write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7

x=​

Answers

Answer 1

Answer:

hope this helps

Step-by-step explanation:

Write The Equation For A Parabola With A Focus At (-3,-5) And A Directrix At X=-7x=
Write The Equation For A Parabola With A Focus At (-3,-5) And A Directrix At X=-7x=
Answer 2

equation for a parabola is:

What is parabola?

The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.

Given: focus= (3,-5), directrix at x =-7.

To find equation of parabola we will use distance formula,

√(x+7)²=√(x+3)² + (y+5)²

(x+7)²=(x+3)² + (y+5)²

x²+14x+49= x²+9+6x + (y+5)²

8x + 40 = (y+5)²

x= (y+5)²/8 -5

Hence, the equation of parabola is x= (y+5)²/8 -5

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Related Questions

In the diagram below, AB, BC and CD are three sides of a regular polygon.
The polygon has 15 sides.
The length of each side is 8 cm.
The exterior angle of the polygon is x.
BRC is a right-angled triangle.
Calculate the length of BR.
Thanks in advance

Answers

Answer:

BR is about 7.3084 cm

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24

since I want BR, I will use cos (adj/hyp)

cos24=s/8

.9135=s/8

7.3084=s

Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l

Answers

Step-by-step explanation:

all working is above

hope that helps


The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000

Answers

Answer is b hope this helps

Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14

Answers

Answer:

17

Step-by-step explanation:

1) Simplify the product using the distributive property.
(x-2)(x+4)

Please help me answer this question

Answers

x^2 + 2x -8
Hope this helps :))

If f(x)=1−x^2 +x^3 , then f(−1)=

Answers

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(-1) = 1 - (-1)² + (-1)³Exponents:                                                                                                        f(-1) = 1 - 1 - 1Subtract:                                                                                                            f(-1) = -1

Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried a 10 percent interest rate?

Answers

Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

PMT=85

FV=1000

CMPT PV get 919.98

To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

which is 453.4687

Find the present value of the final ballon payment

1000*(1/1.1)^8

which is 466.507

take the sum

466.507+453.4678= 919.98

Need some help with this soon!

Answers

Answer:

f(x)=|x+6|

Step-by-step explanation:

because it is moving the function without changing the slope

Which of the following ratios is not 2:5

A. 40:100

B. 10:20

C. 16:40

D. 6:15

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

10 : 20

In its simplest form

1 : 2

h(x) = x^2+ 2x- 6
what’s the answer

Answers

It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.

-9x - 12 = -3
Step By Step Pls

Answers

Answer:

x = -1

Step-by-step explanation:

-3 +12 = 9

-9x = 9

-9(-1)=9

9 - 12 = -3

-9x-12=-3
Multiply by -1
9x+12=3
Divide by 3
3x+4=1
Subtract 4
3x=-3
Divide by 3
x=-1

Rewrite the quadratic function below in Standard Form.
y = (x - 4) (x + 3)

Answers

the standard form of a quadratic formula is

y = ax^2 + bx + c

in this case you will solve using foil method

(× - 4)(x + 3)

(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))

x^2 + 3x - 4x -12

x^2 - x - 12

therefore

y = x^2- x - 12

hello if anyone would pls help

Answers

Answer:

x = 12

Step-by-step explanation:

It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.

6×9= 72

72-2 = 70

It adds up.

Hope this helps.

Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]

Calculating the sampling distribution of the sample mean:

[tex]\to \mu=\mu_\bar{x}=650[/tex]

Calculating the sampling distribution of the standard deviation:

[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]

The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.

Answers

Answer: 69

Step-by-step explanation: EZ

Practice:

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
180°

a. (-1, 0)
b. (0, 1)
c. (0, -1)
d. (1, 0)

Please select the best answer from the choices provided

Answers

Answer:

A. (-1, 0)

Step-by-step explanation:

I calculated it logically

Please help me with this

Answers

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

The sides of a square are all increased by 2 inches. The area of the NEW square is 49
inches squared. What is the length of a side of the original square?

A: 4.5 inches
B: 9 inches
C: 5 inches
D: 2 inches

Answers

9514 1404 393

Answer:

  C:  5 inches

Step-by-step explanation:

The length of the sides of the new square is the square root of the area:

  s = √A = √49 = 7

The original square had sides 2 inches shorter, so they were ...

  7 in -2 in = 5 in . . . . side length of original square

please helpp me with this assignment

Answers

5^3 = 125
2^-4 = 1/16
5^-2 = 1/25
2^5 = 32

Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover

Answers

Answer:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

Amount of beef leftover     2 lb

Amount of onions leftover   0

Amount of  Special Sauce leftover 61

Amount of Hot Sauce leftover   9

Step-by-step explanation:

Ingredients              Beef      Onions    Special S   Hot S      Profit  

Wimpy  (x₁)                   1              2                5              0             0.6

Dial 911 (x₂)                   1              2                2              5             0.55

Fire Bowl (x₃)                1.5           2                3              6             0.65

Available                       15            20             90             60        

Objective Function z:

z  =  0.6*x₁  +  0.55*x₂  +  0.65*x₃      to maximize

Subject to:

1) Quantity of beef : 15

x₁  +  x₂  + 1.5*x₃  ≤  15

2) Quantity of onions:  20

2*x₁  +  2*x₂  +  2*x₃  ≤  20

3) Quantity of Special sauce: 90

5*x₁  + 2*x₂  + 3*x₃  ≤  90

4) Quantity of hot sauce:  60

0*x₁   + 5*x₂  + 6*x₃  ≤  60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃  ≥  0.1 ( x₁  +  x₂   +  x₃ )     or    x₃    ≥   0.1*x₁  +  0.1 *x₂  + 0.1*x₃

x₃   -   0.1*x₁  -  0.1 *x₂  - 0.1*x₃   ≥  0

-   0.1*x₁  -  0.1 *x₂   +    0.9 *x₃   ≥  0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃  -  x₂  ≤  3

7)the available number of servings for Dial 911 must be at least 2.

x₂  ≥  2

General constraints:

x₁  ≥   0           x₃   ≥ 0    all integers

With on-line solver solution  is:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

By sbstitution on the constraints

1)   x₁  +  x₂  + 1.5*x₃  ≤  15               1 + 3 + 9  = 13

Amount of beef leftover     2 lb

2)  2*x₁  +  2*x₂  +  2*x₃  ≤  20          2 + 6  + 12 = 20

Amount of onions leftover   0

3) 5*x₁  + 2*x₂  + 3*x₃  ≤  90             5  + 6  + 18 = 29

Amount of  Special Sauce leftover 61

4)0*x₁   + 5*x₂  + 6*x₃  ≤  60             15  +  36  = 51

Amount of Hot Sauce leftover   9

HELPPPPPPP SUMMMMBODYYY

Answers

B or A. I'm not sure, because i learned this 5 years ago, but it is a or b. the only reason i dont know which one is because i forgot what a filled in dot, versus a circle means. on point 3 on your number line, there's a circle, and there's a dot on answer A and answer B respectively. if memory serves, it should be B

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. ​NO LINKS!!!

Answers

9514 1404 393

Answer:

  4) ΔEFG ~ ΔECD

  6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

  EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

  EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

  ΔEFT ~ ΔECD

__

6) Shortest to longest, the given sides have ratios ...

  UT : TV = 71 : 84 (reduced)

  GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?

Answers

Answer:

Aisha would pay 21 dollars for 8 slices.

Equation 2x(x=number of slices)+5

Step-by-step explanation:

Click on picture to see

Answers

Answer:

none of above

Step-by-step explanation:

In XYZ the measure of Z=90 ZY=7, XZ=24 and YX=25 what ratio represents the cosine of X?

Answers

Answer:

24/25

Step-by-step explanation:

on delta math

The ratio of cosine of angle X is 24/25.

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given a right triangle, XYZ with angle Y equals 90° and  ZY=7, XZ=24 and YX=25

The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,

Here, Cosine of angle X = XZ/YX

cosX = 24/25

Hence, The ratio of cosine of angle X is 24/25.

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Describe how to graph the solution of y ≤ −x2 + 2x.

Answers

Answer:

See graph and explanation

Step-by-step explanation:

Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.

Find the slope of the line that passes through the points (-6,-2) and (-7,2)

Answers

Answer:

-4

Step-by-step explanation:

the steps are in the pic above

ames has 268 cookies to put into bags. Each bag holds 8 cookies.

If James uses as many of the cookies as possible, how many bags can he make, and how many cookies are left over?

Enter your answers in the boxes.

Answers

Step-by-step explanation:

Total amount of cookies= 268

One bag can hold 8 cookies

268 / 8 = 33 (remainder 4)

He can make as many as 33 bags, and there are 4 cookies left over.

2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer

Answers

Answer:

9x + 5y

Step-by-step explanation:

Here, in 2x + 5y+ 7x,   the 'like terms' are 2x and 7x, and the sum of these terms is 9x.  Thus, 2x + 5y+ 7x becomes 9x + 5y.

Find the area of the shape below


No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points​

Answers

Answer: 2200

Step-by-step explanation:

First we will find the area of the triangle, the formula for that is bh/2

(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.

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