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3 years ago

Determine the solution to the given system of equations. -2 equals negative y minus x. Y equals negative 1 minus x

Mathematics

1 answer:

elena-s [515]3 years ago

6 0

Answer:

The system of equations has no solutions

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously;

-2 = -y - x

y = -1 - x

Substitute the second into the first

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

-2 = 1 + x - x

We can see that the system has no solutions

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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

If the length of a rectangle, originally 4cm by 2cm, is increased by x, what is the perimeter and area of the new rectangle

11Alexandr11 [23.1K]

Answer:

12x

Step-by-step explanation:

4x+2x+4x+2x=12x

3 0

2 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving th

stiv31 [10]

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

6 0

3 years ago

CAN ANYONE HELP WITH THESE? BRAINLIEST ANS

Sonbull [250]

The answer to the first one is a

3 0

2 years ago

Calculate 12% simple interest to be paid on a loan of $2000 repaid in 1 1/2 year?

worty [1.4K]

Answer:

1320

Step-by-step explanation:

SI=(P×T×R)/100

SI=(2000×12×11/2)/100

SI=132000/100

:.SI=1320

3 0

3 years ago

Read 2 more answers