The perimeter of a rectangle is twice the sum of its length and it’s width . The perimeter is 22 meters and I it’s length is 2 meters more then twice it’s width. What’s its length?

Answers

Answer 1
Answer:

Answer:

The length of this rectangle is 8m.

Step-by-step explanation:

The problem states that the perimeter of a rectangle is twice the sum of its length and it’s width. So

P = 2*l + 2*w

The problem also states that the perimeter is 22 meters. So:

P = 22

2l + 2w = 22.

Also, it states that I is the length and it is 2 meters more then twice it’s width. So

l = 2w + 2

What’s its length?

P = 22

2l + 2w = 22

2(2w+2) + 2w = 22

4w + 4 + 2w = 22

6w = 22 - 4

6w = 18

w = (18)/(6)

w = 3

The width is 3m. The length is in function of the width, so:

l = 2w + 2

l = 2*3 + 2

l = 8m

The length of this rectangle is 8m.


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PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!

Answers

Answer:

y = -3x-5

Step-by-step explanation:

9. What is the value
of the expression?
21.3 + (-34.87)

Answers

Answer:

-13.57

Step-by-step explanation:

21.3 + (-34.87) = -13.57

Mark me as brainliest if you want to.

An element with a mass of 570 grams decays by 26.7% per minute. To the nearest minute, how long will it be until there are 40 grams of the element remaining?

Answers

Answer: x ≈ 9

Step-by-step explanation:

Near the end of the picture 8.553364=x

x ≈ 9

16+10/5-3*2=12 true or false.

Answers

We need to follow the order of operations to get this one right. 
16 + (10/5) - (3*2)
16 + (2) - (6)
16 + 2 - 6
18 - 6
12Your answer is true!

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 20 x − 2y + 2z ≤ 25 2x + 4y − 3z ≤ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Answers

Answer:

C= -145, (35/4, 295/8, 45)

Step-by-step explanation:

Use Gaussian elimination to find the values of x, y and z

Eq 1: -x+2y-z=20

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

  • Multily Eq1 by 1 and add to Eq 2

Eq 1: (-x+2y-z=20 ) × 1

Eq 2:  x-2y+2z=25

Eq 3:  2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

    Eq2:         z= 45

   Eq 3: 2x+4y-3z=30

  • Multiply Eq 1 by 2 and then add to Eq 3

Eq1:  (-x+2y-z=20 ) × 2

Eq2:            z= 45

Eq3:   2x+4y-3z=30

⇒ Eq1:  -x+2y-z=20

   Eq2:            z= 45

  Eq3:      8y-5z= 70

  • swap Eq 2 and Eq 3

Eq 1: -x+2y-z=20

Eq 3:     8y-5z= 70

Eq 2:       z= 45

  • Solve Eq 2 for z

Z=45

  • solve Eq Eq 3 for y.

y= 295/8

  • Using the value z=45 and y= 295/8, substitue in Eq 1 to get value of x

x= 35/4

  • Substitue values of x,y and z in C= -3x-2y-z to get minimum value of C

C= -145

What is the slope intercept form equation of the line that passes through (3, 4) and (5, 16)?

Answers

It is convenient to start with the 2-point form of the equation for a line.

... y - y1 = (y2 - y1)/(x2 - x1)×(x - x1)

Either point can be (x1, y1), and the other can be (x2, y2). If we take them in order, we get

... y - 4 = (16 - 4)/(5 - 3)×(x - 3) . . . . . fill in the two points

... y = 12/2(x -3) +4 . . . . . . . . . . . . . . add 4, simpliffy a bit

... y = 6x -18 +4 . . . . . . . . . . . . . . . . . eliminate parentheses

... y = 6x -14 . . . . . . . . . . . . . . . . . . . . put in slope-intercept form