First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
Answer:
2.5
Step-by-step explanation:
The domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0
because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed
the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x
9 is restricted from the domain
domain is all real numbers except 9
so
the domain is all real numbers except for 9
40 hectograms = 4000 grams