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Tatiana [17]
3 years ago
5

Which features describe the graph of

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Answer:

a vertex at (0,96)

the center at (0,0)

Step-by-step explanation:

edge

Arisa [49]3 years ago
4 0

Answer:

4. a vertex at (0, 96) is CORRECT

5. the center at (0, 0) is CORRECT

From the given equation,

a = 40

b = 96

(h,k) = (0,0), the center

The vertices are at (0,96) and at (0, -96).

The curves open upward and downward.

c² = a² + b² = 40² + 96² = 10816

c = 104

Therefore the foci are at (0, -104) and (0, 104).

Check the given answers:

1. a focus at (104, 0) is INCORRECT

2. a focus at (0, -96) is INCORRECT

3. a vertex at (-40, 0) is INCORRECT

4. a vertex at (0, 96) is CORRECT

5. the center at (0, 0) is CORRECT

Read more on Brainly.com - brainly.com/question/4411338#readmore

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AnnZ [28]

Answer:

-2y2 - 4y - 7

Step-by-step explanation:

2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1

4y2 - 6y2 - 4y - 8 + 1

-2y2 - 4y - 7

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3 years ago
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A rectangle. one side is 2x + 7 and the other is x+3
saveliy_v [14]

\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}

6x + 20

Step-by-step explanation:

  • <u>To</u><u> </u><u>find</u><u> </u><u>:</u><u>-</u>

Perimeter of rectangle

  • <u>Given</u><u> </u><u>:</u><u>-</u>

Length = 2x + 7

Breadth/width = x + 3

  • <u>Solution</u><u> </u><u>:</u><u>-</u>

<em>We</em><em> </em><em>know</em><em> </em><em>that</em>

<em>\mathfrak {perimeter \: of \: rectangle =2(length + breadth) }</em>

<em>Now</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>substitute</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>length</em><em> </em><em>and</em><em> </em><em>breadth</em>

<em>\sf  \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\  \\  \\  \sf \longmapsto perimeter = 2 \{3x + 10 \} \\  \\  \\  \sf  \longmapsto perimeter = 6x + 20</em>

6 0
2 years ago
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

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Answer:

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In order to determine the amount I would receive for the bond, the present value of the bond has to be determined. Present value is the discounted cash flow.

Present value = $10000 / (1.0619)^3.5 = $810.41

To learn more about present value, please check: brainly.com/question/26537392

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2 years ago
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