Answer:
B and D
Step-by-step explanation:


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: 40 %
Step-by-step explanation:
Let the amount of one card = x
Hence, the value of 20 cards ( Principal amount ) = 20x
And, the value of 22 cards ( Total amount after 3 month ) = 22x
⇒ Total interest in 3 month = 22x - 20x =2x
Let the annual interest rate = r %
( By the formula of simple interest rate )




Hence, the annual rate of interest = 40%
Answer:
The answer is c) y= 1.8(2.5)^x
Step-by-step explanation:
I just took the test.
Answer:
try multiplication
Step-by-step explanation: