Which conic section is represented by the following equation?

5x^2 – x + 5y^2 – 3y + 4 = 0

circle
ellipse
parabola
hyperbola

Answers

Answer 1

Answer:

3 rd one

Step-by-step explanation:

Answer 2

The conic section represented by the given equation is Circle.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Expanding, we get,

x² - 2hx + h² + y² - 2ky + k² = r²

x² - 2hx + y² - 2ky + (h² + k² - r²) = 0

The given equation is,

5x² – x + 5y² – 3y + 4 = 0

This is same as the standard form of the circle.

Hence the given equation is that of a circle.

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Related Questions

Which graph represents exponential decay?

Answers

Answer:

c

Step-by-step explanation:

Edge 2020 - 2021

Good luck on your quiz :)

Graph (a) represents an exponential decay.

Here, two graph are shown and we have to check which represent exponential decay.

What is exponential decay?

Exponential decay occurs when a quantity decreases by the same factor over equal intervals of time.

Now,

From the graph, we have

In graph (a), as x increases the function decreases.

Hence this graph shows exponential decay.

In graph (b), as x increases the function increases.

So, Graph (a) represents an exponential decay.

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Is the statement true or false?
4 - 2(3 + 7) = 4 – 2.3+2.7

Answers

Answer:

Step-by-step explanation:

4-2(3+7)=4-2.3+2.7

4-2(10)=4+0.4

4-20=4.4

-16=4.4 which clearly is false


Johannes has a budget of $300 to buy replacement team uniforms. He needs 18 pairs of pants and 12 shirts. The inequality 18r+12y < 300 models the relationship where represents the cost of each pair of pants and
y represents the cost of each shirt
Which graph correctly models the inequality?m

Answers

Answer:

D

Step-by-step explanation:

Answer:4/2-4x hope that hos

Isabel has just started a photo-sharing website and she is preparing for a presentation for an investor. Her site has 150 users and is growing by 25 users per day. Her competitor's site has 600 users and is growing by 10 users per day.

Answers

Answer: See Explanation

Step-by-step explanation:

Your question isn't well analysed but I guess that you want to calculate when both of them will have same number of users.

Let the number of days that both of them will have thesame number of competitors be x.

Therefore,

150 + 25x = 600 + 10x

25x - 10x = 600 - 150

15x = 450

x = 450/15

x = 30

They'll have same competitors by the 30th day.

The number of competitors will be:

= 150 + 25x

= 150 + 25(30)

= 150 + 750

= 900

Tre mom lawns each week during the summer. He earns $16.25 per lawn. Which of the following is the algebraic expression that shows the amount of money he earns in weeks if he mows 3 lawns per week

Answers

Answer:

$

$fktstwiat8atia8at8tew5d9hs9h9sysy9s

f(-2) = 3(-2) - 3 show work

Answers

Answer:

f(-2)=-9

Step-by-step explanation:

3*-2=-6. -6-3=-9.

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.

On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0).

Which statements are true about the trapezoids? Select three options.

The length of side AD is 8 units.
The length of side A'D' is 4 units.
The image is larger than the pre-image.
Sides CD and C'D' both have the same slope, 2.
The scale factor is One-half.

Answers

Answer:

True, True, False, False, True

Step-by-step explanation:

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.

Scale factor is 1/2 according to the coordinates.

The answer options

The length of side AD is 8 units.

AD = 4 - (-4) = 8True

The length of side A'D' is 4 units.

A'D' = 2 - (-2) = 4True

The image is larger than the pre-image.

False. It is 2 times smaller.

Sides CD and C'D' both have the same slope, 2.

Slopes of CD and C'D' are same: m = (0 - 4)/(4 - 2) = -4/2 = -2

False

The scale factor is One-half.

True

Answer:

A,B,E

Step-by-step explanation:

Awad claims that when m is a negative integer and n is a positive integer, n-m is
always negative. Is Awad's claim true or false? Explain your reasoning. If it is true,
give an example to support his claim. If it is false, give a counterexample. Explain
your reasoning. Help

Answers

no ablo inglés solo español perdón por no responderte

answer sooon pls i will give thebrainliest for the correct answer☺

Answers

the correct answer is 5

45 is 100% of what number?
What’s the answer?

Answers

Answer:

45 is 100% of 45

Step-by-step explanation:

Answer: 45 is 100% of 45

Step-by-step explanation:

PLEASE HELP AND TELL ME HOW YOU DID IT I HAVE TO SHOW work !! Jeans are on sale for 40% off the jeans Justin wants to buy them marked with an original price of 80 what is the total cost in dollars for a pair of jeans at the sale price including a 7% tax

Answers

Okay, if the jeans were originally $80, take 40% off of that (40% of 80 is 32) so you’d get 48. Now take 48 and multiply by 1.07 (to get 107% of the $48, to find a percentage you can move the decimal place left 2 digits and multiply), so Justin would pay $51.36 in total.

PLEASE ANSWER QUICK!!Describe the connection between the y intercept of a polynomial function and the
function's rational roots.

Answers

The y intercept is the opposite value of x. But the polynomial function is always negative.

Can someone also help me with this math problem pls

Answers

Answer:

19⅔k + 14

Step-by-step explanation:

3⅔k + ⅓(42) + ⅓(48k)

3⅔k + 14 + 16k = 19⅔k + 14

Answer:

2 • (40 k + 21)

___________

3

Please help with this it's urgent!!! Please explain your answer and I will mark brainliest!!!

Answers

Answer:

Step-by-step explanation:

reasons

2) vertical angles are congruent

4) SAS

B.vertical angles is the correct answer tot he question

Karen wants to save money to buy her mom airplane tickets. The tickets cost $450 and there is a 9% tax. How much is the tax

Answers

The tax is $40.5
Take the ticket cost and multiply it by the decimal version of the percent (%9=.09) and that’s how much the tax is

Michael writes down 4 different factors of 60
He adds the 4 factors together.
He gets a number greater than 20 but less than 35
What 4 factors could Michael have written down?
Input note: write them from smallest to biggest, separated with commas, i.e. 1, 2, 3, 4​

Answers

Answer:

34+(-12) =22

Step-by-step explanation:

because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers

Find the length of CD.
PLEASE HELP quickkkk

Answers

Answer: see below

Step-by-step explanation:

Just apply Proportionality Theorem at correct time, with correct proportions, It tells, the ratio of two corresponding arms always equal.

So, 1) AB/BC = AJ/JI

2.5/2.25 = AJ/1.8

AJ = 2.5* 1.8 / 2.25

AJ = 2

2) BC/CD = JI / IH

2.25/CD = 1.8/1.2

CD = 2.25 * 1.2 / 1.8

CD = 1.5

3) CD/DE = IH/HG

1.5/3.5 = 1.2 / HG

HG = 1.2 * 3.5 / 1.5

HG = 2.8

4) For GF, we should use "Pythagoras Theorem"

h² = a² + b²

GF² = 6.5² - 6²

GF² = 42.25 - 36

GF = √6.25

GF = 2.5

5) Perimeter = 2.5 + 2.25 + 1.5 + 3.5 + 6.5 + 2.5 + 2.8 + 1.2 + 1.8 + 2

P = 26.55

6) Area = 1/2 * b * h

A = 1/2 * 9.65 * 10.3

A = 49.70

Hope this helps!

ayo help me :)

Which angle has the same degree measure as a half circle?


acute angle


obtuse angle


right angle


straight angle

none of the above

Answers

Answer:

Straight angle

Step-by-step explanation:

Half circle is 180 degrees

Question 6
Select the option that best describes the relationship
between the variables on the scatter plot.
45
No association
40
35
30
Negative, linear association
25
20
Positive, linear association
15
10
5
Positive, non-linear association
0

Answers

Answer:

positive, non-linear association

The given scatterplot is option C. Positive Linear Association.

What is Scatterplots?

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot.

A scatterplot is positive if an increase or decrease in one of the quantity results in the corresponding increase or decrease in the other quantity.

If it is opposite, then the relation is negative.

Here, when the x value increases, y value is also increasing.

So the relationship is positive.

A scatterplot show a linear relationship, if the values are closely resembling in a line.

Here the points are closely resembling on a line.

So it is linear.

Hence the relationship is positive linear relationship.

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PLS HELP AND SHOW CHECK AND WORK ME AND MY FRIEND NEED HELP

Answers

Answer:

1) k = -10

2) n = -4

3) a = -9

Step-by-step explanation:

1) -4 = 6 + k

*we want to get k alone, so we will subtract 6 from both sides*

-4 = 6 + k

-6   -6

-10 = k

*in order to check this, we will plug the value we found for k, -10, into the original equation*

-4 = 6 + k

-4 = 6 + (-10)

-4 = -4

*this is correct because -4 = -4, so that is how we check*

2) -4n = 16

*we want n alone, we must divide by -4 on both sides*

-4n = 16

n = -4

*in order to check this, we plug what we found for n, -4, into the original equation*

-4n = 16

-4(-4) = 16

*a negative multiplied by a negative is a positive!*

16 = 16

*this is correct because 16 = 16*

3) 3/4a = -12

*we want a alone, so we will multiply by the negative reciprocal to get rid of the fraction on the left side*

a = -12 times 3/4

a = -9

*in order to check this, we will plug what we found for a, 9, into the original equation*

3/4a = -12

3/4 (-9) = -12

-12 = -12

*this is correct because -12 = -12*

i hope this helps! let me know if you need anything else!

Answer: 1) k = -10

2) n = -4

3) a = -9

Step-by-step explanation:

HELPPP ITS DUE TODAY

Answers

Answer:

15

Step-by-step explanation:

To divide the fraction, multiply by the reciprocal of that fraction.

5x3

Answer: 15

The zoo is building a new hippo pool that will
measure 55 feet by 75 feet. What is the area of the
poole

Answers

Step-by-step explanation:

We know to find the area of a rectangle we need to multiply the length times the height.

In other words,

[tex]a = l \times w[/tex]

We know our length is 75 and our height is 55, so lets multiply it.

[tex]75 \times 55 = 4125[/tex]

So our final answer is:

4125 sq. ft

Hope this Helps!

:)

the number twelve and 7 hundredths in decimal

Answers

Answer:

12.07

Step-by-step explanation:

(Not 100% if this is the correct answer)

45-45-90 angle


Thanks

Answers

Answer:

7. m and n = √8

8. a and b = √2

9 x and y = √1/8

10. x and y =5/√2

11. x and y = 3/√2

12. x and y = 9/√2

Step-by-step explanation:

Answer:

7. m and n = √8

8. a and b = √3

9 x and y = √1/8

10. x and y =2/√5

11. x and y = 3/√2

12. x and y = 8/√2

Step-by-step explanation:

i dont know i had some help from my older brother i hope this is right!

w increased by 5

w - 5
5w
w + 5
w / 5

Answers

Answer:

w +5

Step-by-step explanation:

plus increases the numbers



What is the relationship between <2 and <4

a) vertical b) alternate interior c) corresponding d)supplementary

what is the relationship between <3 and <7

a)alternate intention b) corresponding c) alternate exterior d) vertical
what is the relationship between <8 and <4

a) vertical b) supplementary c) alternate exterior d) corresponding
what is the relationship between <3 and <5

a) corresponding b) vertical c) supplementary d) alternate interior
what is the relationship between <4 and <5

a) supplementary b) alternate interior c) corresponding d) vertical

Answers

Answer:

1. c 2. b 3. d 4. 3

Step-by-step explanation:

Mark as brainliest

A fast bi-level train travels from Washington, D.C. to Perryville Maryland. If this train traveled 75 miles in about .75 hours, what was the speed of the train

Answers

Answer:100 mph

Step-by-step explanation: it’s always distance divided by time. lol

The train travels to a distance of 75 miles in 0.75 hours, then the speed of the train will be equal to 100 miles per hour.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Distance (d) traveled by train = 75 miles

Time (t) taken by train to travel the distance = 0.75 hours

Then, use the equation of speed (s),

[tex]Speed =\frac{Distance}{Time}[/tex]

s = 75/0.75

s = 100 miles per hour.

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please help me out i don't want to keep wasting points. no fake answers or i. will report

Points A=(3,5) B = (-2,6) C=(0,16) are vertices of a triangle

1. Find the slope of each segment
2. is the triangle a right triangle explain your answer

Answers

Answer:

hi again

6

x

3

y

=

12

x

+

6

y

=

5

3

x

+

y

=

16

Step-by-step explanation:

Is 1/8 closer to 1/2

Answers

Answer:

What is the fraction compared to?

sarah adds 3 to it then doubles it and gets an answer of 52.4 what was the original number.​

Answers

52.4/2= 26.2
26.2-3= 23.2
So the original number = 23.2
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