Representation of the function f(x)=-2x2+8x-6

What are the solutions to the equation x^2+14x=-130 please do a step by step

Serjik [45]

Answer:

The answer to your question is: x1 = - 7 + 9i x2 = -7 - 9i

Step-by-step explanation:

x² + 14x = - 130

x² + 14x + (7)² = -130 + (7)²

(x + 7)² = -81

x + 7 = ± √-81

i² = -1, then x + 7 = ±√ 81i²

x + 7 = ± 9i

x1 = -7 + 9i x2 = -7 - 9i

5 0

3 years ago

Multiply. (2x2 – 3x)(3x2 + 2x - 1)

exis [7]

Answer:

$-6x^{2}$ –7x + 20

Step-by-step explanation:

(2x2 – 3x)(3x2 + 2x – 1)

(4 – 3x)(2x + 5)

(4*2x) + (4*5) + (–3x*2x) + (–3x*5)

8x + 20 $-6x^{2}$ –15x

$-6x^{2}$ –7x + 20

8 0

3 years ago

654x67 Quien me ayuda please

Likurg_2 [28]

The answer is 43,818

3 0

3 years ago

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A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the square surfaces are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the square base is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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4 0

2 years ago

Becky wants to fence in a rectangular play area for her dog. If she wants the length of the play area to be 9 feet longer than h

Firdavs [7]

Answer:

The dimension of the play area written algebraically is y²/2 + 9y

Step-by-step explanation:

Let the be x and the width be y

If the length is to be 9 feet longer than half the width,

hence y/2 + 9 = x

hence dimension of the area = (y/2 + 9) × y = y²/2 + 9y

4 0

3 years ago

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