Answer:
<em>PT=30 units</em>
Step-by-step explanation:
Given that:
Line PQ which has a mid point at T.
and

To find:
PT = ? in simplified terms.
Solution:
First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.
In other words:
If a point B is the mid point of line segment AC, then AB = BC.
Here, the point T is the midpoint of PQ.
i.e. PT = TQ

Putting value of
in PT above:

Substitution doesn't work for this, but elimination does.
-6x-8y=-20 +6( x+6y=-6)
-6x-8y=-20 + 6x+36y=-36
-6x and 6x cancel each other, add -8 and 36 to get 28, and -20 and -36 to get -56.
28y=-56
divide by 28 on both sides.
Y= -2
Then substitute y into one of the equations.
x+6(-2)=-6
x-12=-6
x=6
The ordered pair is (6,-2).
Answer:
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
Step-by-step explanation:
let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that
U≤ l and 1-U ≤l
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
this means 1-l≤U≤l
so we have
if we have L [1/2,1]
then apply the formula we have E(L)=3/4
Okay so you are correct with the gradient of the perpendicular line it is -5/2 however the equation is not y= -5/2 -1 because it is a new Line and has a new y-intercept therefore its Y=-5/2 + C but you have corrected that when doing the formula and have got the right answer
Answer:
H = 14.33 i think
Check in with me if it is wrong