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2 years ago

15 Points :p

Mathematics

1 answer:

azamat2 years ago

4 0

9514 1404 393

Answer:

5n -3

Step-by-step explanation:

Try n=1 in each expression and see which gives you a first term of 2.

2-5n = 2-5·1 = -3

2n -5 = 2·1 -5 = -3

5n -3 = 5·1 -3 = 2 . . . . . this is the expression you want

5n +2 = 5·1 +2 = 7

Additional comment

For a common difference of 5, the coefficient of n must be 5. The second answer choice fails on that count also.

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katrin2010 [14]

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

$\mathbf{BE = 1.8}$

$\mathbf{CD = 9}$

$\mathbf{BC = 1.7}$

From the question (see attachment), we have the following observations:

BE corresponds to CD
AB corresponds to AC

So, the equivalent ratio is:

$\mathbf{AB:BE =AC:CD }$

Substitute known values

$\mathbf{AB:1.8 =AC:9 }$

Express as fractions

$\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }$

Multiply both sides by 1.8

$\mathbf{AB =\frac{AC}{5} }$

AC = AB + BC

So, we have:

$\mathbf{AB =\frac{AB + BC}{5} }$

Substitute 1.7 for BC

$\mathbf{AB =\frac{AB + 1.7}{5} }$

Multiply through by 5

$\mathbf{5AB =AB + 1.7}$

Collect like terms

$\mathbf{5AB -AB =1.7}$

$\mathbf{4AB =1.7}$

Divide both sides by 4

$\mathbf{AB=0.425}$

Approximate

$\mathbf{AB=0.43}$

Hence, the length of AB is 0.43