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3 years ago

Which expression is equivalent to 27+15n?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

3(9+5n)

Use the distributive property to multiply 9 by 3 and 3 by 5n to get that answer.

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X+(x+2)+(x+4)+(x+6)=4x+12=212

Mrac [35]

(x+(x+2)+(x+4)+(x+6))=4x+12=212

x+x+x+x(2+4+6)=4x+12=212

4x (2+4+6)=4x+12=212

4x(6+6)=4x+12=212

12+4x=4x+12=212

-12 -12 -12

4x=4x=200

/4 /4 /4

x=x=50

x=50

4 0

2 years ago

Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the

Alex_Xolod [135]

Answer:

Step-by-step explanation:

Given expression is,

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]

6 0

3 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

2 years ago

The image of the point (2, 4) under a translation is (1, 1). Find the

Montano1993 [528]

Answer:

Step-by-step explanation:

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2 years ago

Goods include kennels, leads, toys and similar accessories for pets.

Nuetrik [128]

Answer:

Where is the table? Is there supposed to be an image attached?

Step-by-step explanation:

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3 years ago