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Leto [7]
2 years ago
6

the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the

rectangle.
Mathematics
2 answers:
AveGali [126]2 years ago
8 0

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

sergeinik [125]2 years ago
3 0
Equation 1 is 2W - 6 = L
equation 2 is 140= W * L

L=10
W=8
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Which of the following situations can be described by the equation 2x – 4 = 10?
chubhunter [2.5K]

Step-by-step explanation:

Add 44 to both sides.

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8 0
3 years ago
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maria [59]
That should answer ur question!

5 0
2 years ago
A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a
Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

  Given : A heated piece of metal cools according to the function  c(x)=(0.5)^{x-7} ,  where x is measured in hours and then a cooling device id added that aids in cooling according to the function h(x)=-x-2

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)

Solving , we get,

w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

7 0
3 years ago
Read 2 more answers
Which of these is equivalent to p=2l+2w
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Im pretty sure the answer is p /2 - w =1 if this isnt the answer you can try a math site that explains all the rules to the problem 
3 0
3 years ago
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