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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hello

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

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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.

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Step-by-step explanation:

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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.

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Answers

Answer:

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Step-by-step explanation:

2/5(3) = 6/5

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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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.

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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.

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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

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'x' represents the year.

'y' represents the height of the mountain.

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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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Step-by-step explanation:

Answer:

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she had ($12) left

Step-by-step explanation:

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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.

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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 :)

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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

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Answers

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

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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.

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