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nataly862011 [7]
3 years ago
11

Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algeb

raically to show that you do indeed get the solution (-4, 8).
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4  8  1

.8 -4  -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1  8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter
Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = x^{2}cm^{2}

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be x^{3}=1536cm^{3}

from this, x =3\sqrt{1536}= 11.53cm

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0
3 years ago
HELPPPPPPPPPPPPPPPPP
marin [14]

Answer:

x=6

Step-by-step explanation:

24÷4=6

so 6×4=24 because of distributive proterty meaning that x=6 :))

4 0
3 years ago
A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel
Hitman42 [59]

List all the different combinations with total cost:

Airplane  + van = 350 + 60 = $410

Airplane  + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

4 0
3 years ago
6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.
Pie

Answer:

(A+B)(A+B)=A.A+B.A+A.B+B.B

Step-by-step explanation:

Given that matrices A and B are nxn matrices

We need to find (A+B)(A+B)

For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.

We know that that in matrices AB is not equal to BA.

Now find  

(A+B)(A+B)=A.A+B.A+A.B+B.B

So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.

So (A+B)(A+B)=A.A+B.A+A.B+B.B

4 0
3 years ago
16. David wanted to buy a new suit selling for $400. He negotiated with the salesperson
Reil [10]
Answer:$344

1/5 of 400 is 80 so if you subtract that it would be $320
1/50 of $400 is 8 so if you multiply that by 3,3/50 of $400 is(8*3)24 so $320+$24=$344
7 0
3 years ago
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