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Anna71 [15]
2 years ago
11

A student is constructing a pair of perpendicular lines using a compass and ruler. Here are her first steps:

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
4 0

The next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

<h3>Steps in constructing perpendicular lines</h3>
  1. Place your compass on the given point
  2. Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc
  3. From each arc on the line, draw another arc on the opposite side of the line from the given point. The two new arcs will intersect.
  4. Use your ruler to join the given point to the point where the arcs intersect.
  5. Use your compass and ruler to draw a perpendicular line from each given point to the line segment

From this, we can deduce that her next step is to use her ruler to join the given point to the point where the arcs intersect

Thus, the next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

Learn more about construction here:

brainly.com/question/27164219

#SPJ1

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The correct answer is:  [D]:  " y = - 4x − 13 " .
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Explanation:
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All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is:  " y = mx + b" .

All of the answer choices given have a slope of "-4" ; that is:  "m = -4" .
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          The only answer choice with the equation that passes through point
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                     Answer choice:  [D]:  " y = - 4x − 13 " .
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In the equation:  " y = - 4x − 13 " ; when  "x = - 3, y = 1" .
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Given:  " y = - 4x − 13 " ;

↔   - 4x − 13 = y  ;

Plug in "(-3)" for "x" ; and see that "y = 1" ;

         -4(-3) − 13 = y  ;

          12 − 13 = y = -1  ;
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So, when x = -3, y = 1 .
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The correct answer is:  [D]:  " y = - 4x − 13 " .
___________________________________________
Consider choice:  [A]:  " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
  -4(-3) + 13 = y ;  12 + 13 = 25 ; NOT "-3" .
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Consider choice:  [B]:  " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
  -4(-3) + 7 = y ;  12 + 7 = 19 ; NOT "-3" .
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Consider choice:  [C]:  " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
  -4(-3) − 7 = y ;  12 − 7 = 9 ; NOT "-3" .
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This leaves us with "Answer choice: [D]:  " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
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Hope this helps!
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