Match each equation with the type of conic section it
represents.

Match Each Equation With The Type Of Conic Section Itrepresents.

Answers

Answer 1

Therefore , the solution to the given problem of equation comes out to be 1. circle, 2. parabola, 3. ellipse and 4. hyperbola.

Define equation.

Expressions that equal one another are the building blocks of an equation. The equation 4x²+3x = 22. A equation is an equation that has at least two variables and depicts the relationship between them.

Here,

are the definitions of each equation:

1. x^2 + y^2 - 4x + 6y - 5 = 0

 The x2 and y2 terms share the same scaling factor, despite the fact that this equation contains a bunch of other garbage (which is 1). This ought to be screaming "circle" to you.

2. x^2 - 6y = 0

 The x term is squared, but the y term is not, which is an important distinction to make. A parabola is clearly indicated by this fact.

3. 4x^2 + 9y^2 = 1

This is the result of adding an x-squared and a y-squared phrase. That kind of sounds circular, but the results are scaled by those two coefficients. Additionally, they vary. So, a closed curve that resembles a circle but is slightly stretched out is what we're searching for. An ellipsis appears there.

4. 7x^2 - 9y^2 = 343

 A few squared terms for x and y are present here. However, we are removing rather than adding to them. This denotes a hyperbola.

Therefore , the solution to the given problem of equation comes out to be 1. circle, 2. parabola, 3. ellipse and 4. hyperbola.

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Related Questions

PLEASE HELP! ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

Area = 24 in.²

Step-by-step explanation:

Area of the parallelogram = base × height

base = 6 in.

height = h = ?

Use pythagorean theorem to find h

Thus:

h² = 5² + 3²

h² = 25 - 9

h² = 16

h = √16

h = 4 in.

Plug the values into the formula for area of parallelogram

Area = 6 × 4

Area = 24 in.²

What is the conditional frequency of a student who rides the bus being late to class first period?

Answers

Answer:

1/5

Step-by-step explanation:

The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.

Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students

Total number of students who rode the bus , total possible outcome = 15

Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)

Hence, we have ; 3 / 15 = 1 / 5

Gabby assumed she could sell 45 boxes of cookies by Friday, but she only sold 26 boxes. What was Gabby's percent error? ​

Answers

Answer:

73.07%

Step-by-step explanation:

Given that,

Actual value of sold cookies = 26

Assumed value of sold cookies = 45

We need to find Gabby's percent error. The percentage error in a value is given by :

Error = ](Assumed value - Actual value)/Actual value]× 100

So,

[tex]\%=\dfrac{45-26}{26}\times 100\\\\=73.07\%[/tex]

So, Gabby's percent error is equal to 73.07%.

Answer: 73.1

Step-by-step explanation: Although the answer is 73.07 if you're in Acellus they want you to round to the nearest percent so the answer should be 73.1

Please help, consider function f. F(x) = square root x-1 which graph represents function f?

Answers

Answer:

still waiting for the ai to solve it

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function f(x)=√(x-1), therefore, the function can be represented on the graph as is Y.

Hence, the correct option is C.

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who is the richest president in the world​

Answers

The richest president in the world is Sebastian Pinera, President of Chile with $2.4 billion.

How many sixteenths are there in 3/8 ?

Answers

6 sixteenths are in 3/8

Answer:

6 sixteenths 6/16

Step-by-step explanation:

8 x 2 = 16

3 x 2 = 6

What is the volume of the following triangular prism?

Answers

Answer:

450 in²

Step-by-step explanation:

All we do is find the area of the triangle at the base and top then  multiply by the height so:

5×12=60

60÷2=30 is the area.

Now as I said we multiply with the height to get our answer:

30×15=450 in²

Answer:

A

Step-by-step explanation:

base area = (leg 1 x leg2)/2 = (12 x 5)/2 = 30 in^2

V = base area x height of the prism = 30 x 15 = 450 in^3

PLEASE HELP ME BRIANLIEST THANKS, PROFILE THANKS, FRIEND REQUEST

(( you have to pull up the graph to fit the question))

Answers

Answer:

multiple answers

Step-by-step explanation:

1 dot above 1.25, 2 dots above 1.50, 3 above 1.75, 1 above 2.00, 3 above 2.25, one above 2.50, 1 above 2.75

hope it helps :)

What is the slope of the line that passes through the points (-6, -6) and
(-9, -5)? Write your answer in simplest form.

Answers

So basically what I do is find the formula for slope.

M= y2-y1/x2-x1


So I got

-5-(-6)/-9-(-6) = 1/3


answer = 1/3

:)

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important

Answers

Answer:

C

Step-by-step explanation:

Answer:

Area of a rectangle=LxW

There's 2 rec's there

For the first

A= 1/3.s

For the second

L=12

W= 1/3

A = 1/3 . ( 12)

Total Area = 1/3.s + 1/3(12)

Now This can also be simplified by factorization

Total Area = 1/3(s+12)

We factored out 1/3 from both sides.

The question asked to select ALL THE EXPRESSION That represents the total area.

SO OPTION C and E

-58 3 - 3 1 - 0
Solve.

Answers

Answer:

[tex]-9\frac{1}{4}[/tex]

Step-by-step explanation:

Rewrite our equation with parts separated

-5 - [tex]\frac{3}{4}[/tex] - 3 - [tex]\frac{1}{2}[/tex]

Solve the whole number parts

-5 - 3 = -8

Solving the fraction parts and Find the LCD

LCD = 4

[tex]-\frac{3}{4}[/tex] - [tex]\frac{2}{4}[/tex] = [tex]-\frac{5}{4}[/tex]

Simplify

[tex]-\frac{5}{4} = -1\frac{1}{4}[/tex]

Combine the whole and fraction parts

8 - 1 - [tex]\frac{1}{4}[/tex] = [tex]-9\frac{1}{4}[/tex]

Mark as Brainllest

Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.

Answers

Answer:

Step-by-step explanation:

100 POINTS plz dont answer unless you know how to solve this.

Answers

Answer:

31.9 mi

Step-by-step explanation:

AC/sin(angleABC) = AB/sin(angleACB)

p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?

Answers

Answer:

P. Sue uses 1/6 of the pitcher to fill 1 glass

Step-by-step explanation:

There are 9 players on a baseball team there are 6 teams in the league how many baseball players are in the league

Answers

Answer:

54

Step-by-step explanation:

Multiply 9 (players per team) and 6 (teams in the league) to find the total players in the league.

9 times 6 = 54

Abi is carrying 3 gallons of milk. Each gallon of milk weighs 8.6 pounds. Abi wants to know the total weight of milk he is carrying.
Abi draws the area model below to find the product of 3 and 8.6.
8
0.6
3
3 x 8 = ?
3 x 0.6 = ?
What is the total weight of the milk he is carrying?
Use the number pad to enter your answer in the box.

Answers

Answer:

25.8 pounds

Step-by-step explanation:

3 x 8.6 = 25.8

Don has 6 pieces of pipe. Each piece is 2 feet 6 inches long.

If Don joins the pieces end to end to make one long pipe, how long will the new pipe be?

The pipe will be
feet
inches long.

Answers

Answer: 15 feet

Step-by-step explanation:

First you start with 2ft and 6in and convert it all into into inches.

If you know that 1 ft=12in then you know that 2 feet is the same as saying

12+12=24. If you don't understand use this chart-

1 ft=12in

2ft= 24in

3ft= 36in

4ft =48in

5ft= 60in

6ft= 72in

see I am counting by 12's.

Now take 2ft and convert it into inches. That would be 24 in (look in the chart).

now take the 24in(2ft) and add it to the 6in. So 24+6 =30

So now you know that one piece of pipe is 30in long.

But in the text it states that Don has 6 pieces, so...

because it says that he has 6 pieces of pipe then you are going to take that and multiply that number(6) by how long each piece is. look up and it shows how long each pieces is. They are all each 30in long. Take 30 and multiply that by 6 because there are 6 pipes and you will get 120in.

But it says that they need an answer of feet and inches or just feet if it exactly a some sort of foot like 43feet or 2 feet.  

So then we are going to convert 180 into feet by dividing 180 by 12 and you get 15. So the answer is 15.

I hope this helps. Have fun learning!!

Answer:

The pipe will be 15  feet  0 inches long.

Step-by-step explanation:

1 pipe is 2 feet 6 inches long

There are 6 pieces

6×2= 12 feet                    6×6= 36 inches

The pipe will be 12 feet 36 inches long, however, there are 12 inches in a foot so we can covert the inches to feet

36 inches ÷ 12 inches = 3 feet

12 feet + 3 feet = 15 feet

The pipe will be 15  feet  0 inches long.

Evaluate the expression Z/8, or z 8 for each of the following values for Z:

20) Z = 10.2

21) Z = 92

22) Z = 16.016

23) Z = 5 4/9

Evaluate each expression below if m = 32 and n = 150

24) m/16, or m by 16

25) 2N - 200

26) 3/4M -12

Answers

Answer:

1.275

11.5

2.002

0.68

2

0

12

Step-by-step explanation:

Evaluate Z/8 for each :

Z = 10.2 ; 10.2 / 8 = 1.275

Z = 92 ; 92/ 8 = 11.5

Z = 16.016 ; 16.016 / 8 = 2.002

Z = 5 4/9 ; (49 /9) ÷ 8 = 0.68

Evaluate each expression below if m = 32 and n = 150

m/16 ; 32 / 16 = 2

2N - 200 ; 2(150) - 300 = 300 - 300 = 0

3/4M -12 ; 3/4(32) - 12 = 24 - 12 = 12

What is the multiplicative rate of change for the exponential function f(x)=2(5/2) in decimal form

Answers

The multiplicative rate of change for the exponential function is 0.4.

What is an exponential function?

The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

In mathematics, an exponential function has the following form: f (x) = an x, where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

Given: Exponential function [tex]$f(x)=2\left(\frac{5}{2}\right)^{-x}$[/tex]

To find The multiplicative rate of change for the exponential function.

Solution :

The general form of the exponential function is [tex]$f(x)=a b^x$[/tex]

where $b$ is the rate of change of the function.

First we write the given function In proper form:

[tex]$$\begin{aligned}& f(x)=2\left(\frac{5}{2}\right)^{-x} \\& f(x)=2\left(\frac{2}{5}\right)^x\end{aligned}$$[/tex]

The rate of change is [tex]$f(x)=a b^x$[/tex]

Therefore, The multiplicative rate of change for the exponential function Is $0.4$

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What is the difference In -4-(-7)

Answers

Answer:

Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.

An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________







(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________

Answers

a) The angular speed of the saw blade in radians per minute is;

460.77 radians per minute.

b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min

How to find angular and linear speed?

a) Angular speed is defined as the speed of the object in rotational motion

The formula of the angular speed is; ω = θ / t

where;

ω is the angular speed

θ is the angular rotation

t is the time taken.

We are given;

In one revolution, the angle made is 2π radian.

In 4400 revolutions = 2π * 4400 radian

= 8800π radians

We know that ,

1 hour = 60 minute.

Thus;

Angular speed = 8800π/60

= 460.77 radians per minute

b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;

s = rω

where;

s is the linear speed

r is the radius

ω is the angular speed.

radius = 8 ¼ -inch/2 = 33/8 inches

Conversion from inches to feet gives;

33/8 inches = 0.34375 ft

Thus;

s =  0.34375/460.77

s = 7.46 * 10⁻⁴ ft/min

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Select the correct answer. Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? gx+2f(x)=2(2>x) A. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2. B. The graph of g(x) is the graph of f(x) shifted to the right by a factor of 2. C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2. D. The graph of g(x) is the graph of f(x) shifted up by a factor of 2.

Answers

Answer:

the answer to your question is A

Step-by-step explanation:

The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

Option A is correct.

What is a Function?

A mathematical phrase that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given the function f(x) and the function g(x), also we are given the equation which related the functions f(x) and g(x).

We have to find the transformation that f(x) will undergo in order to get the graph of the function g(x).

From the given data:

f(x) = 2x

g(x) + 2f(x) = 2

∴ g(x) = 2 - 2f(x)

Now from the above equation we can clearly see that when 2 will be multiplied in f(x) its graph will be stretched horizontally by a factor of 2.

The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

Hence, The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

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An international company has 22400 employees in one country. If this represents 18.3 of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.

Answers

The total number of employees that this company would be said to have is given as 122424

How to solve for the number of employees

How to solve for the number of employees in the company

We know that the number of employees in one country is 22400, and that this represents 18.3% of the company's employees in total.

We can use this information to set up a proportion to find the total number of employees in the company.

Employees in one country / Total employees = 18.3 / 100

22400 / X = 18.3/100

To find the total number of employees, we can cross-multiply and divide:

X = (22400 * 100) / 18.3

X = 122424

So the company has a total of 122424 employees.

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Josh and Diego are comparing how much candy they have. Josh has five boxes and fifteen loose candies. Diego has six
boxes and three loose candies. However, they each have the same total amount of candy. If there are the same number of
candies in each box, how many pieces are in a box?
3. Equation:
4. Number of pieces in each box:

Answers

The solution of given algebra question is-The number of candies in each box is 12.

What are the Algebra Basics?

In algebra, the fundamental concepts are numbers, parameters, constants, expressions, coefficients, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.

What is the algebraic first rule?

Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.

According to given information:

Let the number of candies in the box be x

Total candies with Josh=5x+15

Total candies with Diego=6x+3

Since, they have same number of candies,

Hence,

5x+15=6x+3

6x-5x=15-3

x=12

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Kevin hopes to earn a college basketball scholarship. To improve his shooting skills, Kevin shoots 50 baskets / day. If Kevin shoots 50 baskets every day for 60 days, how many shots will Kevin take?

Answers

The answer is 3000 shots

What do the properties of polynomial addition mean? Complete each statement.
The closure property states that the sum of two polynomials is a
The commutative property states that changing the order of two or more terms
~ the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum
the value.

Answers

The Complete statement are:

The closure property states that the sum of two polynomials is a polynomial.

The commutative property states that changing the order of two or more terms does not change the value of the sum.

The associative property states that the way in which two or more terms are grouped in a sum does not change the value of the sum.

What is the properties of polynomial addition about?

The properties of polynomial addition include closure, commutativity, and associativity.

These properties of polynomial addition make it easy to perform arithmetic operations with polynomials because they have predictable results and the order in which the polynomials are grouped or ordered does not change the final result.

Therefore, In simple terms, closure property ensures that the sum of two polynomials is also a polynomial, commutative property ensures that the order of the polynomials does not change the sum and the associative property ensures that the grouping of the polynomials does not change the sum.

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Answer:

Step-by-step explanation:

mila was baking cookies this weekend. she took 3 over 20 of the cookies to school on monday. and she gave 7 over 20 of the cookies to her neigbor. how much of the cookies did she gave away?
A
G
O
N
S

A

Answers

Answer:

Step-by-step explanation:

As she is baking cookies = 3/20

she egave it to her neigbour = 7/20

Remaining = ?

R = 3/20 -7/20 = -1/5

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4 in and the height of the pyramid is 9.6 in. Round your answer to the nearest tenth of a cubic inch.​

Answers

9514 1404 393

Answer:

  21.6 in³

Step-by-step explanation:

The volume of a square pyramid is given in terms of perimeter and height by ...

  V = (1/48)P²h

  V = (1/48)(10.4 in)²(9.6 in) ≈ 21.6 in³

The volume is about 21.6 cubic inches.

1. In the diagram below which expression represents x, the measure of the exterior angle shown?

Answers

Answer:

a) a + b

Step-by-step explanation:

The value of the exterior angle x will be (a+b).

What is an exterior angle?

The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.

The exterior angle is the sum of the two opposite internal angles of any figure.

The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.

Therefore the value of the exterior angle x will be (a+b).

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Jacob runs 2652 yards in 15 minutes. Michael runs 7920ft in .375 hours. who will win the race?

Answers

Answer:

I think Jacob wins the race

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