Well he started off right by solving for y=y to find the abscissa of the intersection points between the two points,but then he assumed that their ordinate (y coordinates) are both zero,which is incorrect obviously. To find their ordinate,all we have to do is plug the x values into any of the two equations, since they both will pass through that point ੴ
I chose to plug the values in the second linear equation, since it's easier to compute
<h2>Points:</h2><h2>( 3 , 13 ) ( -2 , -7 )</h2>
On 12th day Rosita will walk all three dogs
<em><u>Solution:</u></em>
Given that Rosita earns money by walking dogs after school and on weekends
She walks Madeline every other day,buddy every fourth day,and ernie every third day
Today she walked all three dogs
<em><u>To find: the day when she walked all three dogs</u></em>
From given question,
Madeline is walked every other day means every two days: 2
Buddy is walked every fourth day: 4
Ernie is walked every third day: 3
To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3
<em><u>L.C.M of 2, 4, 3:</u></em>
List all prime factors for each number
Prime Factorization of 2 shows:
2 is prime =>
Prime Factorization of 3 shows:
3 is prime =>
Prime Factorization of 4 is:
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 = 12
Thus on 12th day Rosita will walk all three dogs