the slope intercept form of the equation of a line that passes through Point -3, 8 is y equals negative 2/3 x + 6 what is the po
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Answer:
2/9
Step-by-step explanation:
Total outcome = 36
Sum of 7 = 6
Prob of sum of 7 = 6/36
Sum of 11 = 2
Prob of sum of 11 = 2/36
Prob of sum of 7 or 11 = 6/36+2/36
Prob of sum of 7 or 11 = (6+2)/36
Prob of sum of 7 or 11 = 8/36 = 2/9
Answer:
The coordinates of HF are (1, 4)
Step-by-step explanation:
The parameters of the line are;
The coordinate of the end points are H = (-11, 7), and J = (5, 3)
The ratio by which the point F divides the line = 3:1
The segments in the line are HF, and FJ
Therefore;
The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ
HF = 3/4 × HJ
Which gives the coordinates of the point F as follows;
Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) = (1, 4)
The coordinates of F are (1, 4)
We check the length of HF, from the equation for the length to of a line to get;
Similarly, we check the length of HJ, to get;
The length of HF = 3·√(17)
The length of HJ = 4·√(17)
Therefore, from HF = 3/4× HJ, we have;
HF = 3/4 × 4·√(17) = 3·√(17)
Therefore, the coordinates of HF are (1, 4)