The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.
The equation is
d
=
12.5
×
t
Explanation:
To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:
For example
25
miles
÷
2
hours
=
12.5
miles
hour
A direct proportionality will always result in an equation that resembles this:
y
=
k
x
where
y
and
x
are the related quantities and
k
is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)
45=5x+10
-10=5x-10
35=5x
X=7
The expression x^2 + 9 is an algebraic expression
x^2 + 9 cannot be factored because it is not a difference of two squares
<h3>How to determine why the expression cannot be factored?</h3>
The expression is given as:
x^2 + 9
Express 9 as the square of 3
x^2 + 3^2
The above expression is not a difference of two squares
Hence, x^2 + 9 cannot be factored because it is not a difference of two squares
Read more about factored expressions at:
brainly.com/question/723406
