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DerKrebs [107]
3 years ago
6

Solve by substitution y = 2x - 5 and 3y - x = 5

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

  (x, y) = (4, 3)

Step-by-step explanation:

The first equation gives an expression for y that can be substituted into the second equation:

  3(2x -5) -x = 5

  5x -15 = 5 . . . . . . simplify

  5x = 20 . . . . . . . .add 15

  x = 4 . . . . . . . . . . divide by 5

  y = 2(4) -5 = 3 . . substitute for x in the first equation

  (x, y) = (4, 3)

__

Solution by graphing confirms this result.

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Step-by-step explanation:

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6 0
3 years ago
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area
aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

3 0
2 years ago
PLEASE HELP <br> suppose
charle [14.2K]

Answer:

steps below

Step-by-step explanation:

3 = 2/3 m

m = 9/2

by the matrix property of associative: (A+B)+C = A+(B+C)

H = [-2  8  -1]

m x H = 9/2 x [-2  8  1] = [-9  36  -9/2]

4 0
3 years ago
49 x ? = 220.5 sorry about the last question this is what it was supposed to be
Jobisdone [24]
4.5 is the answer


Divide 49 from both sides

220.5 / 49 = 4.5

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 58.8 km, and its diagonal length is 21 km. Find its length and width
Oliga [24]
Length: 16.8 or 12.6
Diagonal 21
5 0
4 years ago
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