Answer:
Distance:
units
Step-by-step explanation:
The distance formula is
where:
is the distance between points
and 
are the coordinates of the first point
are the coordinates of the second point
We are given that:
To determine the value of our distance,
, we plug in our given information into the formula and solve for






Therefore, the distance between
and
is
units.
See the attached graph for a visual.
What would make finding the answer a bit easier, is converting them into improper fractions. You would turn that first fraction to

and the second fraction to

. (You are dividing a negative by a negative, therefore, your answer would be a positive.
Let's follow the procedure of keeping, switching, and flipping. You keep the first improper fraction, switch the division sign to a multiplication sign, and flip the second fraction. That would make it :

×

.
You multiply the 9 and the 2, you get 18. You multiply the 3 and the 4, you get 12. That makes it

. This, converted to a mixed fraction, makes 1

., which is the same as 1

. Your answer is the
SECOND CHOICE.
For this, the first thing to do is to assume that the function of temperature with respect to r is written in one of the following ways:
Way 1:

Way 2:

To find the instant variation we must find the derivative of the temperature with respect to the distance r.
We have then:
For function 1:


Rewriting

For function 2:


Rewriting

Answer:
The instantaneous variation of the temperature with respect to r is given by:
Assuming function 1:

Assuming Function 2:

Answer:
A
Step-by-step explanation:
Table:
it says that x is the amount of tickets, so that would be 1, 2, 3, etc.
It says that y is the money spent and also tells us that one ticket is $3, so obviously the money would be increasing by thirds: 3, 6, 9
This all goes with the first table (table A)
Graph:
As for the graph-
X = # of tickets (1, 2, 3)
Y = $ spent (3. 6, 9)
The answer would be graph A, because when looking at it you can tell that the starting point is at $0 for 0 tickets, unlike for graph b, which shows $3 for 0 tickets, which does not make any sense. But when you continue on when graph A, you can tell that this answer choice is correct, because every time, the y value is 3 times the x value which means: y=3x
Answer:(x+1)(x-9)
Step-by-step explanation: