Answer:
Well, x=3, -3
Step-by-step explanation:
If you use a calculator you'll easily be able to figure this out.
B and C (I think they are the same)
The perimeter of the triangle is 13.56 units.
The perimeter of a shape on a coordinate plane is found by finding the distance between all points, and then adding them together. It's easier to write it out than to type so I'll attach a photo of my work.
Hi there what you need is lagrange multipliers for constrained minimisation. It works like this,
V(X)=α2σ2X¯1+β2\sigma2X¯2
Now we want to minimise this subject to α+β=1 or α−β−1=0.
We proceed by writing a function of alpha and beta (the paramters you want to change to minimse the variance of X, but we also introduce another parameter that multiplies the sum to zero constraint. Thus we want to minimise
f(α,β,λ)=α2σ2X¯1+β2σ2X¯2+λ(\alpha−β−1).
We partially differentiate this function w.r.t each parameter and set each partial derivative equal to zero. This gives;
∂f∂α=2ασ2X¯1+λ=0
∂f∂β=2βσ2X¯2+λ=0
∂f∂λ=α+β−1=0
Setting the first two partial derivatives equal we get
α=βσ2X¯2σ2X¯1
Substituting 1−α into this expression for beta and re-arranging for alpha gives the result for alpha. Repeating the same steps but isolating beta gives the beta result.
Lagrange multipliers and constrained minimisation crop up often in stats problems. I hope this helps!And gosh that was a lot to type!xd
Answer:
Option C → Congruent segments
Step-by-step explanation:
The meaning of segment bisector is a segment which divides another segment into two equal parts.It is not necessary that the segement which is bisecting the another segment are perpendicular with one another.
So, when a segment is bisected the two segments are equal.
Equal means the two segments are congruent.
Most appropriate statement
