two dice are rolled, given that the total showing on the two dice is 7, find the probability that one of the dice shows the numb
2 answers:
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Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?
Rewrite the equation −2y=3x+7 in the form Here the slope of the given line is
If
is the slope of perpendicular line, then
Answer 1:
Part B. The slope of the line y=−2x+3 is -2. Since then lines from part A are not parallel to line a.
Since both lines are not perpendicular to line a.
Answer 2: Neither parallel nor perpendicular to line a
Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then
2·5+5·(-4)=b,
10-20=b,
b=-10.
Answer 3: 2x+5y=-10.
Part D. The slope of the line is
Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then
7=-4·2+b,
b=7+8,
b=15.
Answer 4: y=-4x+15.
Part E. Consider vectors These vectors are collinear, then
Answer 5: