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aliina [53]
3 years ago
5

The perimeter of the figure is 6x. Find length of side. x + 3, 2x+4.

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

1) Let's look at what we know and Create an equation:

Perimeter: 6x

Side A: x + 3

Side B: 2x + 4

Side C (Unknown): Let's call this 'a'.

Because you find the perimeter of a figure by adding the lengths of all its sides together, our equation would be (the parentheses are only there to help you visualize):

(X + 3) + (2x +4) + (a) = 6x

(Side A+Side B+Side C = Perimeter)

2) From here, we combine like terms:

3x + 7 + a = 6x

3) Isolate the variable in which we are solving for (a):

<u>a = 3x - 7</u>

Since we cannot simplify any further, the length of the missing side is <u>3x - 7</u>.

 

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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3 years ago
One of the factors of 4x^2-9 is<br> (1)x+3<br> (2)2x+3<br> (3)4x-3<br> (4)x-3
slava [35]

Answer:

2x+3

Step-by-step explanation:

4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)

8 0
2 years ago
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A line passes through the point (4,8) and has a slope of 3/2. Write an equation in slope-intercept form this line.
Tcecarenko [31]

Answer:

3x-2y=-4 is the equation of the slope intercept line.

Step-by-step explanation:

The passing through point (4,8)=(x1,y1)

Slope(m)=3/2

the equation is

or (y-y1)=m(x-x1)

or (y-8)=3/2(x-4)

or 2y-16=3x-12

or 2y-3x=16-12

or 2y-3x=4

or -(3x+2y)=4

or 3x-2y=-4

This is the Final equation of that line..

6 0
3 years ago
A TV has an original price of $599. Enter the new price after the given percent of change.
vlabodo [156]

Answer:

The new price = $718. 8

Step-by-step explanation:

Original Price =  $599

Given that the increase is 20%.

i.e.

Thus,

The amount of 20% Percentage increase = 20/100 × 599

                                                                             = 0.2 × 599

                                                                              = $119.8

Therefore,

New price = Original price + 20% increase amount

                 = 599 + 119.8

                  = $718. 8

Therefore, the new price = $718. 8

8 0
3 years ago
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