At a local community college, five statistics classes are randomly selected and all of the students from each class are intervie
2 answers:
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Answer:
An equation in slope-intercept form of the line will be
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the points
- (-1, -1)
- (1, 0)
Finding the slope between (-1,-1) and (1,0)
substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept
Add 1/2 to both sides
substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation
Therefore, an equation in slope-intercept form of the line will be
Answer:
Radius:
Step-by-step explanation:
Given
Solving (a): The radius of the circle
First, we express the equation as:
Where
So, we have:
Divide through by 9
Rewrite as:
Group the expression into 2
Next, we complete the square on each group.
For
1: Divide the
2: Take the
3: Add this
So, we have:
Factorize
Apply the same to y
Add the fractions
Recall that:
By comparison:
Take square roots of both sides
Split
Rationalize
Solving (b): The center
Recall that:
Where
From:
and
Solve for h and k
and
Hence, the center is: