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Vadim26 [7]
1 year ago
13

Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other

Mathematics
1 answer:
sashaice [31]1 year ago
4 0

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

#SPJ1

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The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered
nexus9112 [7]

Answer:

2  Beetle juices and 3 Potion Punch

Step-by-step explanation:

j = Beetle Juice       cost $2.50

p = Potion Punch      Cost $3

         j + p = 5                      <em>Multiply by -3</em>              -3j  - 3p = -15

$2.50j + $3p = $14           <em>Do not change      </em>+ <em>  </em><u><em> </em></u><u>2.50j  -3p = 14      </u>

                                                                                 - .50j      = -1

                                                                                          j = 2   Beetle Juice

   Substitute into the fist equation and solve for y       j + p = 5

                                                                                         2 + p = 5

                                                                                              p = 3   Potion Punch

7 0
2 years ago
List parallelograms, polygons, quadrilaterals, and rectangles in order from the least specific group to the most specific one.
a_sh-v [17]

Answer:

(B)

Step-by-step explanation:

Option (B) is in correct order when talking about the specific ones.

Polygon is the least specific as it can be of many sides.

example: A polygon with 3 sides is a triangle. and the polygon with 4 sides is a quadrilateral.

Hence, quadrilateral is on the second number in least specific group.

Quadrilaterals with 2 sides parallel and equal are known as parallelogram.

Therefore, they are on the 3rd number in specific group.

Parallelograms with opposite sides parallel and equal and all the vertex angles at right angles are known as rectangles.

Therefore, rectangles are the most specific one in the group. The list is given by (option (B):

1) polygons

2) quadrilaterals

3) parallelograms

4) rectangles.

mark brainliest  :)

5 0
3 years ago
Read 2 more answers
Randy filled 48 pint jars to the top with jelly. How many gallons of jelly did Randy make it? Explain.
cestrela7 [59]

Answer:

24

Step-by-step explanation:

The conversion is half (1/2) Every 1 quart is two pints. If Randy had 48 pints of jelly, we simply divide 48 by 2...


48/2=24

3 0
3 years ago
ET<br> 1<br> 1<br> 1<br> 2<br> 1<br> 4<br> 6(5 + 4) = 30 +
dimaraw [331]

Answer:

what is the et and 111214 for

Step-by-step explanation:

but 6(5 +4) = 30 + 15

the missing number is 15 though

5 0
3 years ago
In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, wh
SIZIF [17.4K]

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = \frac{1}{2} PQ , so

5x - 22 = \frac{1}{2} (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

6 0
2 years ago
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