2 x 1/6 = 2/6 which can be reduced to 1/3
4 x 3/8 = 1 and 4/8 which can again be reduced to 1 and 1/2
problem 2 - 3/4
problem 3 - 2 (whole number)
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!! :)
1/3x=x-22
Add 22 to both sides to get 22+1/3x=x
Subtract 1/3x from both sides to get 22=2/3x
Multiply each side by 3/2 to get x=33!
Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.
Answer:
d. quadrilateral
Step-by-step explanation: