Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below. 5k – 6k + 2 – 9 = 0 –k – 7 = 0 –k = 7 k = Analyze Lorena’
2 answers:
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The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
A. (-6, 0)
B. (0, -6)
C. (0, 2)
D. (2, 0)
The graph of the question is attached.
Answer:
The point is (x, y) = (0, 2)
The correct option is C.
Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.
Step-by-step explanation:
From the given graph, the points A and B are
The slope of the equation is given by
We know that the slopes of two perpendicular lines are negative reciprocals of each other.
So the slope of the other line is
Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.
From the graph, the coordinates of point C are
The point-slope form is given by,
Substitute the value of slope and the coordinates of point C
To get the y-intercept, substitute x = 0
So, the point is
The correct option is C.
Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.
Answer:
Step-by-step explanation:
The probability density function is :
With 0 < x < 3
To be a valid probability density function :
Where a < x < b
And also
f(x) ≥ 0 for a < x < b
Applying this to the probability density function of the exercise :
We can verify by replacing ''c'' in the original probability density function and integrating :
Also, f(x) ≥ 0 for 0 < x < 3