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Papessa [141]
3 years ago
12

Use the three steps to solve the problem. the length of a rectangle is 2 inches less than 3 times the number of inches in its wi

dth. if the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle?
Mathematics
1 answer:
Tems11 [23]3 years ago
3 0
Let the width of the rectangle be w.

Let the length be l.

l = 3w - 2

Given,

Perimeter = 28 

2*( l + w ) = 28

2*( 3w -2 + w ) = 28 

4w - 2 = 14  [ Dividing both sides by 2 ]

2w - 1 = 7 [ Dividing both sides by 2 ]

2w = 8

w = 4.

Thus,

l = 3w -2 = 3*4 - 2 = 12 - 2 = 10

Therefore, the length is 10 inches and the width is 4 inches.
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A the slope of f(x) is greater than the slope of g(x)
Komok [63]

To find the slope of g(x), use the slope formula(m):

m=\frac{y_2-y_1}{x_2-x_1}        And plug in two points, I will use:

(0, 2) = (x₁, y₁)

(5, 4) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-2}{5-0}

m=\frac{2}{5}

You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

m=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-) from each distinguished point

Run is the number of units you go to the right from each distinguished point

If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is  \frac{2}{3}

Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A

7 0
3 years ago
Is this convergence or divergence?
mart [117]
Convergence is what i would say personally 
4 0
2 years ago
Read 2 more answers
Solve each system by graphing
Ne4ueva [31]
2,-4 is you awnser. good day to you
5 0
3 years ago
Log (x + 20) – log (x + 1) = log 18<br> - Rewrite the given equation without logarithms.​
mel-nik [20]
(x+20)-(x+1)=18
x+20-x-1=18
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It has no solution
3 0
3 years ago
If the lengths of two sides of a right triangle are $5$ and $12$ units, what is the least possible length, in units, of the thir
Goryan [66]

The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.

According to the given question.

We have a right angled triangle with the two side lengths 5 unit and 12 unit.

From the properties of a triangle we know that " the sum of the length of the two sides of a triangle is greater than the length of the third side". Or " the difference between the two sides of a triangle is less than the length of the third side".

Let the third side of the triangle be x units.

So, by the properties of a triangle we can say that

12 - 5 < x

⇒ 7 < x

And 12 + 5 > x

⇒ 17 > x

Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.

Find out more information about properties of a triangle here:

brainly.com/question/27711437

#SPJ4

7 0
1 year ago
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