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netineya [11]
3 years ago
15

A rectangle has a perimeter of 80. if the length is four more than twice the width, what is the length of the rectangle ​

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

28

Step-by-step explanation:

l = length

w = width

p = perimeter

w = w

l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)

l = 2w + 4 (four more than twice the width)

Substitute 2w + 4 for 'l' in the original equation

(2w + 4) + (2w + 4) + w + w = 80

Solve equation normally:

6w + 8 = 80

6w = 72

w = 72/6 = 12

(w = 12)

Length = 2w + 4

Substitute 12 for 'w':

2(12) + 4 = l

24 + 4 = l

28 = l

The length is 28

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Vesnalui [34]
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3 0
3 years ago
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Help please!!! really really important​
Serga [27]

Answer:

42. Graph a

43. Not possible.

44. Graph e

45. Graph c

46. Graph b.

Step-by-step explanation:

42. 7x + 13 ≥ 55

⇒ x ≥ 6

So, it matches graph a.

43. 12x - 8 > 4(3x + 2)

⇒ 12x - 8 > 12x + 8

Hence, d. not possible.

44. \frac{x}{- 4} - 3 < - 1

⇒ \frac{x}{- 4} < 2

⇒ x > - 8

Hence, graph e matches.

45. - 4(- 2x + 3) ≤ 5 + 8x

⇒ 8x - 12 ≤ 5 + 8x

⇒ - 12 ≤ 5

This is true for all values of x, hence that matches graph c.

46. - 4(x + 3) > 8(x + 3)

⇒ - 4x - 12 > 8x + 24

⇒ 12x < - 36

⇒ x < - 3

Hence, graph b matches the situation. (Answer)

4 0
3 years ago
Solve for x.<br> -15x + 60 ≤ 105 AND 14x + 11 ≤ -31
givi [52]

Answer:

  1. x ≥ -3
  2. x ≥ -3

Step-by-step explanation:

-15x + 60 ≤ 105

-15x ≤ 45

x ≥ -3

14x + 11 ≤ -31

14x ≤ -42

x ≥ -3

Best of Luck!

7 0
3 years ago
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PLEASE HELP
ipn [44]

Answer: (0,0),(0,4), and (5,0)

Step-by-step explanation:

It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.

This answer has an x intercept and y intercept.

3 0
3 years ago
Which of the following angles is coterminal with -4pi/3?<br><br> -2pi/3<br> -pi/3<br> pi/3<br> 2pi/3
PolarNik [594]
Coterminal angles are angles that end in the same position on a unit circle.

We can find angles that are coterminal to -4pi/3 by adding and subtracting 2pi.

-4pi/3 + 2pi = 2pi/3

The answer is 2pi/3
4 0
3 years ago
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