Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Step-by-step explanation:
im srry if it doesnt help...
Answer:
$2.25
Step-by-step explanation:
You can find the answer by setting up a simple equation.
Brand X is 1.65 for 11 ounces
we can find the cost of one ounce of Brand X by using division
1.65/11
.15
this means that for every ounce of Brand X, it costs 15 cents
Since brand Y costs two cents more per ounce that would make it be 17 cents per ounce
now all you need to do is multiply and solve.
.15 * 15 = $2.25
In one foot, there are 0.33 yards.
Therefore, you need to multiply 26 by 0.33
20x0.33= 6.6
6x0.33= 1.98 yards.
6.6+1.98= 8.58
Therefore, in a 26' long painting, there are 8.58 yards
Hope this helps :)
If you divide 180 by 12 you will get 15 and if you divide 180 by 15 you will get 12 then subtract both products and i t will give you the answer 3