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4vir4ik [10]
3 years ago
5

The length of a rectangle is 4 less than twice the width. If the perimeter of the rectangle is 130, find the length of the recta

ngle.
Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

Let L be the length of the rectangle and w be the width of the rectangle.

"The lenght of a rectangle is one less than twice the width" means L=2W-1

Using perimeter formula of a rectangle which is P=2(L+W) you have:

P=2(L+W)

130=2(2W-1+W)

Solve equation above to find W

130=2(3W-1)

130=6W-2

130+2=6W

132=6W

W=22

From here you find L=2W-1=2x22-1=43

Only thing left is to find area A=LxW

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Step-by-step explanation:

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2 years ago
Please Answer Quick 65 Points ! !
NeTakaya

The correct answers are:

  • The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
  • The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Further explanation:

Given equations are:

2x-y = -5

x+3y = 22

We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations

Putting the point in 2x-y = -5

2x - y = -5\\2(7) -19 = -5\\14-19 = -5\\-5 = -5

Putting the point in x+3y=22

7 + 3 (19) = 22\\7 + 57 = 22\\64 \neq 22

The point satisfies the first equation but doesn't satisfy the second. So,

1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

This statement is true as the point satisfies the first equation

2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

This Statement is false.

3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

This statement is true.

4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.

This statement is false as the ordered pair doesn't satisfy both equations.

Keywords: Solution of system of equations, linear equations

Learn more about solution of linear equations at:

  • brainly.com/question/13168205
  • brainly.com/question/1465430

#LearnwithBrainly

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