jfleming733

15.04.2020 • 

Mathematics

Yvonne is constructing a line perpendicular to and passing through point A on using only a compass and a straightedge. She has drawn arcs with a compass of set width centered at point A intersecting in two places. Yvonne labeled the points of intersection B and C. Which of the following sentences describes her next step in the construction?

A. Place the compass needle on point A and set the width beyond point B.
B. Place the compass needle on point B and set the width of the compass beyond
point A.
C. Place the compass needle on point B and set the width to point A.
D. Place the compass needle on point A and set the width to half way between points B and A.

Ответ:

laylay7383

16.10.2020

Mathematics

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The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.

The equation   − 2 (  x  +  3  )  =  − 2 x  −  6  does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.

We have  − 2 (  x  +  3  )  means that each term inside the parenthesis should be multiplied with  − 2 , i.e.

− 2 (  x  +  3 )  =  − 2  ⋅  x  −  2  ⋅  (  +  3 )  =  − 2 x  −  6

Which is exactly what the right side says.

Any value of x will, therefore, fulfill this equation.

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