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In a plane, line b is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. Which of the following must be true? hmc047-1.jpgg b || h g || f fmc047-2.jpg

In a plane, line b is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. Which of the following must be true? hmc047-1.jpgg b || h g || f fmc047-2.jpgh

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The equation of the straight line PQ is 3-2kx+k+1=12,calculate,in each case,the numerical value of k if the line PQ is parrallel to the line y=4x+7;is perpendicular to the line y=4x+7;


that sounds like a problem about "slopes" so I am looking at using the derivative, which is basically the slope of the graph.
- the equation of line PQ can be simplified to y(x) = -2kx + k -8
- derivative relative to X (k is a constant) gives you -2k
- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:
-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:
-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.
I hope it makes sense.

Apr 12, 2017 | Homework

1 Answer

What is the meaning of perpendicular lines


Parallel lines are lines that go on forever and never cross. In mathematics terms, they have the same slope, but different y-intercepts. For example, y= 3x + 5 and y=3x +7 are parallel lines.

Perpendicular lines are lines that intersect each other at 90 degrees or at right angles. If y=5 and we are looking for a line that intersects it at 90 degrees (or right angles), the line would be x= 4.

Another example would be y = x. The perpendicular line would be y = -x.

To find the perpendicular line, the slope will be the negative reciprocal. For example, y = 3x + 5, the line perpendicular would be y = - 1/3 x + b.

Another way of looking at this is if you take the slopes of the two line and multiply them, you should get -1.

Let me know if you have any questions.

Good luck.

Paul

Jan 26, 2016 | Office Equipment & Supplies

1 Answer

How to graph perpindicular lines


www.mathsisfun.com/.../line-parallel-perpendicular.html

Jul 01, 2014 | Office Equipment & Supplies

1 Answer

What is the defination for parellel lines


I linked a wiki page below.
Basically what is meant by parallel lines is two lines on the same plane that would never cross no matter how long they were in either direction.

Parallel geometry

Feb 09, 2014 | Microsoft Office Outlook 2003 for PC

1 Answer

Find equation line


3x-7y=2 is an equation of a line. That line doesn't go through the point (6, -7) though. Are you looking for the equation of a line through the point parallel to the first line? Perpendicular?

Jun 02, 2013 | Texas Instruments TI-84 Plus Calculator

1 Answer

What are perpendicular lines


Two lines are perpendicular if they belong to the same plane and intersect (cut) one another at right angle. They make a 90 degree angle. If you are doing analytic geometry, two lines are perpendicular if the product of their slopes ia equal to -1.
Other relative positions of lines are parallel (they have the same slope/direction) or they are just secant at an angle not equal to 90 degrees.

Feb 03, 2012 | Office Equipment & Supplies

1 Answer

Do not know how to turn on the gas for pool heater


Probably a better way to say it would be parallel or perpendicular. Parallel is open, perpendicular is closed.

Jun 26, 2009 | Teledyne Laars Laars Lx Pool Heater /...

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