need help fast
The graph of y^2 + 8y – 4x – 24 = 0 is a parabola. Where is the focus located?

Answers

Answer 1

Answer:

It’s (-9,-4)

Step-by-step explanation:

Edge

Answer 2

The focus of the graph of the function is located at (−9,−4).

Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.

What is vertex form?

The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Right

Vertex: (−10, -4)

Focus: (-9, -4)

Axis of Symmetry: y=−4

Directrix: x=−11

Therefore, the focus of the graph of the function is located at (−9,−4).

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Related Questions

What is an equation of the line that passes through the point (6,3) and is parallel to
the line x + 3y = 24?

Answers

Answer:

x + 3 y = 15

Step-by-step explanation:

line is paralle that means that coefficient next to x mand y must be the same

so the equation of the line will be

x + 3y = a

we have to find a, we know that line passes throgh (6,3) so

6 + 3 * 3 = a

a = 15

the line has an equation

x + 3 y = 15

Translate the following sentence into an equation.

Fifteen minus the product of three and a number will equal six.

Answers

Answer:

r u stu ped

Step-by-step explanation:

stu ped

If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4

Answers

C. The monthly rate is 6pct/12 = 0.5 pct which gives 10$ each month.

Guys plz solve this equation and help me​

Answers

Answer:5a^2 + 6ab + 2b^2

Step-by-step explanation:

Answer:

i don't know if this helps

WILL GIVE BRAINLIEST



Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?

Answers

Answer:

You will have $1314.27

Step-by-step explanation:

A=1200(1+2.3/100)^4

A=1200(1.0952)

A=$1314.27

Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .

Answers

Answer:

COEFFICENT

Step-by-step explanation:

Need help Pronto! Will give braintliest.

Answers

Answer:

the answer is 45 I believe because it is the same exact as j

This graph shows the distance that a robot walks. What is the robot's speed?
Waliking Time and Distance
2 3 4 5
Time (minutes)
OA 10 feet per minute
OB. 5feet per minute
Oc. 30 feet per minute
OD. 20 feet per minute

Answers

Speed = Distance divided by time or d/t
I don’t see a graph

The speed of the robot from the graph is m = 10 feet per minute

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the distance of the robot

Let x represent the time taken

Let the first point be P ( 1 , 10 )

Let the second point be Q ( 2 , 20 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line will give the speed of the robot

Substituting the values in the equation , we get

Slope m = ( 20 - 10 ) / ( 2 - 1 )

m = 10 feet per minute

Hence , the speed is 10 feet/min

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The complete question is attached below :

This graph shows the distance that a robot walks. What is the robot's speed?

Walking Time and Distance

2 3 4 5

Time (minutes)

A) 10 feet per minute

B) 5feet per minute

C) 30 feet per minute

D) 20 feet per minute

Need help ASAP!!!The measures of angles of a triangle are shown in the figure below.Solve for x

Answers

Answer:

54

Step-by-step explanation:

90 + 36 = 126

180-126= 54

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____.

Answers

Answer:

[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]

Step-by-step explanation:

Given that:

The population mean μ =  12

By computing the null and alternative hypotheses, the correct set of hypotheses for this test is:

[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]

This is a two-tailed test.

−8/9 ⋅ 5/6
What is the product in simplest form?


Fractions btw

Answers

the answer 56 it’s already put in simplest form

What is the original price of the box of cereal?

Answers

Answer:

$3.20

Step-by-step explanation:

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Answers

Step-by-step explanation:

[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]

[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]

Explain how could use 8 + 8 to find the sum

Answers

Answer:

its 16

Step-by-step explanation:

I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet

Answers

Answer:

2.5 feet

Step-by-step explanation:

20/8=2.5

Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?

Answers

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made.  Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation  6c - 2.4.  Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8.  We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8.  Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2  

Help! It's geometry. :) 35 points.

Answers

Answer:

g = 21

h = 8

Step-by-step explanation:

3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)

Simplify to get g = 21.

Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)

Answer:g=21 h = 8

Step-by-step explanation:

That's a rhombus supposedly so the opposite angles are congruent.

This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180

9g=,189 g = 21

now plug this into the first equation

9h-4=3(21)+5

9h-4=63+5

9h=72

h=8

HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture

Answers

Answer:

-5+2

Step-by-step explanation:

Answer:

I would say 6 cm too, also can anyone help me on my math? its powers and exponents

IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step

Answers

oh really?? how much?

Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?

Answers

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Hi if i have 8,000 saving for 12,000 how much more do i need?

Answers

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

What is the perimeter of the triangle?
unit

Answers

Answer:

36 units

Step-by-step explanation:

perimeter of the given triangle = 16 + slant (10) + slant (10)

                                                   = 36 units  

(see image below)

help with this homework question pleaseeee

Answers

Answer:

b

Step-by-step explanation:

then it would be sss

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answers

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality

3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.

Answers

Answer:

12.08

Step-by-step explanation:

the easiest way to answer this is to set it up in this equation:

15.1/100 = x/80

in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08

15.1% of 80 is equal to 12.08.

What is Percentage?

A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.

The abbreviations like 'pct' or 'pc' are also used to denote percentage.

Percentage is a dimensionless quantity as they have no dimensions.

Here we have to find the percentage 15.1% of 80.

The percentage of any number can be computed by dividing the number with whole and then multiply with 100.

To compute the percentage value to the original number, we use the reverse process.

15.1% of 80 = 15.1% × 80

                   = (15.1/100) × 80

                   = 0.151 × 80

                   = 12.08

Hence we got the value of 15.1% of 80 as equal to 12.08.

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59 = 10n − 11

What is n?

Answers

Step-by-step explanation:

n = 7

hope it helps!

......

-8+12 divided by 2 + (-14)

Answers

Answer:

-16

Step-by-step explanation:

Answer:

the answer is negitive 12 or -12

11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2

Answers

Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10

Answers

it would be c or b, you’re welcome!

Simplify by using the o
3–8(4-9)=

Answers

Answer:

-51

Step-by-step explanation:

3-24+72=0

75-24=0

51=0

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