Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to

we have the points
(5,12)and (2,6)
substitute the values in the formula



therefore
The rate of change is 
step 2
Find the initial value
we have


substitute in the equation 

solve for b

---> initial value
The linear equation is equal to

The y-intercept or initial value is 2
Neither of them are functions. Functions cannot have two of the same numbers in the x value, and since the first table has two 5s in the x column and the second table has two 7s, neither of them can be functions.
Hope this helps :)
Answer:
y - 2x = 2
Step-by-step explanation:
2y - 4x = 4
2(y - 2x) = 4 | : 2
y - 2x = 2
Answer:
8 = y
Step-by-step explanation:
In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...
20 = y + 12 ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.
20 - 12 = y + 12 - 12
8 = y
Finally, we can see that the value of the variable y is 8
Sin is 5/13
We know tan = 5/12 the 5 is opposite 12 adjacent
Sin is opposite/hypotenuse. We know 5 is the opposite to find hypotenuse do pythogrean 5^2+12^2= 169 the sq rt of 169 is 13