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Burka [1]
3 years ago
15

Solve for x

="6x - 2 = 4x + 13" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

x = \frac{15}{2}

subtract 4x from both sides of the equation

6x - 4x - 2 = 13

2x - 2 = 13

add 2 to both sides

2x = 13 + 2 = 15

divide both sides by 2

x = \frac{15}{2}


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As you can see in the screenshot, once you plot the points for each rectangle, it becomes easier to see what's happening.  In the first transformation, the rectangle is translated or slid.  In the next 2 transformations, the rectangle is rotated.  In the last transformation, the rectangle is dilated or shrunk.  The first rectangle is the only translation.

8 0
3 years ago
What is the value of the expression below when z = 10 and w = 4? <br><br> 2z - 3w
Yanka [14]

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Step-by-step explanation:

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Answer:

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3 years ago
How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

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Number of elements in every one set

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5 0
3 years ago
The area of a rectangle increased by seven is the same as for less than twice the area of the rectangle. Right and solve an equa
never [62]

Answer:

11 Square Units

Step-by-step explanation:

Let A be the area of the Rectangle

First statement: The area of the rectangle is increased by seven, we have :

A+7

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Twice the Area=2A

Four less = 2A-4

Therefore:

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Collecting like terms

2A-A =7+4

A=11

The area of the rectangle is 11 Square Units.

7 0
3 years ago
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