Mathematics High School

PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2

a. y=-3
b. x=7
c. y=7
d. x=-3

PLEASE HELP !!!!!!!! What Is The Equation Of The Directrix For The Following Parabola: -8(x-5)=(y+1)^2a.

Answers

Answer 1

Answer:

x=7

Step-by-step explanation:

Answer 2

The directrix of the equation is x=7

What is directrix of parabola?

The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix. The directrix and the focus are equidistant from the vertex of the parabola. Here we define the directrix for the standard equations of a parabola.

The directrix of the parabola y^2 = 4ax, having x-axis as its axis, passes through (-a, 0), and has the equation x + a = 0.The directrix of the parabola y^2 = -4ax, having x-axis, passes through (a, 0), and has the equation x - a = 0.The directrix of the parabola x^2 = 4ay, having y-axis as its axis, passes through (0, -a), and has the equation y + a = 0.The focus of the parabola x^2 = -4ay, having y-axis as its axis, passes through (0, a), and has the equation y - a = 0.

Given:

-8(x-5)=(y+1)²

Now, using the definition of directrix

x= 8/4 +5

x= 2+ 5

x= 7

Learn more about directrix here:

https://brainly.com/question/17376399

#SPJ2

Related Questions

Calculate 10% of $20.00.​

Answers

Answer:

$2

Step-by-step explanation:

Divide $20 by 10 for 10 percent.

2, divide 20.00 by 10 and you get 2

Divide. (– 6t + t^3 – 4) ÷ (t + 2)
a. t^2-8t+12
b. -t^2+3t+2
c.t^2-2t-2
d. -6t^2+13t-30

Answers

Answer:

 t2 - 2t - 2 or C. - Hope it helps!

Please help I'll mark brainliest

Answers

Put your y-intercept at (0,1), and then place the points (3,2), (6,3), (9, 4), (-3,0), (-6,-1), and then (-9, -2).

Emily bought 36 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought
Inches of fabric.

Answers

Answer:

36 yards = 1,296 inches.

Theo rolls a dice 306 times.

Work out an estimate for the number of times Theo rolls an even number

Answers

I believe it would equal to 51!

HELP HEP HELP LAST ONE OMG

Answers

can you take another photo the top part is a bit cut off

What is the volume of a hemisphere with a diameter of 60.9 in, rounded to the
nearest tenth of a cubic inch?

Answers

78 I think because you have to see the other 2 numbers

The volume of the given hemisphere is 59131.7 inches³.

What is a hemisphere?

Hemisphere is the exact one-half of the sphere.

given, diameter of the hemisphere is = d = 60.9 inches

Therefore, radius = d/2 = 60.9/2 inches = 30.45 inches.

Hence, the volume = (2/3) × π × r³ =  (2/3) × π × (30.45)³ inches³ = 59131.7 inches³.

Learn more about the volume of the hemisphere here: https://brainly.com/question/23118911

#Tag #SPJ2

Someone Please help me

Answers

1) x1= -8 , x2=16
2) x= 11
3) 7/8 or 0.875

Need help need help need help need help

Answers

Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test


A $60 shirt is on sale for 30% off. How much is the shirt's sale price?

Answers

Answer:39?

Step-by-step explanation:

A sofa regularly sells for $840. The sales price is$714. Find the percent decrease of the sale price from the regular price

Answers

Answer:

15%

Step-by-step explanation:

can any one help me i really need it

Answers

34 try the app Cymath it’s great for math

Answer:

i got 722.5, Not sure if this is right but it's what I got

What’s 1 + 1?
A. 0
B. 0
C. 0
D. 2

Answers

Answer:

its D

Step-by-step explanation:

[tex]1 + 1 = 2 \\ [/tex]

A rectangular goat pen has an area of 32 square meters and a perimeter of 24 meters. What are the dimensions of the pen?

Answers

Answer:

Breadth is 4 m and length is 8m

Step-by-step explanation:

Area of the rectangle = Length * breadth

Area of the rectangular goat pen= 32 square meters

Perimeter of the rectangular goat pen = 24 meters

Perimeter of the rectangle = 2(length + breadth)

          24= 2(l+b)

          12= length + breadth

         12- breadth = length ----------- equation A

Area = l*b

32= l*b

32= (12- b) *b

32= 12b- b²

b²-12b+32= 0------------------- equation B

Solving the quadratic equation by factorization

b²- 8b- 4b+32= 0

b(b-8) -4(b-8)= 0

(b-8) = 0

(b-4)= 0

b= 8 or b=4

As breadth is usually smaller than length then putting b= 4 in  equation A

gives

  12- breadth = length

12-4= length

length = 8

Hence breadth is 4 m and length is 8m

Zena saves $5 for every $30 she earns. Which of these describes the rate at which Zena saves?
A $1 saved for every $5 earned
B. $1 saved for every $6 earned
C. $6 saved for every $5 earned
D. $0.60 saved for every $10 earned

Answers

Answer:

I think it is c because yah

What's the surface area if the radius of a cylinder is 6 and the height is 10 in ?

Answers

Answer:

A≈603.19in²

Step-by-step explanation:

sorry if it's wrong

Answer:

603.19

Step-by-step explanation:

ill give brainliest

Length = 11

Width = 4

Height = 7

What is the vloume?

What is the surface area?​

Answers

Answer:

volume = 308 units^3

surface area = 298 units^2

6. Move each vertex one more time to a different location.
What is the sum of the angle measures of the quadrilateral?

Answers

Answer:

360

Step-by-step explanation:

I got it right

HELP!! Im Working on homework and not sure how to do this and its due tomorrow can anyone help me!! Btw it’s geometry!

Answers

Answer:

1. 7.3

2. 33.3

3. 9.2

4.31.9

5.25.6

6.11

7.42°

8.64°

9.13°

10. 51°

Step-by-step explanation:

Hope this helps.

property . Simplify the expression 2(5+r) using the distributive property.

Answers

Answer:

2x5 = 10

1xr = 2r

Ans : 10+2r

Step-by-step explanation:

[tex]\huge\boxed{Hi\:there!}[/tex]

We are asked to simplify the given expression using the Distributive Property.

All we have to do is multiply 2 times 5 and r:

2(5+r)

10+2r

[tex]\huge\boxed{Hope\:it\:helps!}[/tex]

[tex]\huge\bold{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Select the correct answer.
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p below. The parameter b is an unknown positive base.

p(n)=1.7×b^n

Which statement is true about this situation?

A.
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
B.
If b = 1.02, the annual sales of smartphones will double in 2 years.
C.
If b = 1.45, the annual growth rate of the sales of smartphones is 145%.
D.
The average annual sales of smartphones increases by 1.7 million units every year.

Answers

Answer:

When the survey was initially conducted, the average sales of smartphones was 1.7 million units.

Step-by-step explanation:

The exponential equation is P ( n ) = 1.7 ( b )ⁿ , where n is the number of years and P ( n ) is the annual sales of smartphones and the initial sales of smartphones was 1.7 million units

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

P ( n ) = 1.7 ( b )ⁿ

where , n is the number of years

And , P ( n ) is the annual sales of smartphones

Now , the value of b is the exponential growth factor

At the initial year , the number of smartphones sold is when n = 0

So , when n = 0

P ( 0 ) = 1.7 ( b )⁰

P ( 0 ) = 1.7 million units

Hence , the number of smartphones sold in initial year is 1.7 million units

To learn more about exponential growth factor click :

https://brainly.com/question/13674608

#SPJ7

Find the greatest common factor of these three expressions.
20w, 8w, and 28w?

Answers

Answer:

4w.

Step-by-step explanation:

Is 4.5 - (-3.5)positive negative or zero

Answers

Answer:

Positive

Step-by-step explanation:

Two minus signs = +

- - = +

Replace the -- with +

4.5+3.5 = 8

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
11
16

Answers

11.
Fraction - 11/100
Decimal - 0.11
Percent - 11%
16.
Fraction - 16/100
Decimal - 0.16
Percent - 16%

Find values for p and q so that the equation has infinitely many solutions.
px - 2 = 4x + x + 9
p =

Answers

Px-2= 4x+x+9

First what you should do is subtract the 2 on both sides

You’ll get px = 4x+x+7 then add the x to 4x

Px= 4x^2 +7

Dived the x on the left on both sides like this px/x = 4x^2+7/x

P= 4x+7

The circumference of a circle is 18π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

Answer:

A = 81π

Step-by-step explanation:

if circumference is 18π then diameter is 18 and radius is 9

A = πr²

A = 9²π or 81π

jared and zach worked all day saturday mowing lawns they earned a combined of $43 how much did each boy get

Answers

Answer:

$21.50

Step-by-step explanation:

Remove brackets using the distributive law: -9(2r - 3s) *

Answers

The answer is -18r + 27s! :)

Answer:

-18r + 27s

Step-by-step explanation:

You would multiply 2r and -3s by -9.

The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE

Answers

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

2.State whether ABC and LAED are congruent. Justify your answer.

D a. yes, by either SSS or SAS

b. yes, by SSS only

c. yes, by SAS only

d. No; there is not enough information to conclude that the triangles are congruent​

Answers

The Answer is c Yes, by SAS only

Yes, Triangles ABC and AED are congruent by SSS or SAS.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in image.

Now,

Here, In triangles ABC and AED;

⇒ AB = AE = 7

⇒ BC = DE

⇒ AC = AD

⇒ ∠BAC = ∠DAE

Thus, The triangles ABC and AED are congruent by SSS and SAS.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Other Questions
what was douglass's opinion on popular sovereignty Which president would have been most likely to agree that access to highereducation among impoverished Americans required governmentintervention?A. Lyndon B. JohnsonB. Richard NixonC. George H. W. BushD. Ronald Reagan What can you tell me about wildfires? Why do some places get them and others don't? Brief the system of proportional representation Is this good enough to show my art teacher?Also 50 points because I have 700 According to Lenz's law, an induced current in the direction depicted in the picture would be created when: a. An external downward field is created or an external upward field is removed b. An external upward filed is created or an external upward field is removed c. An external downward field is created or an external downward field is removed d. An external upward field is created or an external downward field is removed What is the value of 4^3 Decide if the following sentence is grammatically CORRECT or INCORRECT.Ich hatte Magenschmerzen.O correctO incorrect Can you help me with this question show your work of how you got your answer this due in 16 minutes NO LINKS OR DOING IT JUST FOR THE POINTS AND NO STEALING MY POINTS WITH RANDOM ANSWERS i need the full answer with work shown plss and thank you Will Give brainliest Which statement best describes the association? A. The data shows a negative association with a trend line of y = -2x + 3 B. The data shows a negative association with a trend line of y = -2x 3. C. The data shows a positive association with a trend line of y = x2 + 3 D. The data shows a positive association with a trend line of y = 2x 3 what does break-even mean in Maths Lit Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle Un da una mujer le dice a Pedro que lo quiere. Los habitantes del pueblo empezaron a hacerse a un tiempo para decirse las cosas en persona. Pedro llevaba mensajes a los habitantes del pueblo porque ellos no tenan tiempo para comunicarse. Pedro ahora le dedica tiempo a la mujer que quiere.Pedro entonces dej de ser el mensajero del pueblo. WHAT IS THE AREAAAA HEELLPPPP!!!! 6. Find JL.3r + 4JL=5.x - 16 How does type 1 diabetes affect the cardiovascular system? Answer correct answer for brainliest The video points out that the logistic challenge of moving injured soldiers back to the United States requires the cooperation of all kinds of personnel. Name three of the roles that the video covers. Then select one of those roles and explain why you think it is logistically important. Ruby and Felicia have a substantial argument every spring over where they should spend their summer vacation. What is true about one strand of DNA?It contains many chromosomes.It contains many proteins.It contains many pieces of RNA.It contains many genes.