Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
Answer:
0
Step-by-step explanation:
We are given the following:
(equ. 1)
(equ. 2)
We are asked:
(equ. 3) , what is
?
The 's represent the quotients you get.
is the remainder of dividing
by 5.
We know that is a number in {0,1,2,3,4}.
(I got this by multiplying both sides of equ 1. by 5.)
(I got this by multiplying both sides of equ 2. by 5.)
Let's add these equations together:
Factoring the 5 out for the 's part and simplify 4+1 gives:
So can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:
So while there is no remainder (the remainder is 0).
Let's do an example if you are not convinced at this point that the remainder will be 0.
So choose x=9 since 9/5 gives a remainder of 4.
And choose y=16 since 16/5 gives a remainder of 1.
x+y=9+16=25 and 25/5 gives a remainder of 0.
Answer:
Step-by-step explanation:
Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get .