How do you upload the pictures on here?
Answer:
3 1/3 or 3.3(repeated)
Step-by-step explanation:
2/3 ÷ 1/5
= 2/3 × 5
= 10/3
= 3 1/3 or 3.3(repeated)
I hope this helped!
Answer:
QR and SV
RS and TU
Step-by-step explanation:
Answer: 2(0) + 8 does not equal 12, not a solution.
2(2) +8 = 12 yes it is a solution
2(-3) + 8 does not equal 12, not a solution
2(5) + 8 does not equal 12, not a solution.
Step-by-step explanation:
Looks like you need to plug in each y value given and multiplied by 2 and add 8
2(0) + 8 does not equal 12, not a solution.
2(2) +8 = 12 yes it is a solution
2(-3) + 8 does not equal 12, not a solution
2(5) + 8 does not equal 12, not a solution.
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
