What we know:
line P endpoints (4,1) and (2,-5) (made up a line name for the this line)
perpendicular lines' slope are opposite in sign and reciprocals of each other
slope=m=(y2-y1)/(x2-x1)
slope intercept for is y=mx+b
What we need to find:
line Q (made this name up for this line) , a perpendicular bisector of the line p with given endpoints of (4,1) and (2,-5)
find slope of line P using (4,1) and (2,-5)
m=(-5-1)/(2-4)=-6/-2=3
Line P has a slope of 3 that means Line Q has a slope of -1/3.
Now, since we are looking for a perpendicular bisector, I need to find the midpoint of line P to use to create line Q. I will use the midpoint formula using line P's endpoints (4,1) and (2,-5).
midpoint formula: [(x1+x2)/2, (y1+y2)/2)]
midpoint=[(4+2)/2, (1+-5)/2]
=[6/2, -4/2]
=(3, -2)
y=mx=b when m=-1/3 slope of line Q and using point (3,-2) the midpoint of line P where line Q will be a perpendicular bisector
(-2)=-1/3(3)+b substitution
-2=-1+b simplified
-2+1=-1+1+b additive inverse
-1=b
Finally, we will use m=-1/3 slope of line Q and y-intercept=b=-1 of line Q
y=-1/3x-1
Answer:
Step-by-step explanation:
Answer:
x = 
y =
Step-by-step explanation:
the ratio of the sides of a 45 - 45 - 90 triangle is shown at the bottom of this answer.
as you can see, it is x:x:
The side given is x
, so you have:
divide both sides by
x = 
multiply this by 
y is also equal so y =
Answer: Make X the subject
Step-by-step explanation:
Answer and Step-by-step explanation:
The computation of the class width for a frequency is shown below:
Class width is
= 10.86
= 11
Now the class limits for a frequency table
Particulars Lower class limit to upper class limit
First class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
