Mathematics: 5.) if a//b and b//c and c is perpendicular to d, what is the relationship between a and d? [] parallel [] perpendicular [] neither [] it can not be determined 6.) write the equation of a line that is parallel to the line that passes through (-2,3) and (9,-6). be sure to show your work. (2 points)

The best choice is answer choice D...

5.) if a//b and b//c and c is perpendicular to d,

Ответ:

byron17

10.03.2022

Mathematics

Perpendicular, $m=\frac{9}{11}$

Step-by-step explanation:

5. If A & B are parallel and B & C are parallel, then A & C must also be parallel. Therefore, if C is perpendicular to C, it must intersect A & B also at perpendicular angles since parallel lines preserve angle relationships.

6. We must find the slope using the slope formula.

Slope: $m=\frac{y_2-y_1}{x_2-x_1}$

We substitute $x_1=-2\\y_1=3$ and $x_2=9\\y_2=-6$

$m=\frac{-6-3}{9-(-2)}$

$m=\frac{-6+-3}{9+2}=\frac{-9}{11}$

Parallel lines have the same slope so the equation will have the slope $m=\frac{9}{11}$ . Need more information to write the equation of the line like a point it crosses.

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5.) if a//b and b//c and c is perpendicular to d, what is the relationship between a and d? [] parallel [] perpendicular [] neither [] it can not be determined 6.) write the equation of a line that is parallel to the line that passes through (-2,3) and (9,-6). be sure to show your work. (2 points)

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