Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = < 3, 0> , v = < 0, -6>

it is orthogonal

Step-by-step explanation:

if you do the dot product.

U dot V = 0

(3 times 0) + (0 times 6 ) = 0

0 + 0 = 0

therefore it is orthogonal.

the dot product says that if u dot v equals zero, then you can say that it is orthogonal.

 The given vectors u and v are orthogonal.

Step-by-step explanation:  We are given to check whether the following vectors are parallel, orthogonal or neither :

u = <3, 0> and v = <0, -6>.

WE have

the dot product of the vectors <a, b> and <c, d> is given by

D.P. = ac + bd.

So, the dot product of the given vectors u and v is given by

D.P. = <3, 0> . <0, -6> = 3×0 + 0×(-6) = 0 + 0 = 0.

Therefore, the given vectors are orthogonal.

Thus, the vectors u and v are orthogonal.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.