Answered

Join the growing community of curious minds on IDNLearn.com and get the answers you need. Get prompt and accurate answers to your questions from our experts who are always ready to help.

find the value of k so that the two given lines are parallel. -5x+kx=4 2y-9x=11

Sagot :

Adioabiolaidn

The value of k so that the two given lines are parallel is; k = 22.5

First, the correct question is;

  • -5y+ kx = 4 and

  • 2y-9x=11

In line segment geometry;

  • The slopes of two or more parallel lines are equal

First, we must determine the slope of the lines by rewriting the equations to resemble the equation of a line in the slope-intercept form; y = mx + c

Therefore, we have;

  • y = (k/5)x - 4/5.................eqn(1)

  • and y = (9/2)x + 11/2....,........eqn(2)

  • Evidently, the slope of the line in equation 2 is; 9/2

.

And since the slope of parallel lines are equal;

  • k/5 = 9/2

By cross product;

  • 2k = 45

k = 22.5

Read more:

https://brainly.com/question/12557573

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.