Consider the equation 40x-25y=15
1 answer:
Answer:
The second equation can be written by equation (1) is given below
8x-5y=3
The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.
Step-by-step explanation:
Given equation is
To find the second equation to create the given system of equations to have infinitely many solutions :
The second equation can be written by equation (1) is given below
8x-5y=3
The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.
You might be interested in
Answer:
40 minutes
Step-by-step explanation:
The circumference of the larger circle is ...
C = 2πr = 2π(5 in) = 10π in
The bug navigates the circumference at 3π in/min, so will take
time = distance/speed = (10π in)/(3π in/min) = 10/3 min
to travel once around.
__
The circumference of the smaller circle is ...
C = 2πr = 2π(2 in) = 4π in
The bug navigates this circumference at 2.5π in/min, so will take
(4π in)/(2.5π in/min) = 8/5 min
to travel once around.
__
The bugs will meet at a time that is the least common multiple of these times. Both can be expressed in 15ths of a minute as ...
{50/15, 24/15}
Then the LCM of these will be ...
(1/15)LCM(50, 24) = (1/15)(50×24)/GCD(50, 24) = 1200/30 = 40
It will be 40 minutes before the bugs next meet at point P.
___
A graphing calculator can make use of the mod function to show when the bugs meet at point P (total is displacement of the two bugs from P is zero). It shows the meeting occurs after 40 minutes.
