Answer:

Step-by-step explanation:
Let point
be the point where the straight line drawn from point
meets the straight line
, it is evident that
and
is similar given that both triangles share the same angle,
. Hence, the ratio of the sides of each triangle is the same. Specifically,
.
Performing cross multiplication yields
.
Answer:
The domain of the function f(x) is:

The range of the function f(x) is:

Step-by-step explanation:
Given the function

Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:

Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We know that the range of an Absolute function is of the form


so
Thus, the range of the function f(x) is:

Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute:
3m + 21 = 6m + 12
Subtract 3m and 12
3m = 9
Divide by 3
m = 3
Answer:
B
Step-by-step explanation:
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