Answer:
x = 0 1 -1 -2
y = -3 -4 -2 -1
Step-by-step explanation:
equation : 3y+9x = -9
when x = 1
3y+3x = -9
or, 3y + 3×1= -9
or, 3y+3=-9
or, 3y = -12
so, y = -4
Again
Let's suppose x as -1
3y+3x= -9
or, 3y+ 3×-1 = -9
or, 3y-3 = -9
or, 3y = -6
y = -2
Let's suppose x as -2 now,
3y+3x = -9
3y+3×-2 = -9
or, 3y-6 = -9
or, 3y = -3
so, y = -1
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....

Subtract sides -3x


Divided sides by -4


This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :

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We have following equation to find the point-slope form of the linear functions.

Now just need to put the slope and the given point in the above equation.

Multiply sides by 4


Plus sides 24


Subtract sides -3x


And we're done....♥️♥️♥️♥️♥️
Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:

60 students were in the sample.
Por determinante:
5...1...1
1...0...1 = 0 --> se o determinante for igual a 0, os pontos estarão alinhados.
3...3...1
calculando: (5 x 0 x 1 + 1 x 1 x 3 + 1 x 3 x 1) - (1 x 0 x 3 + 1 x 1 x 1 + 3 x 1 x 5) =
0 + 3 + 3 - 0 - 1 - 15 =
6 - 1 - 15 =
5 - 15 = - 10 --> como não deu zero, os pontos não estão alinhados.