      x = 121

7) Number of sides = n = 5

Sum of all the sides of the mentioned polygon = (n - 2)*180

     = 3 *180 = 540

90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540

90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540

198 + 19x = 540

         19x = 540 - 198

        19x = 342

            x = 342/19

          x = 18

8) Number of sides = n = 8

Sum of all the sides of the mentioned polygon = (n - 2)*180

    = 6*180

    = 1080

This is a regular polygon (All sides are equal). so all the angles are equal.

One angle = 1080 ÷ 8 = 135

16x +23 = 135

       16x = 135 - 23

      16x = 112

         x = 112/16

     x  = 7

What is 23x9+37-213+(5x12)

Answers

Answer: 91

is that a x or multiply?

plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)

Answers

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

Can someone please help me with these two questions?

Answers

Answer:

1) Part A

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

2626 people

Part C

1575 people

2) Part A

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The value of the hose in 2025 is approximately $208,472.6

Part C

The value of the hose in 2032 is approximately $135,189.8

Step-by-step explanation:

1) Part A

The given parameters are;

Martianville population in 2012, P₀ = 8,300 people

The percentage annual decrease in the population, r = -12% = -0.12

The formula for the growth of a population is presented as follows;

P = P₀·(1 + r)ⁿ

Where;

P = The population amount at a later time

P₀ = The initial amount of the population

r = The rate of the population growth

n = The number of years

Therefore;

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

The population that will attend Martianville in 9 years is given as follows;

P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77

Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people

Part C

The population that will attend Martianville in 13 years is given as follows;

P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people

2) Part A

The price at which the house was bought, A₀ = $342,000

The rate of decrease of the value of the house = 6% therefore, r = -0.06

The function that models the situation is presented as follows;

A = A₀·(1 + r)ⁿ

Therefore;

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The number of years between 2025 and 2017 = 2025 - 2017 = 8 years

The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981

The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6

Part C

The number of years between 2032 and 2017 = 2032 - 2017 = 15 years

The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176

The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8

I do not understand this may I get help?​

Answers

Answer:

b

Step-by-step explanation:

the y axis is the axis going up and down, so the reflection would be on the other side of the axis.

HELP PLEASE
Determine the maximum number of zeros of the polynamial function -8x^4 -x^2+2 please select the best answer choice provided

It’s 1 or 2 or 4 or 3

Answers

It’s 1 because of -8x^4-x^2+2

What is the measure of angle 3?

Answers

the measure of angle 3 is 90

Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm. Answer ASAP!

Answers

Answer:

Lateral area:

A(l) = πrl = 3.14*7*15 = 329.7 cm³

Surface area:

A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³

Answer:  498.96 cm³

Lateral area:

A(l) = πrl = 3.14*7*15 = 329.7 cm³

Surface area:

A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³

i need the answerrrrr

Answers

Answer:

the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)

Step-by-step explanation:

Mia had $32. Then she started to receive $5 a week as an allowance. She plans to save all of her money for a bicycle and draws a graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?

A. (2,64)
B. (1 ,32)
C. (4 , 52)
D.(6 , 30 )

Answers

Answer:

4,52

Step-by-step explanation:

32+5x=y

pls let me know is it was right

if it was pls give brainlest

What will be the first negative term in the sequence 87,84,81​

Answers

Answer:

a₃₁

Step-by-step explanation:

The terms have a common difference between consecutive terms, that is

d = 84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

To find when [tex]a_{n}[/tex] < 0 , solve

90 - 3n < 0 ( subtract 90 from both sides )

- 3n < - 90

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then

n > 30

Thus the 31st term will be the first negative term

MNOP is a trapezoid with median QR. Find x.

Answers

Answer:

D. x = 7

Step-by-step explanation:

Midsegment of a trapezium = ½(sum of the lengths of the parallel bases) => Trapezoid midsegment theorem

Thus:

QR = ½(NO + MP)

QR = 14

NO = 8

MP = 2x + 6

Plug in the values into the equation

14 = ½(8 + 2x + 6)

14 × 2 = ½(8 + 2x + 6)×2

28 = 8 + 2x + 6

28 = 14 + 2x

28 - 14 = 14 + 2x - 14

14 = 2x

14/2 = 2x/2

7 = x

x = 7

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