John gains 6.50 an hour
There are a total of 40 hours
6.50 x 40 = 260
John has earned $260 for 40 hours last week.
Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
The factored form of the expression is
The expression x^2 + 9 has no real roots hence cannot be factored
Quadratic equations are equations with a degree of 2.
Given the quadratic function
For the function
Using the difference of two squares:
For the expression x^2 + 9
The expression x^2 + 9 has no real roots hence cannot be factored
Learn more on factorization here: brainly.com/question/20293447