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Zinaida [17]
3 years ago
15

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

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Step-by-step explanation:

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If ƒ(x) = -5n + 1 and g(x) = -6n + 2, find (ƒ + g)(-2).
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I hope I helped you^_^

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What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line
Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

y=\frac{1}{6}x+8

Further explanation:

Given equation of line is:

6x+y=3\\y= -6x+3

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

m_1=-6

Product of slopes of perpendicular lines is -1

m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}

The equation of new line can be written as:

y=m_2x+b\\

Putting m2

y=\frac{1}{6}x+b

To find the value of b, we will put (-6,7) in equation

7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8

Putting the values of b and m in general equation

y=\frac{1}{6}x+8

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

  • brainly.com/question/12941985
  • brainly.com/question/4152194

#LearnwithBrainly

5 0
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Answer: 2.314 is your answer.


Step-by-step explanation:

Line up both numbers, then multiply each number from right to left. After, use the steps of multiplication to find your answer.

5 0
3 years ago
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