Answer:
Part A) The slope is undefined
Part B) The equation of the line is 
Part C) None y-intercept
Part D) The slope of a line perpendicular to the given line is equal to zero
Step-by-step explanation:
we have that
Describe
A) slope of the line
B) equation of the line
C) y-intercept
D) slope of a line perpendicular to the given line
Part A) slope of the line
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
-----> the slope is undefined
Its a vertical line (parallel to the y-axis)
Part B) Equation of the line
we know that
The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.
so
Part C) The y-intercept
The y-intercept is the value of y when the value of x is equal to zero
The vertical line not intercept the y-axis
so
None y-intercept
Part D) slope of a line perpendicular to the given line
A line perpendicular to the given line is a horizontal line (parallel to the x-axis)
therefore
The slope is equal to zero
Answer:
$14
Step-by-step explanation:
35/20 = 1.75
8*1.75 = 14
Answer:
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Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
<em />
From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
we are given
Since, we have to solve for x
so, we will isolate x on anyone side
step-1: Add both sides 27
step-2: Divide both sides by 7
now, we can simplify it
................Answer
