The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
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The Vertex Of A Parabola Is (-2,6), And Its Focus Is (-5,6).What Is The Standard Form Of The Parabola?Enter

Answers

Answer 1

The equation of the parabola is:

(y - 6)² = -12(x +2)

Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.

The equation of a parabola is given by:

(y - k)² = 4p(x - h)

Where (h, k) is the vertex, (h + p, k) is the focus

Given the vertex of a parabola is (-2,6), and its focus is (-5,6).

Hence, k = 6, h = -2;

h + p = -5

-2 + p = -5

p = -3

Hence the equation of the parabola is:

(y - 6)² = -12(x +2)

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Related Questions

a touch of italy has a special offer on lunch pizza:$4.00 for each slide and they charge $2.00 to deliver.write an expression to determine how much it would cost to buy s slices of pizza

Answers

Answer:

Step-by-step explanation:

4 x 2 = 8

there fore, it would take 8 $ to buy 5 slices excluding the delvry.

so, 8 x 2 = 16

16$ total

pls give me brainliest

Y=4x+2
You can multiply the 4 by however many slices (x) and the 2 would be the y intercept


Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of minutes she ran and the
distance she covered proportional?

Answers

Answer:

Yes

Step-by-step explanation:

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional -  Yes, this is proportional.

Help homework due soon!!!

Solving a word problem using a system of linear equations:

Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?

Answers

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

[tex]\mathbf{B = \frac 13}[/tex]

Substitute 1/3 for B in 2A + 3B = 4

[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

[tex]\mathbf{A = 1\frac 12}[/tex]

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Read more about linear equations at:

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Car rental company A charges $15 to rent a car plus $2.30 per hour. Car rental company b charges $22 to rent a car plus $1.90 per hour. When would the cost of renting a car from company A be the same as renting a car from company B?

Answers

Answer: The cost of renting a car from Company A be the same as renting a car from company B in 17.5 miles

Step-by-step explanation:

y=2.30x +15

y=1.90x +22

0.4x +7 Divide 0.4 from both sides

x=17.5

y=2.30(17.5)+15

y=40.25+15

y=40.25-15

y=25.25

59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder

Answers

Answer:

14 R3

Step-by-step explanation:

the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56

Answer: 14R3

Step-by-step explanation:

X+3
=
ov*-
- (3)
ox-()*+1
O
+1
O
or-()***
X-1
+3
oy- ()
+1
-3

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

[tex]\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}[/tex]

[tex]\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1[/tex]

Graph attached

Nachelle wants to use a sheet of fiberboard 30 inches long to create a skateboard
ramp with a 19° angle of elevation from the ground. How high will the ramp rise from
the ground at its highest end? Round your answer to the nearest tenth of an inch if
necessary.

Answers

The height of the board is an illustration of Pythagoras theorem

The ramp will rise 10.3 inches from the ground

The angle of elevation is given as:

[tex]\mathbf{\theta = 19^o}[/tex]

The length of the board is given as:

[tex]\mathbf{l = 30}[/tex]

The height h is calculated using the following tangent ratio

[tex]\mathbf{tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{tan(19) = \frac{h}{l}}[/tex]

This gives

[tex]\mathbf{tan(19) = \frac{h}{30}}[/tex]

Make h the subject

[tex]\mathbf{h = 30 \times tan(19)}[/tex]

[tex]\mathbf{h = 10.3}[/tex]

Hence, the ramp will rise 10.3 inches from the ground

Read more about heights at:

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make x the subject of the formula
y=a √x

Answers

Answer:

Y^2/a = x

Step-by-step explanation:

Y = a sqr X

Square both sides

Y^2 = a * x

Divide a

Y^2/a = x

Answer:

[tex] x = \dfrac{y^2}{a^2} [/tex]

Step-by-step explanation:

[tex] y = a\sqrt{x} [/tex]

Square both sides.

[tex] (y)^2 = (a\sqrt{x})^2 [/tex]

[tex] y^2 = a^2(\sqrt{x})^2 [/tex]

[tex] y^2 = a^2x [/tex]

Divide both sides by a².

[tex] \dfrac{y^2}{a^2} = x [/tex]

Switch sides.

[tex] x = \dfrac{y^2}{a^2} [/tex]

What is the square of the sum of five and a number diminished by 6?

Answers

Step-by-step explanation:

A number diminished by 6:

n - 6

Sum of 5 and a number diminished by 6:

5 + n - 6 = n - 1

The square of the sum of five and a number diminished by 6:

(n - 1)² =n² - 2n + 1

What is the value of f(x), if x is -8?

Answers

Answer:

-8f

Step-by-step explanation:

you will substitute in the numbers and multiply

Because f is a variable you write the -8 and attach the f to it

The value of function for given x value is -1.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=-(x+8)²-1.

Substitute x=-8 in the given function, we get

f(-8)=-(-8+8)²-1

= -0-1

= -1

Therefore, the value of function for given x value is -1.

To learn more about the function visit:

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#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

What is the value of f(x)=-(x+8)²-1, if x is -8?

what is the answer Factorise: 2x² +7x+6.

Answers

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

Answer:

11[tex]x[/tex]+6

Step-by-step explanation:

2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]

since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]

Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6

What is the meaning of the statement ((30) =76?

Answers

Answer:

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) [tex]f(x)=-0.4x+88[/tex]

Step-by-step explanation:

A)

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

[tex]f(30)=76[/tex]

Which implies that:

[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house

[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

B)

Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the house is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

[tex]f(x)=mx+q[/tex]

where

[tex]q[/tex] is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

[tex]m=\frac{76-88}{30-0} =-0.4[/tex]

which means that the temperature decreases by 0.4°F every minute. So, the function can be written as

[tex]f(x)=-0.4x+88[/tex]

What is the slope of this line?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.

I see 2 such points :

(-2, 3) and (0, -3)

x changes by +2 (from -2 to 0)

y changes by -6 (from 3 to -3)

the slope is -6/+2 = -6/2 = -3

Brainests anser fast pls

Answers

The student used the diameter in the calculation instead of the radius. The correct volume is 1155.5.

Would appreciate the brainly <3


The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?

Answers

Answer is (x - 2).

- BRAINLIEST answerer

PLEASE HELP!
Please give me the correct answers! No links, please! If you do not know the answer please don't put anything down, Thank you!!!

Answers

Answer:

All of the above

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

Rational numbers that can be expressed as the fraction

It is a integer

a repeating non-terminating decimal

terminating decimal

-275[tex]\frac{1}{2}[/tex] --- this is a integer fraction -- rational

0 -- this is a whole number -- rational

56 --- natural number -- rational

34243.84 -- terminating decimal -- rational

-88/3 -- integer fraction -- rational

therefore all of the above are rational numbers

20x29 devided by 9+20=?



help​

Answers

Answer:

20

Step-by-step explanation:

[tex] \frac{20 \times 29}{29} = 20[/tex]

Answer:

20X29 devided by 9+20=84.4444444444

can someone please help me with this

Answers

Answer:

y-intercept =3

x-intercept =3/2

slope =-2

Step-by-step explanation:

y=-2x+3

0=-2x+3

2x=3

x=3/2

June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?

Answers

Answer:

rachel is 10

Step-by-step explanation:

45/3=15

15-5=10

Answer : 10

Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10

3. A cubic polynomial with rational coefficients has the roots 6+ Fo and. Find one additionalroot.
0-6-v6
06-16
0-6+ /6
06- 6

Answers

Answer:06-16

Step-by-step explanation:

There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.

Answers

estimated 15 over 100

Pls help thank you for those who put hard work

Answers

Step-by-step explanation:

given,

a = 18

given expression,

a + 8

a/q

18 + 8 = 26

therefore, correct answer is 26.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Simplify the following expression.

-14 × 3

A.
-42

B.
-56

C.
42

D.
-17

Answers

Answer:

The answer would be A. -42

What is the missing constant term in the perfect square that starts with x2 + 18x

Answers

Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81

URGENT HELPP
I need to:
think the difference between what occurred and what you would expect by chance is statistically significant. Explain

Of the 40 students in your mathematics class 35 have the same last name.​

Answers

Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

HELP!!!!! QUICK 100 pts to help me!!!!!! A 35 foot ladder rests against a window ledge that is 25 feet above the ground. How far is the base of the ladder from the base of the building? Round your answer to the nearest tenth. Show all work in the "show your work" box.

Answers

Answer:

24.5

Step-by-step explanation:

Apply the pythagorean theorem:

35^2-25^2=c^2

1225-625=c^2

600=c^2

c=24.5

Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)

Answers

Answer:

Graph Below:

This is slopes is this supposed to be negative or positive????

Answers

This slope will be zero

HELP THIS IS VERY IMPAORTANT

Answers

Answer:

The answer is the second option

Step-by-step explanation:

All you have to do is replace x with the data given.

Example: f(x) = 3[tex]x^{2}[/tex] - 6

x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6

x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3

x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 =  6

six times a number is 21 less than nine times the same number find the number​

Answers

Answer:

x = 7

Step-by-step explanation:

Algebra to Equation:

"six times a number is 21 less" = 6x + 21

"nine times the same number" = 9x

Equation: 6x + 21 = 9x

Solve:

6x + 21 = 9x       [tex]\longmapsto[/tex]       Subtract 6x from both sides

21 = 3x               [tex]\longmapsto[/tex]       Divide both sides by 3

7 = x

x = 7

-Chetan K

The answer is 7.
Hope this helped!
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