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
Pablo Banko a note to the team Tennessee has the 1.5 million solar 2,000,000.3 468o
Answer:
B
Step-by-step explanation:
Let me know if you need an explanation.
Here, we are required to write a real-world problem that can be represented by the given equation
On the left hand side of the equation, we can say that :
The addition of 6 to twice my cousin's age which gives 2x+6.
On the right hand side, we can say the addition of 4 to thrice my cousin's age which also gives:
3x +4
Ultimately, the real-world problem may be in the form :
Six added to Twice my cousin's age is equal to 4 added to thrice his age.
Also, my variable, x represents my cousin's age.
Read more:
brainly.com/question/12184348
9t - 3t + 4
= 6t + 4
(hence 9-3)
you can do this due to the t being the same unit (classified as a like term). if it were 9t - 3g + 4, it would have to stay the same.
