Answer:

Step-by-step explanation:
We can substitute the given values of
,
, and
to find the value of this expression.


We know that <em>two negatives make a positive. </em>This means that
will be the same this as 

Adding a negative is the same as subtracting a positive.


Hope this helped!
Oliver is the runner in 1st place 16 meters ahead of Nick, who is the runner in the last place.
Answer:
a = 
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other 
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y =
+ 
y =
+ 2
= 
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y = 
= 
Apply the condition of perpendicularity:
*
= - 1

a = 
Change both fractions into improper fractions then subtract Ans=19/3 R 6 1/3
Hello from MrBillDoesMath!
Answer: N = 143
Discussion:
This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers: 11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of 3 consecutive primes. I went back to my list of primes, added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on 43, 47, and 53!
43 + 47 + 53 = 143 !
Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.
Thank you,
MrB