Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
In this problem, the slopes are given as follows:
- m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.
- m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.
The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
More can be learned about the slope of a line at brainly.com/question/12207360
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Answer:
He can fit 2 more DVD's on the shelf.
And he'll have about 12 mm of extra space left.
Step-by-step explanation:
40×1.4 = 56cm This is the length of space the 40 DVD's will take up.
60-56 = 4cm This is the amount of space left.
4/1.4 = 2.857 the number of DVD's that will fit.
Of course, the decimal represents a partial DVD which is worthless.
Just to be sure, 2×1.4 = 2.8cm OK. But 3×1.4= 4.2cm which is 2mm too much
Answer:
residual value = 0.0749.
the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.
Step-by-step explanation:
By the least squares regression equation
Predicted Value = ^y^=2.94X - 0.4873
The residual is the difference between the observed value and the predicted value of y. So, when x = 0.3260,
the regression line predicts ^y^ = 2.94(0.3260) - 0.4873 = 0.47114.
The observed value of y is 0.5460.
Therefore, residual = 0.5460 - 0.4711= 0.0749.
Since the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.
Answer:
Centre: (-4,2)
Radius: 3
Step-by-step explanation:
h = 8/-2 = -4
k = -4/-2 = 2
(-4)² + 2² - 11 = r²
r² = 9
r = 3
It would be 6/8. You would easily figure this out by seeing if any of them can be simplified, 6/8 can be simplified by dividing both halves by 2 which then leaves you with the fraction 3/4.