Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is
Using distance formula, the distance between (-5,8) and (-3,1) is
Therefore, the distance between two points (-5,8) and (-3,1) is 
units.
Answer:
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Step-by-step explanation:
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Integer 1 = n
integer 2 = n + 1
integer 3 = n + 2
n + (n + 1) + (n + 2) = 141
3n + 3 = 141
3n = 141 - 3
3n = 138
n = 138/3
n = 46 --(1st integer)
n + 1 = 46 + 1 = 47 --(2nd integer)
n + 2 = 46 + 2 = 48 --(3rd integer)
so the smallest integer is 46
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Answer: GCF = 2x³-------------------------------------
1) The equation of the parallel line in Slope Intercept Form is; y = -x - 1
2) The equation of the perpendicular line in Slope Intercept Form is;
y = ³/₂x - 4
<h3>How to write equation in Slope Intercept Form?</h3>
1) When two lines are parallel, it means their slopes are the same.
Formula for equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, slope of y = -x + 1 is m = -1.
Equation of parallel line is;
(y - (-5))/(x - 4) = -1
y + 5 = -x + 4
y = -x - 1
2) When two lines are perpendicular, it means their slopes are the negative inverse of each other. Thus;
Slope of line = -2/3 and so slope of perpendicular line = 3/2. Thus, equation of new line is;
(y + 1)/(x - 2) = 3/2
2y + 2 = 3x - 6
2y = 3x - 8
y = ³/₂x - 4
Read more about slope intercept form at; brainly.com/question/1884491
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