CPhill

+8  + (-5)  =

8 - 5   = 3 yds.

To find this, we take the factorial of the number of letters in the word "lullaby" = (7!) and divide by the factorial(s) of the number of occurrences of a repeated letter or letters.... (I hope I said that correctly!!)

So, since there is only one repeated letter "l" and it appears 3 times, we have

7! / 3!   =  5040/6 = 840 permutations

4.24 x 10⁰ =

4.24 x  1        (remember that a⁰  = 1)

4.24

And there you go....

Here's the graph here:

Given A(-5,1), B(-1,3), C( 1,4), and D(4,1), is line segment AB about the same length as line segment CD? Explain.

Using the distance "formula"  AB =  √[( -5 - (-1))² + (3 - 1)² ] = √[(-4)² + (2)²] =

√[16 + 4] = √20

And CD = √[( 4 - 1)² + (4 - 1)² ] = √[(3)² + (3)²] =   √(9 + 9) = √18

So AB ≠ CD

$35 / 7   = $5 apiece

Using the first two values in the table, we can first find the slope to write an equation of a line, so we have

[4754 - 4962 ] / [20 - 12 ] = -26

So we have

y - 4754 = -26(x - 20) 

y - 4754  = -26x + 520

y = -26x + 5274

Let's confirm that the amount after 50 minutes is correct

y = -26(50) + 5274  = 3974

So after  2 + 1/2 hrs  (150 min) we have

y = -26(150) + 5274  = 1374 gallons

$420 x 3/7   =   $180

There are 16 ounces in a pound....so 8 pounds = 8 * 16  = 128 ozs

So 128 ozs - 15 ozs =   113 ozs

What is the midpoint of a line segment that has the endpoints (-4,6) and (2,3)?

To find the midpoint, we just add the x coordinates and divide by 2 and repeat the process with the y coordinates.......so we have....

[(-4 + 2)/2 , (6 + 3)/2] =  [ -1, 9/2 ]     and that's the midpoint