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3 years ago

Which expression represents the perimeter of the rectangle shown below

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Answer:

D. 2x² + 10x - 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = x² + 3x - 2

Width = 2x + 1

Perimeter = 2(x² + 3x - 2 + 2x + 1)

Perimeter = 2(x² + 5x - 1)

Perimeter = 2(x²) + 2(5x) - 2(1)

Perimeter = 2x² + 10x - 2

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Solve 5x^2 − 3x + 17 = 9.

Vedmedyk [2.9K]

Answer:

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

⇒ 5x² − 3x + 17 - 9 = 0

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = $\frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}$

x = $\frac{3\pm\sqrt{9-160}}{10}$

x = $\frac{3+\sqrt{-151}}{10}$ and x = $\frac{3-\sqrt{-151}}{10}$

x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

here i = √(-1)

Hence,

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

7 0

2 years ago

Issuing a note payable for cash automatically results in a

Dmitry_Shevchenko [17]

Sry not sure this one is very confusing

5 0

3 years ago

MATH1314-1043,1044 16wks SPR21

Brilliant_brown [7]

Step-by-step explanation:

how where is the graph cause I don't understand that

6 0

3 years ago

⚠️ Help I don’t understand this one and it’s my last one !! ⚠️

Kruka [31]

Answer:

x=4

Step-by-step explanation:

no because x=4 and you can't have multiple answerd

7 0

2 years ago

Y * x = 20<br><br> y + x = 9 <br><br> what numbers are y and x equal to?

Ksivusya [100]

$y = 9 - x$
Substitute into
$y \times x = 20 \\ (9 - x) \times x = 20 \\ { - x}^{2} + 9x = 20 \\ {x}^{2} - 9x + 20 = 0 \\ (x - 5)(x -4) = 0 \\ x = 5 \: or \: x = 4$
When x = 5,
$y = 9 - 5 \\ y = 4$
When x = 4,
$y = 9 - 4 \\ y = 5$

x = 5, y = 4
x = 4, y = 5

Hope this helps. - M

4 0

2 years ago