Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
I think its 40 over 81, 40/81
Answer:
the slope I think is -6/1. because a slope is rise(-6) over run(1). negative because the line goes down
Answer:
Step-by-step explanation:
Since -5x is common to both factors, hence the factored form is;
-5x(3y - 5)
<h3>Factoring equation</h3>
Given the exprssion -15xy + 25x
Fing the factors of each term
-15xy = -5 * 3 * x * y
25x = 5 * 5 * x
Since -5x is common to both factors, hence the factored form is;
-5x(3y - 5)
Learn more on factored form here: brainly.com/question/43919
