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3 years ago

Which of the following geometric objects occupy one dimension?

Mathematics

1 answer:

Helen [10]3 years ago

6 0

Answer:

A. Line, B. Segment D.Ray

Step-by-step explanation:

An object is described to have a zero dimension if it has no height, width or depth.For example a point is 0 dimensional.A two-dimensional object is one whose position can be described using the x-axis and y-axis.This is to say that such objects have both horizontal and vertical displacement component.For example a triangle and plane.A line is 1 dimensional because it has length.A ray is 1 dimensional because it never end on one side.A segment is part of a line hence its 1 dimensional.

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Trey found three pieces of wire in his tool drawer. Here are their lengths (in centimeters). 9 , 5.59 , 16.8 What is the total l

lara [203]

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3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

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2 years ago

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nexus9112 [7]

The answer is x=-20.
6+ -28 -x =-2
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Then you divide 20 by -x resulting in x=-20

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3 years ago

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horsena [70]

Answer:

Step-by-step explanation:

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3 years ago

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shepuryov [24]

Answer:

37.5

Step-by-step explanation:

3/8

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5 0

2 years ago