Jamaal converted the following conic equation from general form to standard form.


amaal converted the following conic equation from general form to standard form.

4x2 + 4y2 – 16x + 24y – 12 = 0

4x2 – 16x + 4y2 + 24y = 12

4(x2 – 4x) + 4(y2 + 6y) = 12

4(x2 – 4x + 4) + 4(y2 + 6y + 9) = 12 + 4 + 9

4(x – 2)2 + 4(y + 3)2 = 25

Jamaal identifies the center of the circle as

(2, –3) and the radius as r = Five-halves.

What error, if any, did Jamaal make ?

Jamaal misidentified the center. The center should be at the point (–2, 3).
Jamaal did not complete the square correctly; he should have added 16 and 36 inside the parentheses in step 4. The radius is r = StartRoot 55 EndRoot.
Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r = 8.
Jamaal did not make an error.

Answers

Answer 1

Answer: C. Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r=8.

Step-by-step explanation: edge 2020, i took one for the team boys :(

Answer 2

In the given conic equation, Jamaal added 16 and 36 on the left hand side. However, he added 4 and 9 on the right hand side. The radius is r = 8.

What is a general conic equation?

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where x, y are variables and A, B, C, D, E, F are constant terms.

Given,

4x² + 4y² – 16x + 24y – 12 = 0

⇒ 4x² – 16x + 4y² + 24y = 12

⇒ 4(x² – 4x) + 4(y² + 6y) = 12

⇒ 4(x² – 4x) + 16 + 4(y² + 6y) + 36 = 12 + 16 + 36

⇒ 4(x² – 4x + 4) + 4(y² + 6y + 9) = 12 + 16 + 36

⇒ 4(x – 2)² + 4(y + 3)² = 64

⇒ 4(x – 2)² + 4(y + 3)² = (8)²

Therefore, the center is at (2, -3) and the radius is r = 8.

Jamaal must have added 16 and 36 on the rest hand side of the conic equation. That's the mistake Jamaal did. As a result, the value of the radius is wrong when Jamaal solved.

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Related Questions

HELP ME, seriously no one has helped me yet

Answers

Answer: Lunch:$16 Coffee: $4 Julie had $12 left.

Step-by-step explanation:

Answer:

1. Lunch ($16)

2. Coffee ($4)

3. how much money did she have left?

she had ($12) left

Step-by-step explanation:

1. To get the amount of money she used on lunch you have to look at the word problem it says "she spent 1/2 of her money on lunch" her total is $32 dollars and 1/2 is .5 as a decimal and 50% as a percentage so 50% of 32 is (16) so she spent $16 dollars on lunch alone.

2. To find how much money she used on Coffee you need to read the context of the problem its asking for "how much did she use of the money that is left from her lunch"   so she has $16 dollars she used from lunch so now it wants you to find 1/4 of $16 dollars or 25% of 16 and 25% of 16 is (4)

so she spent 4 dollars of what was left so the answer is 4.

3. To find how much is left add up 16 and 4 and you get 20 then subtract it by the original number which is 32 so it should look like this 32 - 20 = 12

so the money she has left is $12 dollars.

Express the decimal as a percent 1. 276​

Answers

Your answer is 1 276/1000

Have a nice day!!!

(If this helps don’t forget to mark branliest :) )

Answer:

ummm to round it, it would round to 1. To say it, it would be one and two hundred seventy six thousandths.

Step-by-step explanation:

Mark as brainliest plz

If you take a number, times by 5 then subtract 9. You get the same as if you took the number, times by 4 then add 1. What is the number?

Answers

Answer:

10

Step-by-step explanation:

Let the number be x

5x - 9 = 4x + 15x - 4x = 1 + 9x = 10

Proof:

50 - 9 = 40 + 1

write an equation of the line that passes through (3, -1) and is parallel to 2x-y=6

Answers

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

So you want a slope parallel to that of y=2x-6

So the slope will be m=2

Now you use the point slope formula to plug it in. Let (x1,y1) be (3,-1) so x1=3 and y1=-1

And let m=2

So

y-y1=m(x-x1)

So you have

y-(-1)=2(x-(3))

so this gives you

y+1=2(x-3)

Solving for y

You get

y=2(x-3)-1

y=2x-6-1

y=2x-7

So your answer is

y=2x-7

Hope this helps!

The speed of sound in air is 343 meters per second. You see lightning and hear thunder 12 seconds later.

Answers

The distance from the lightning strike is 4,116 meter.

What is relation between speed, distance and time?

The relation between speed, distance and time is defined as,

Distance = Speed x Time

Given that;

The speed of sound in air = 343 meters per second

Time to see lightning and hear thunder = 12 second.

Since, Distance = Speed x Time

Substitute values in above equation,

Distance = 343 x 12

             = 4,116 meter.

Hence, The distance from the lightning strike is 4,116 meter.

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The complete question is this,

The speed of sound in air is 343 meters per second. You see lightning and hear thunder 12 seconds later.  Estimate your distance from the lightning strike.

help please 25 points! :)

Answers

Answer:

Please see the attached picture!

Hope this helps! ♡

----------------Keep Exploring ! --------

MIGHTY MT. EVEREST

The Earth’s surface is composed of gigantic plates that are constantly moving. Currently, India lies on a plate that is slowly drifting northward. India’s plate is grinding into the rest of Asia. As it does so, it pushes up the Himalayan Mountains, which contain the world’s highest peak, Mt. Everest. In 1999, mountain climbers measured Mt. Everest with satellite gear and found it to be 8850 meters high. Geologists estimate that Mt. Everest may be growing by as much as 5 cm per year.

Your Task: Assuming a constant growth of cm per year, determine how tall Mt. Everest was in the year 0. (The year 0 is the year that came 2000 years before the year 2000.) Write an equation for the height of Mt. Everest over time, with x representing the year and y representing the height of the mountain.

What are the units for m and b in your equation? How many decimal places should be in your answer? Explain why.

Answers

The general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.

What is a time - varying quantity?

A quantity whose magnitude is a function of time is called a time - varying quantity. For example → x = 2t.

Given is the measured height of Mt. Everest with the help of satellite gear.  Geologists estimate that Mt. Everest is growing by as much as 5 cm per year.

Height of Mount Everest in the year 1999  → 8850 meters.

Rate at which Mt. Everest grows per year → 5 cm/yr = 1/20 m/yr.

The general equation representing the height of Mt. Everest over time can be written as →

y = 0.05x + 8850

where -

'x' represents the year.

'y' represents the height of the mountain.

The general equation of a straight line is given by -

y = mx + b           [ m → slope,  b → y-intercept ]

'y' represents height and is measured in meters. The slope 'm' of line is a dimensionless quantity as it the ratio of two lengths (y/x) and 'b' is measured in meters.

Now for x = - 2000

y =  - 100 + 8850

y = 8750 m

Therefore, the general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.

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Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v?

Answers

Answer:

I think it's C. 0

Step-by-step explanation:

On Edge

Find the 60th
term of the arithmetic sequence -27, -24, -21, ...

Answers

Answer:150

Step-by-step explanation:

What is the slope of the line shown in the graph below?

Answers

Answer:

2/3

Step-by-step explanation:

Between the two points, the line goes up 4 points and to the right 6 points. The slope is rise over run, so in this case the rise is 4 and the run is 6

This makes our slope:

4/6 which simplifies to 2/3

After you multiply these function how are they used in real life
f(x) = 3x + 4 and g(x) = 4x + 3

Answers

Step-by-step explanation:

To multiply a function by another function, multiply. For example, if f (x) = 2x and g(x) = x + 1, then fg(3) = f (3)×g(3) = 6×4 = 24.

here's an example to use a function in real life

u can use an soda machine, a measurement, miles per gallon or money math

The cost of making a phone is $152. A store sells the phone for $281.20.

Select all the expressions that could be used to find the percentage of markup for the phone.

Answers

Answer:

The store is selling the phone by 185% of its value...

Step-by-step explanation:

You just gotta divide 281.20 (the value of the phone at the store), and divide it up by 152 (its original value). And multiply the result by 100 to get the percentage.

[tex](\frac{281.00}{152})(100) = (1.85)(100) = 185%[/tex]%

help plz :(((((((((((((

Answers

Answer: ITS A! I HAVE THE SAME TEST!

Step-by-step explanation:

Juan is 15 years old. Emanuel is twice as old as 3/4 of Juan's age which is represented by the following expression: 2 (3/5 x 15). How old is Juan's brother Emanuel? A 36 years old B. 18 years old C. 9 years old D. 7 years old​

Answers

it should be b. 18 years old

Answer:

He's 18

Step-by-step explanation:

3/5 x 15= 9

9x2=18

He is 18

pls help me lol i cant do this. .........

Answers

Jan should’ve used Pythagorean theorem on to find the length of the hypotenuse. If you work it out that length will be 13. Then you add the 3 sides together to get 30 :)

PLEASE HELP!!! I don't understand rate of change so please include a bit of an explaination. Use the table to find the rate of change

Answers

Answer:

4

Step-by-step explanation:

every 2 servings, 8 oz. every 1 serving, 4 oz.

Answer:

try looking up rise over run method. that's what i was taught to use for rate of change. it's easier so basically it's x over y

Step-by-step explanation:

PLEASE(100 points)

f(x)= blank ,if -3≤x<-1
blank, if -1≤x≤1

Answers

hello

from the first interval you’re given, you can see the slope is 1, and if you were to extend that line you would get the y-intercept to be 3

the second interval given you can see that every point will have the y-value as 5

so for your first blank it should be x+3 and your second blank should be 5

hope this helps
let me know if you got confused on anything and i will do my best to help
have a nice day :)

jenny has 8 stamp books that each contain 42 pages. each page in her books contains 6 stamps. jenny decides to reorganize her stamp books such that each page contains 10 stamps. this will give her more space to collect stamps without having to buy new books. under her new system, jenny fills up 4 complete books, still with 42 pages per book. her fifth book now contains 33 pages filled with 10 stamps per page and 1 last page with the remaining stamps. how many stamps are on that last page?

Answers

There are 6 stamps on the last page.

The number of stamp books is 8.The number of pages in each stamp book is 42.The number of stamps on each page is 6.The total number of stamps is 8*42*6.The total number of stamps is 2016.After the reorganization of the stamps,The number of completely filled stamp books is 4.The number of completely filled pages is 42*4 + 33.The updated number of stamps on each page is 10.The number of stamps on the last page is equal to the total number of stamps minus the number of stamps on completely filled pages.The number of stamps on the last page is 2016 - [(4*42 + 33)*10].The number of stamps on the last page is 2016 - [(168 + 33)*10].The number of stamps on the last page is 2016 - (201*10).The number of stamps on the last page is 2016 - 2010.The number of stamps on the last page is 6.

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What is the value of |-25|?
Please help me ASAP

Answers

25 I hope this helps

Answer: 25

Step-by-step explanation:

help with #23 pleaseee

Answers

Answer:

53 degrees  

angle DCE is congruent to angle DAE.

53 degreesssssssssssssss

Name a theorem or postulate that lets you conclude ΔABD≅ΔCBD

Answers

Answer:

AAS

Step-by-step explanation:

what is 2 63/100 plus 3 1/4

Answers

Answer:

147/25 or 5.88

Step-by-step explanation:

Answer:

147/25 is the exact form | 5.88 is the decimal form | Mixed number form is 5 22/25

Step-by-step explanation:

Triangle ABC is located on a coordinate plane. Triangle ABC is transformed to create triangle A'B'C using the rule described below.
(z, y) → (u + 6,z +6)
Are triangles ABC and A'B'C'congruent?

Answers

Answer:

What grade is this

Step-by-step explanation:

I can give you the answer but you have to be patient like 30 min

The level of water in a tank is 16 feet. The level decreases steadily, and the tank is emptied in 8 hours. What was the change in water level in the tank during the first hour?

Answers

Answer:

During the first hour, the water change was 2 feet (or 14 feet)

Step-by-step explanation:

We know that the level of water in a water tank was 16 feet, and that by 8 hours, it was empty. To find the change in the water level per hour, we need to divide 16 by 8.

16 ÷ 8 = 2

Therefore, during the first hour, the water change was 2 feet (or 14 feet)

Hope this helps! :D

if necessary, round to the nearest tenth and label your answer
10ft
4ft


Answers

Answer:

            9.2 ft

Step-by-step explanation:

[tex]H^2+4^2=10^2\\\\H^2+16=100\\\\H^2=100-16=84\\\\H=\sqrt{84}\approx9.2\ ft[/tex]

How do you divide and Multiply?

Answers

Answer:

you know how to

Step-by-step explanation:

Ask Siri he or she will tell u

HELPP PEASE THIS IS DUE VERY VERY SOON ILL PICK BRAINLEST

Answers

Answer:

d

Step-by-step explanation:

What is the equation of the line that passes through the points (0, -2)and (0,−5)?

Answers

Answer:

Equation of the line: x = 0.

X=0 is the answer for question

Solve for x.
2/5x = 6/5

A: x = 12/25

B: x = 12/5

C: x = 3

D: x = 6

Answers

Answer:

C. x = 3

Step-by-step explanation:

2/5(3) = 6/5

6/5 = 6/5, correct!

What is the slope of the line that passes through the points listed in the table.

It should be easy I’m just not smart.

Answers

Answer:

this answer will be b

Step-by-step explanation:

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