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3 years ago

Which expression is equivalent to x^2 • x^3? A. x^5 B. x^-1 C. x^6 D. 6 × X

Mathematics

2 answers:

ch4aika [34]3 years ago

7 0

x^5 is your answer because you add exponents when they are not in separate paretheses.

AysviL [449]3 years ago

7 0

Think: <span>x^2 • x^3 = x^(2+3). Yes, add the exponents, while keeping the base, 3.

Thus, </span><span>x^2 • x^3 = x^5.</span>

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The number of lines and triangles illustrates combination

36 lines can be drawn to join the nine points
84 triangles can be drawn using the nine points

<h3>The number of lines that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated using the following combination formula

Lines = nCr

This gives

Lines = 9C2

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Hence, 36 lines can be drawn to join the nine points

<h3>The number of triangles that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points