A = b x h
3 pieces from each board
12 pieces of wood each 10 1/2 feet long
required: each piece will produce x number of wood 3 1/4 feet long.
number of pieces = 10 1/2 - x * 3 1/4 x is an integer.
The formula must produce a length that is less than 10 1/2.
The only way I can think to do this is by guessing until you get a number greater than 10 1/2 and then subtract 1 from that value of x.
Let x = 4
number of pieces = 10 1/2 - 4 * 3.25
number of pieces = 10 1/2 - 13
number of pieces = - 2 1/2 The board is too short to give 4 pieces each one of which is 3 1/4. You would need a board that is 2 1/2 feet longer.
4 is too many. So try 3
number of pieces = 10 1/2 - 3 * 3 1/4
number of pieces = 10 1//2 - 9 3/4
number of pieces = 3/4 The board will produce 3 pieces that are 3 1/4 feet loong. 3/4 of a foot is waste.
Each board produces 3 pieces
There are 12 boards
Therefore 3 * 12 = 36 pieces
A 6 units up
Reflection over x axis
Y that was once a positive number, is flipped to a negative
6,2 reflected over the x axis.
Y axis rule example
-2,7 reflected over the y axis
If it ever says (example,example) like flipped over the x, it will change the y.
Same for a flip over the y, it will change the x
Answer: -47 - 48x
Step-by-step explanation: When you first take a look at this problem, it's tempting to want to subtract -7 - 8 to get -15 and then distribute the -15 through the parentheses.
You wouldn't want to subtract however before you distribute because the distributive property is a form of multiplication and remember from your order of operations that multiplication comes before subtraction.
So the first thing you want to do here is distribute and change the minus sign in front of the -8 to plus a negative 8 so that you know you are distributing a -8 through your parentheses.
So we have -7 + -8 times 6x which is -42x + -8 times 5 which is -40.
Now we have -7 + -48x + -40.
Now just combine your like terms. -7 + -40 is -47 and plus a negative 48x can be written as -48x so we have -47 - 48x.
So your answer is just -47 - 48x.