A) Pine Road and Oak Street form a right angle, so we can extract the relation
where
is the distance we want to find (bottom side of the rectangle).
Alternatively, we can use the other given angle by solving for
in
but we'll find the same solution either way.
b) Pine Road and Oak Street form a right triangle, with Main Street as its hypotenuse. We can use the Pythagorean theorem to find how long it is.
Let
be the length of Main Street. Then
but of course the distance has to be positive, so
.
Answer:
A. it is a function because each input value has exactly one output.
Step-by-step explanation:
A relation is considered to be a function when each domain value (input), X, of the function has exactly one range value (output), Y, that is related to it. This means a domain value, X, (input) of a function cannot have two different range values (output) that are related to it.
However, two or more different domain values (input) can give the same range value (output).
The table of values given shows different input values, of which each has exactly one output value. However, the different input values give the same output.
Therefore, "it is a function because each input value has exactly one output".
Answer:
cos(m∠B) = 2√5/5
Step-by-step explanation:
Easiest way is to guess and check on this problem. When you take the cos(m∠B), you would get 6/3√5, rationalized to 2√5/5. That would be the correct answer.
Answer:
Step-by-step explanation:
Birth Rate in 1994 = 14.6 births per thousand population.
Birth Rate in 2004 = 14.32 births per thousand population.
A linear equation is of the form: y=mx+c
Where:
- x=years after 1994
- y=the birth rate
- m=Yearly Birth Rate
First, we determine the birth rate per year
Therefore, a linear equation that relates y in terms of x is of the form:
When x=0, y=14.6
14.6=-0.028(0)+c
c=14.6
Therefore, the linear equation that relates y in terms of x is:
