a = ( 1 , 6 )
b = ( 4 , 9 )
Now just need to put the coordinates in the above equation :
And we're done...♥️♥️♥️♥️♥️
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
Answer:
Garrett can order stickers from two companies. Company A charges a $30 design fee plus $0.80 per sticker. Company B charges a $14 design fee plus $1.20 per sticker. How many stickers would Garrett have to order for the cost at both companies to be the same?
Step-by-step explanation:
i got it right
Well it depends what 'v' stands for
well all you need to do is replace the v with the number it stands for. For example if v=2 then the expression would be 4.2(2) - 5 - 6.5(2)
Then you use the order of operations. first you multiply
8.4 - 5 - 13
then you subtract from left to right
8.4 - 5 = 3.4
3.4 - 13 = -13 - 3.4 = -9.4
So IF v=2 (I used 2 as an example, V might not = 2 in your case) then the
answer will be -9.4
I hope this helped you :3
Answer:
-1
because you are adding up to 0 to get back to the positive.
