Answer: (10, ∞)
Step-by-step explanation:
See the graph in the attached image.
I am pretty sure the answer is 180
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span> = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>
Answer:
$44.40
Step-by-step explanation:
Markup is the difference between the sell price and the cost of building
1) Find total cost of building the lawn mower: $35 + $39.17 + $36.43 = $110.6
2) Subtract the total cost from the sell price: $155.00 - $110.6 = $44.40
Answer:
I think Mikhail's age is 5
The question say Gabrielle's age is 3 times his
so 5 × 3 = 15
15 + 5 = 20
