Answer:
y=2x
Step-by-step explanation:
x independent?
y dependent
positive change? so srry
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:
(a) y(x)=53+7x
(b) 179
Step-by-step explanation:
Since the first row has 60 seats and next row has 7 additional seats then we can represent it as
First row=60
Second row=60+7=67
Third row=67+7=74
The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats
To get rhe number of seats in any row x then let y be the number of seats in row x
y=53+7(x)
For raw 1
Y=53+7(1)=60
For raw 2
Y=53+7(2)=67
Therefore, the formula for number of seats at any row will be
y(x)=53+7(x)
(b)
Using the above formula
y(x)=53+7(x)
Replace x with 18 hence
Y(18)=53+7*(18)=179 seats
Reflexive Property=For all real number X,X=X
A number equals itself
Addition Property=For all real number X,y & Z,. if
X=Y then X+y=y+Z
Subtraction Property=For all real number X,Y And Z if X=y then X-Z=y-Z.
