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kikiwaka1
23.08.2021 •
Mathematics
The midpoint of ab is M (5,-5) . if the coordinates of A are (3,-6), what are the coordinates of B .
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Ответ:
Part A) (see the explanation)
Part B)
1) point-slope form --->
2) slope-intercept form --->
3) standard form >
Part C)
Part D)
Step-by-step explanation:
Part A: Find and interpret the slope of the function
Let
x > is the number of days
g(x) ---> is the balance in the bank account
we know that
The formula to calculate the slope between two points is equal to
take two ordered pairs from the data of the table of values
(0,600) and (3,720)
substitute in the formula
That means that the balance in the bank account increases $40 each day
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms
step 1
Find the equation in point-slope form
we have
substitute
step 2
slope-intercept form
Isolate the variable y
Adds 600 both sides
step 3
standard form
The equation of the line in standard form is equal to
where
A is a positive integer
B and C are integers
we have
subtract y both sides
subtract 600 both sides
Part C: Write the equation of the line using function notation
we have
Let
g(x)=y
so
---> equation in function notation
Part D: What is the balance in the bank account after 7 days?
For x=7 days
substitute in the linear equation