Solye for x. 8(x + 1) - 3[X + 4) = 7(2 - x)
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First, find the mean. You'll need it to compute the variance.
The variance of the sample is then computed with the formula
The standard deviation is the square root of the variance, so
The variance of the sample is then computed with the formula
The standard deviation is the square root of the variance, so
7)
Given the line
We know that the slope-intercept form of the line equation is
here
m is the slope and b is the intercept
Thus, the slope = -1
We know that the parallel lines have the same. Thus, the slope of the parallel line is: -1
Using point-slope of the line equation
substituting the values m = -1 and the point (4, 0)
Writing in the slope-intercept form
Thus, the slope-intercept form of the equation of the line equation parallel to y=-x+ 2 will be:
8)
<em>Note: </em><em>Your line is a little bit unclear. But, I am assuming the</em>
<em>ine is: </em>y = -x-1
<em />
Given the assumed line
y = -x-1
We know that the slope-intercept form of the line equation is
here
m is the slope and b is the intercept
Thus, the slope = m = -1
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -1
perpendicular slope = – 1/m = -1/-1 = 1
Using point-slope of the line equation
substituting the values m = 1 and the point (4, 3)
Writing in the slope-intercept form
y-3 = x-4
y = x-4+3
y = x - 1
Thus, the slope-intercept form of the equation of the line equation perpendicular to y = -x-1 will be:
- y = x - 1