First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
Answer:
1/12
Step-by-step explanation:
you need to make sure that they have a common denominator before doing anything.
Find the lowest common multiple (lcm), which would be 12 (3 x 4 = 12)
So then, put 12 as both denominators, and subtract.
7/12 - 9/12 is equal to 28/12 - 27/12, because 3 miltiplied by 4 equals 12, therefore you mutiply the 7 by the 4, and 4 miltiplied by 3 equals 12, therefore you multiply the 9 by the 3.
Sorry if this is confusing, i tried explaining as best i could! Hope this helped!
Answer: 1 1/2
Step-by-step explanation: So you have 9 pounds and you have to distribute it out between 6 bags, so 9 divided by 6 you get 1 1/2 and so 1 1/2 pounds of sand go into each small bag
