Answer:
Take a fixed gap and draw 180 degree arc of equal size on each side.
The compass size should be the same for the whole process, be careful.
Make 90 degrees angle for both side and cross two arcs from each 90 degrees. The point thus obtained should be produced vertically towards the line AB. The point on the line segment is the line bisector.
Y = -4/3x + 5....the slope here is -4/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the original slope and change the sign. So we have -4/3....we flip it and it becomes - 3/4....we change the sign and it becomes 3/4. So the perpendicular line will have a slope of 3/4.
y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub into the formula and find b, the y int
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
-31/4 = b
so ur perpendicular equation is : y = 3/4x + (-31/4) which is written as :
y = 3/4x - 13/4 <== ur answer
Answer: 2520
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Work Shown:
P(n,r) = (n!)/((n-r)!)
P(7,5) = (7!)/((7-5)!)
P(7,5) = (7!)/(2!)
P(7,5) = (7*6*5*4*3*2*1)/(2*1)
P(7,5) = (5040)/(2)
P(7,5) = 2520
