Select the correct answer from each drop-down menu. if u = < -4, 8> and v = < -7, 5> , v − 5u = and ||v − 5u|| ≈ .

v-5u = <13,-35>

||v − 5u|| = 37.33

Step-by-step explanation:

If u = <-4, 8> and v = <-7, 5>

a) v-5u

Multiply u with 5 and then subtract from v

v-5u = <-7,5>-5<-4,8)>

v-5u = <-7,5> - <-20,40>

v-5u = <-7+20,5-40>

v-5u = <13,-35>

b) ||v − 5u||

We already have found v-5u=<13,-35>

Now, we will find ||v − 5u|| =

||v − 5u|| =

||v − 5u|| =

||v − 5u|| =

||v − 5u|| = 37.33

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: