I'm pretty sure it depends what kind of triangle it is
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
36/9= 4
Step-by-step explanation:
This is a fraction equal to
36 gallons ÷ 9 minutes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 9
36 gallons ÷ 9
9 minutes ÷ 9
=
4 gallons
1 minute
=
4 gallons
minute
= 4 gallons per minute
If you’re trying to find y the answer should be anything that equals more than negative 7 for example y could be 10
