Which points are separated by a distance of 5 units? O A. (1,3) (6,3) ☆ O B. (3,5) (1,5) O C. (5,1) (1,1) O D. (2,3) (3,3)
1 answer:
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Answer:
Step-by-step explanation:
Given the function:
To find:
Domain of the function.
Solution:
First of all, let us learn about definition of domain of a function.
Domain of a function is the valid input values that can be provided to the function for which output is defined.
OR
Domain of a function are the values of
for which the output
is a valid value.
i.e. The function does not tend to or does not have
form.
So, we will check for the values of for which
is not defined.
For value to tend to , denominator will be 0.
So, the domain can not have x = 2
Any other value of x does not have any undefined value for the function .
Hence, the answer is:
[2 is not included in the domain].
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = =
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line