You can use equations to describe the relationship between the two numbers.
x+240=y
y-240=x
Answer:
<em> or 10.8627805 </em>
Step-by-step explanation:
Start by taking the difference of each value of both points
<u>Find the difference in x values </u>
78-2 = 76
<u>Find the difference in y values</u>
46-4 = 42
<u>Add the two differences </u>
76+42=118
<u>Take the square root of this value </u>
<u />
<u />
Answer:
r = - 
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r =
← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 =
( multiply both sides by - 6 )
12 = k, thus
r =
← equation of variation
when t = - 7, then
r =
= - 
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and
, we want to find a
such that 
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that
. Then
.
Then, if
, then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that
. Note that f(5)=14, so this proves that f is continous at x=5.
Answer:
7x + 5.6z
Step-by-step explanation:
To simplify any expression we use PEMDA ( order of operation)
Parenthesis
Exponents
Multiplication and division
Addition and subtraction
7x + (5.6) z
Here we have 5.6 inside the parenthesis
We multiply 5.6 with z
so it becomes 5.6z
7x + 5.6 z
Both terms 7x and 5.6z have different variable so they are not like terms
We cannot combine unlike terms, so we leave as it is
7x + 5.6z