Would use the algorithm for solving square root.
For square root, √n
x₁ = 0.5(x₀ + n/x₀)
(This formula is known and for square root, and can be derived using Newton-Raphson's approximation equation)
Where x₀ is the initial guess. x₁ becomes the new guess.
For √100.6 let our initial guess be 10, x₀ = 10, n = 100.6
Our approximation shall be to 3 decimal places. Once we get the same answer twice we stop the algorithm.
x₀ = 10, x₁ = 0.5(x₀ + n/x₀), x₁ = 0.5(10 + 100.6/10) = 10.030, x₁ = 10.030
x₂ = 0.5(x₁ + n/x₁), x = 0.5(10.030 + 100.6/10.030) ≈10.015, x₂ ≈ 10.030 (to 3 decimal places)
Since x₂≈ x₁, the algorithm stops.
So the √100.6 is ≈ 10.030 to 3 decimal places.
I hope this helps.
Answer:
A
Step-by-step explanation:
So from 36 to 60 is add 24 and for 3 to 5 is add 2 so that gave u 24/2 that is = 12 and u do ur Y=MX+B 36=(12)(3)+b = 36=36+b then u subtract 36 = to 0 so B=0 and that how u get Y=12x.
Answer:
Since y is a solution of the homogeneus system then satisfies Ay=0.
Since z is a solution of the system Ax=b then satisfies Az=b.
Now, we will show that A(y+z)=b.
Observe that A(y+z)=Ay+Az by properties of the product of matrices.
By hypotesis Ay=0 and Az=b.
Then A(y+z)=Ay+Az=0+b=b.
Then A(y+z)=b, this show that y+z is a solution of the system Ax=b.
You should ask your parent/guardian or teacher if needed! Merry Christmas!
