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Chapter 11: Q. 5 (page 772)

True or False:

The lines 2x+y=4and 4x+2y=0are parallel.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Step 1. Given information.

Consider the given lines,

2x+y=4,4x+2y=02x+y=0

Rewrite the equations in terms of y,

y=-2x+4......(i)y=-2x......(ii)

02

Step 2. Reason for being true.

Consider the slope intercept form, y=mx+c.

Compare equations (i) with the slope intercept form,

role="math" localid="1647021167070" m1=-2

Compare equations (ii) with the slope intercept form,

m2=-2

As slopes of both the lines are equal, the lines are parallel.

Hence, the given statement is true.

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Most popular questions from this chapter

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;x2+2x+y2=0

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

xy=1;y=2x+1

solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y=4-2y+4z=03x-2z=-11

Verify that the values of the variables listed are solutions of the system of equations.

3x-4y=412x-3y=-12x=2,y=12;2,12

Constructing a Cylindrical Tube: A rectangular piece of cardboard, whose area is 216 square centimeters, is made into a cylindrical tube by joining together two sides of the rectangle. See the figure. If the tube is to have a volume of 224 cubic centimeters, what size cardboard should you start with?
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