If a line segment ab is on the number line, and the point a is at - 3 and point b is at 7, the length of ab is

The length of AB is 10.

Step-by-step explanation:

The length of AB would be the distance between A and B. This can be found by subtracting A from B (B from A would also work), and then taking the absolute value of what we get. In other words:

L = |B - A|          where L is the length of AB.

We know that A = -3 and B = 7, so now we just have to plug in A and B into the equation L = |B - A|  and solve for L (the length of AB).

L = |B - A|

Plug in -3 and 7 for A and B, respectively

L = |7 - (-3)|

Remember: a - (-b) = a + b

L = |7 + 3|

Simplify.

L = |10|

The absolute value of 10 is 10.

L = 10.

The length of AB is 10.

I hope you find this helpful. Feel free to ask me questions if the do not understand anything in my answer. Happy studying. :)

faster, im not sure why but i know it is faster

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;