I don't know where to start to figure this out. If someone could just give me clue I would appreciate it so much. Thank you
Given the location of p on a number line and distance between p and q. Choose all that correctly give the location of q on the number line
p = 5/12 and distance = 15/4
q= -10/3
p= 9/5 and distance = 7/15
q= -4/3
p= 5/7 and distance = 50/21
q = 5/3
p= 10/3 and distance = 23/15
q = 9/5
p = -15/2 and distance = 13/6
q = - 16/3
I'll do the first, and you can do the others in the same way
p = 5/12 and distance = 15/4
q is either
5/12 + 15/4 = 5/12 + 45/12 = 50/12 = 25/6
or
5/12 - 15/4 = 5/12 - 45/12 = -40/12 = -10/3
check the others the same way.
Thanks so very much. I'm glad you were online
To figure out the location of q on the number line, we need to consider two things: the location of p and the distance between p and q.
In the given example, we have the location of p on the number line and the distance between p and q. We need to add the distance to p to get the location of q.
Let's go through each option one by one:
Option 1: p = 5/12 and distance = 15/4
To find the location of q, we add the distance to p:
q = p + distance = 5/12 + 15/4 = 20/24 + 90/24 = 110/24 = 55/12
So, q is located at 55/12 on the number line.
Option 2: p = 9/5 and distance = 7/15
q = p + distance = 9/5 + 7/15 = 135/75 + 35/75 = 170/75 = 34/15
So, q is located at 34/15 on the number line.
Option 3: p = 5/7 and distance = 50/21
q = p + distance = 5/7 + 50/21 = 75/105 + 350/105 = 425/105 = 17/4
So, q is located at 17/4 on the number line.
Option 4: p = 10/3 and distance = 23/15
q = p + distance = 10/3 + 23/15 = 50/15 + 23/15 = 73/15
So, q is located at 73/15 on the number line.
Option 5: p = -15/2 and distance = 13/6
q = p + distance = -15/2 + 13/6 = -45/6 + 13/6 = -32/6 = -16/3
So, q is located at -16/3 on the number line.
Therefore, the correctly corresponding locations of q for the given options are:
1. q = 55/12
2. q = 34/15
3. q = 17/4
4. q = 73/15
5. q = -16/3