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aliina [53]
4 years ago
10

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
Nutka1998 [239]4 years ago
6 0

The factorized expression is: 2(k+5)

Step-by-step explanation:

The distributive property is used to factorize the expressions with common factors. The common factor is taken out from the expression for the purpose of simplification

Given expression is:

2k+10

We can see that 2 is a common factor in both terms

So,

= 2.k + 2.5\\= 2(k+5)

The factorized expression is: 2(k+5)

Keywords: Factorization, distributive

Learn more about polynomials at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

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Solution:

The image of the problem is attached below.

Distance between Wilmington to Ash Grove along Kendall = 820 feet

Distance between Wilmington to Ash Grove along Magnolia = 660 feet

Distance between Beech and  Ash Grove along Magnolia = 280 feet

Distance between Wilmington to Beech along Magnolia

                                       = 660 feet – 280 feet

                                       = 380 feet

Let us x be the distance between Wilmington to Beech along Kendall and

820 – x be the distance between Beech and  Ash Grove along Kendall.

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By proportionality theorem, parallel lines cut by a transversal are in proportion.

$\Rightarrow\frac{380}{280} =\frac{x}{820-x}

Do cross multiplication.

$\Rightarrow{380}({820-x}) =280x

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$\Rightarrow 311600 =280x+380x

$\Rightarrow 311600 =660x

$\Rightarrow x=472.1

Distance between Beech and  Ash Grove along Kendall          

                                    = 820 – x  

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                                    = 347.9

Hence the distance between the two streets along Kendall is 347.9 feet.

8 0
3 years ago
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