Describe the relationship between the number of feet and numbers of yards

The following two vectors satisfy the same system of linear equations. u=⎡⎣⎢⎢6−5−5⎤⎦⎥⎥, v=⎡⎣⎢⎢746⎤⎦⎥⎥ Find x and y that make the

kondaur [170]

Answer:

x=-30/71, y=0

Step-by-step explanation:

if a vector satisfies an equation of the form ax+by+cz=0 then the vector is

parallel to the plane ax+by+cz=0, and, the cross product of two vectors results in an orthogonal vector to both.

So, <a,b,c> the normal vector of the plane ax+by+cz=0, can be found as the cross product of the two parallel vetors to the plane:

<a,b,c> = <6,-5,-5>×<7,4,6>= <-10,-71,59>

so, the homogeneous system is:

-10x-71y+59z=0

by replacing the vector <3,x,y> in the system

-30-71x+59y=0

So, there are 2 unknown variables and 1 equation, it means that 1 variable is free

so, y=0 is a random defition and x can be obtain with the equation

-30-71x=0 -> x=-30/71

3 0

3 years ago

A car company hires a marketing firm to advertise a particular model of car. After a year the marketing company presents the fol

Dovator [93]

Answer:

Yes, the graph makes it appear as if sales increased three folds.

Step-by-step explanation:

The graph presented by the advertising company is misleading, as it attempts to exaggerate the effect of its advert on sales. This can be attributed to the scale which is isn't uniform.

Last year sale was about 137000 and it grew to 150000 as a result of advertisement.

But from the bar chart, it seems there was three times increase in sales.

5 0

3 years ago

Find the dimensions and maximum area of a rectangle, if it’s perimeter is 24 inches

Andru [333]

Perimeter = 24

triangle perimeter = 2W + 2L

24= 2W + 2L

12 = W + L

L= 12-W

AREA = W*L

AREA = (W)(12-W)
A = 12W-W^2

maximum occurs when you take the derivative

d/dw=12-2w = 0
w=6

after this i think we can say 6 * 6 = 36 is the maximum area.. not to sure, havent done a problem like this in a while

hope this helps

or if we know what w=6 we can find L

L = 12-w which we still get 6<span />

6 0

3 years ago

If six girls can finish sweeping the floor of a hall in 45mins,how long will the same work take ten girls to do

AleksandrR [38]

Answer:

15 minutes i think

Step-by-step explanation:

45÷6=7.5

meaning 7.5 minutes per girl

so 4 girls would be 30 minutes of work

so 45-30=15

4 0

3 years ago

The total amount, a, in dollars, that Mitra earns is a = 14.6h, where h is the number of hours that she works. What is the const

lesantik [10]

14.6 is the constant because no matter how many hours she will work (that number could change) it will always be a linear growth of 14.6.

7 0

4 years ago

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