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find the equation for the parabola with vertex (4,6) and focus (4,9) .

Answers

Answer 1

Answer:

Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.

Vertex form: y=(x−4)212+6y=(x−4)212+6.

No intercept form.

Vertex: (4,6)(4,6).

Focus: (4,9)(4,9).

Eccentricity: 11.

Directrix: y=3y=3.

Latus rectum: y=9y=9.

The length of the latus rectum: 1212.

Axis of symmetry: 

Step-by-step explanation:

from parabola calculator-eMathHelp

I hope it helps.


Related Questions

Victoria uses
3/16
cup of flavored syrup to make an Italian soda. She has 2 cups of flavored syrup left. How many Italian sodas can she make?
A.
9 3/8
B.

10 2/3
C.

11 1/4
D.

12 1/2

Answers

Answer:

B. or 10 2/3

Step-by-step explanation: Because if she had only 2 cups left then 1 cup can make 5 drinks so 10 then the rest would be a fraction.

She can make 32/3 of Italian sodas with 2 cups of flavored syrup.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Victoria uses 3/16 cups of flavored syrup to make an Italian soda.

Assume that 3/16th of x is 1.

∴ (3/16)x = 1.

3x/16 = 1.

3x = 16.

x = 16/3,

Now from 2 cups of flavored syrup, we can make 2x of  Italian soda.

Which is (16×2)/3.

= 32/3

learn more about fractions here :

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This is 8 grade math plZ help me I’m stuck

Answers

9514 1404 393

Answer:

  y = -3/4x -1

Step-by-step explanation:

The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.

The slope of the perpendicular line will be the negative reciprocal of this:

  -3/4

Then the slope-intercept form equation will be ...

  y = -3/4x +b . . . . . . for some b

We can find the value of b that makes the line go through (4, -4) by using those values in this equation.

  -4 = -3/4(4) +b

  -4 +3 = b . . . . . . . . add 3

  -1 = b

Then the equation you're looking for is ...

  y = -3/4x -1

The line plot shows the number of hours students in Mrs. Timberlake’s class worked on a project. How many students are included in the data?

Answers

15 students are in Mrs Timberlake's class

Answer:

15

Step-by-step explanation:

I got this answer because I just added up all the x's.

1=3

2=2

3=5

4=3

5=2

3+2= 5

5+5=10

10+3=13

13+2=15

People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Ummmmmmm try using those things that help ppl with math

Select the two correct factors of the polynomial:​

Answers

Answer:

(x + 6)

(x - 7)

Step-by-step explanation:

To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B

B = -1

C = -42

Factors of 42:

1, 2, 3, 6, 7, 14, 21, 42

6 and -7 multiply to -42 and add to -1

Write in factored form:

(x + 6)(x - 7)

Answer:

(x - 7)(x + 6)

Step-by-step explanation:

Given

x² - x - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6 , since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

x² - x - 42 = (x - 7)(x + 6)

Anyone know??
8. What is the slope of the line that passes through the pair of points? (3.-4), and (6.-9)? (1 point)

Answers

Answer:

-5/3

Step-by-step explanation:

y2-y1      -5

--------- =  ---

x2-x1 .     3

Pls help :( wll mark branliest

Answers

Answer:

proportional

Step-by-step explanation:

Who has
✨ A n x i e t y ✨

Answers

Answer:

yupyup

Step-by-step explanation:

been having it for years now

Find the zeros of the polynomial
function and state the multiplicity of
each

Answers

Hi the answer zero ther u go

Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?

Answers

7 because that’s just the right answer duhhhhhhh

What is the slope of the line.

Answers

Answer:

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

Step-by-step explanation:

How do solve this question? Find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form. With the equation 2x + 5y= -10 point (10, 4).

Answers

Answer:

y = -2/5 x + 8

Step-by-step explanation:

First we need to find the slope of the given line;

Given the line 2x + 5y= -10, we need to write it in standard form of y = mx+c

Make y the subject of the formula;

2x + 5y= -10

5y = -2x-10

y = -2x/5-10/5

y = -2x/5 - 2

Hence the slope of the line m = -2/5

Since the equation of the line we need is parallel to this line, hence they will have the same slope.

The slope of the required line = -2/5

Get the intercept;

Substitute the point (10,4) and m = -2/5 into the equation y = mx+c

4 = -2/5(10)+c

4 = -4 + c

c = 8

Get the required equation;

y = mx+c

y = -2/5 x + 8

Hence the equation of a line parallel to the given line and contains the given point is y = -2/5 x + 8

Slope:

Y-Intercept:

Equation:
pls help

Answers

Answer:

Slope: 4

Y-interecept: -2

Step-by-step explanation:

To find the slope, use rise over run. Go up from the y-intercept and over until you hit another exact point.

To find the y-intercept, just find the point that is on the y-axis.

y intercept is -2 and the slope is 3

Simplify each pair of solutions as much as possible. Identify each pair of numbers as RATIONAL, IRRATIONAL, or COMPLEX/IMAGINARY.

Answers

Answer:

irrational duh

Step-by-step explanation:

Bianca walked
Which turtle has the fastest speed?
Michele walced
The speed of a turtle can be found by
distance by time
Vis the fastest turtle
The speed of the fastest turtle is centimeters per
minute.
Siema walked
18 min 6 minutes
Help me I’m stuck on this problem ok

Answers

Answer: The  speed of the turtle can be found by dividing distance by time.

Michelle is the fastest turtle.

The fastest turtle is 6cm per minute

First turtle walks 3cm a minute

Second turtle walks 6cm a minute

Third turtle also walks 3cm a minute

its d b and d                                    

hope this help a lot  of people thank you for the points also have a good day                                                                                                        

Miss Johnson gave a $1.50 tip to a waitress for serving a meal costing $10.00. What percent of the bill was her tip? PLZ ANSWER THIS ILL GIVE YOU A FOLLOW 50 POINTS ASAP

Answers

Answer:

it's 15 percent

Step-by-step explanation:

1% = 0.10

2% = 0.20 and so on

so we know that 1% is 0.10 so if you multipy 15 x 10= 150 and if you do 1.50 divieded by 10 you would get 15 :)

(sorry if this is wrong)

The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.

Answers

Answer:

After one year, the car will be worth $1,275.

Step-by-step explanation:

We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.

1,500 x 0.15 = $225.

Now, me must subtract $225 from the initial value, or $1,500.

1,500 - 225 = $1,275

Therefore, after one year, the car will be worth $1,275.

Hope this helps! :D

Which of these processes are chemical reactions? Select ALL correct answers

boiling an egg

crushing spices

vegetables rotting

chopping vegetables

dew forming

Answers

Answer:

boiling en egg

veg rotting

dew forming

Step-by-step explanation:

just remember

rotting is ALWAYS a chem reaction

Answer:

boiling an egg and vegetables rotting

What is the equation of the line through (2,-4) and (0,4)?

Answers

Answer:

y = -1/4x + 4

Step-by-step explanation:

y2-y1/x2-x1

I need help filling this table can you guys help me

Answers

Answer:

3, 5, then 7 (From top to bottom)

Step-by-step explanation:

Well, if the rule is y = x + 3, then we just have to plug in the x values. Add 3 to each x value.

what is 9+10+10000000000000000+2000000000000000000+99999999999999999999999999999999999999999999

Answers

Answer:

1e+44

Step-by-step explanation:

Answer:

1e+44

Step-by-step explanation:

Two angles in a right triangle has angle measures of 90° and 50°. What is the measure of the third angle?

Answers

it’s 40 degrees!
a triangles angles add up to 180 degrees, so 90 + 50 equals 140 and subtracted form 180 is 40

suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?​

Answers

Answer:

[tex]b[/tex] decreases by [tex]1[/tex]

Step-by-step explanation:

If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].

Example:

Suppose [tex]a=7[/tex]  and [tex]b=3[/tex].

[tex]a+b = 10[/tex]

[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)

Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):

[tex]b = 10-8[/tex]

[tex]=2[/tex]

From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].

Hope this helps :)

A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from ils starting point?​

Answers

Answer:

132 miles

Step-by-step explanation:

Answer: the answer is 93.7 miles

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer:

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Step-by-step explanation:

Given,

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Keywords: linear equation, addition

Step-by-step explanation:

PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!

Answers

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]

A sporting goods store bought a ski set at a cost of ​$432. ​Later, the ski set was marked down 10​% from its selling price and then marked down another 20​%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.

Answers

Answer:

The original selling price of the ski set is $600

Step-by-step explanation:

The cost price of the ski set = $432

The first percentage mark down of the ski set = 10% from its selling price

The first percentage mark down of the ski set = 20% from its selling price

Let x represent the original selling price of the ski set at the sporting goods store, we are given;

80/100 × (90/100 × x) = The cost price of the ski set

Therefore, we have;

80/100 × (90/100 × x) = 432

0.72 × x = 432

x = 432/0.72 = 600

Therefore, the original selling price of the ski set, x = $600

I'd really appreciate your help, please no joke answers

Find the distance from (7, -4) to y+3x - 5

Procedure would be apreciated

Image attached and an explaination I don't fully understsand

Answers

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       [tex]\sqrt{3^{2} } + (-1)^{2}[/tex]

d = | 20 | / [tex]\sqrt{10}[/tex]

d = 20 / [tex]\sqrt{10}[/tex]

d = 2[tex]\sqrt{10}[/tex]

6) Which is an equation of the line with a slope of -4 and a y-intercept of -2?
x - 4y = 8 x + 4y = -8
4x + y = -2
4x - y = 2

Answers

Answer:

its 4x+y-2 I think but I am not totally sure

Step-by-step explanation:

If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?

Answers

Answer:

(f*g)(5.7)= -452.6, hopefully that answers your question

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