2x + y - z = -8
2y + 3z = -6
-1/2x + y + z = -4


For the following matrix, which of the following matrix operations would result in a11 = 1?


Multiply row 2 by -1 and add it to row 1.

Multiply row 1 by - 1/2.

Multiply row 1 by 1/2.

Multiply row 3 by -4 and add it to row 1.

(please show your solution if possible & pls just type in the comments if unsure abt your answer.. thank you)

Answers

Answer 1

Answer:

Multiply row 1 by [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

[tex]\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Where [tex]a_{11} = 2[/tex], if we need to create [tex]a_{11} = 1[/tex], we need to multiply row 1 by [tex]\frac{1}{2}[/tex], that is to say:

[tex]\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Hence, the correct answer is: Multiply row 1 by [tex]\frac{1}{2}[/tex].


Related Questions

Please help we with this angle relationship

Answers

Answer:

x=5 30 degrees

Step-by-step explanation:

theres 90 degrees in the right angle and you already have 60 degrees so you know it has to equal to 90 degrees so it has to be 30 degrees and 6 x 5 is equal to 30

hello please help i’ll give brainliest please tell me what to write..

Answers

Hey! So you have to put a dot over every number on the line that is presented above!

Example: 15 degrees Fahrenheit is presented first so you put a dot over 15 on the number line :)

Answer: 10 should have one dot, 14 should have one, 15 should have two, 16 should have one, 17 should have three, 18 should have one, and 20 should have one

Step-by-step explanation: count how many certain numbers there are and then place how ever many of the same number there are with dots on the graph

PLEASE HELP ASAP!! No explanation needed. Just yes or no please!

Answers

Answer: A) Yes, it is a solution.

=================================================

Explanation:

Replace every x with -3 and simplify both sides.

3x - 2 < 2 - 2x

3(-3) - 2 < 2 - 2(-3)

-9 - 2 < 2 + 6

-11 < 8

Since -11 is to the left of 8 on the number line, this means the inequality -11 < 8 is true. Consequently, it means the first inequality is true when x = -3.

Therefore, x = -3 is a solution.

(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104

Answers

Answer:

480

please mark brainliest

Well when you find the surface area of a rectangular prism you must use this formula: SA=2lw+2lh+2wh. Key: l= length h=height w=width. So in this case you can write the formula out like this: SA=2x120+2x48+2x40. So just multiply all of of those and you will get the correct answer. If you have any questions let me know. (It is not the same answer as the first person said) it would be helpful if you marked this brainliest!

Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?

Answers

Answer:

29

Step-by-step explanation:

x+11÷8=5

5 × 8 = 40

40- 11 = 29

29 + 11 ÷ 8 =5

8 (x + 4) = 62.4 what does x represent

Answers

Answer:

8 (3.8 + 4)

Step-by-step explanation:

x=3.8

What does the x represent. The x represent 3.8

Does anyone know this

Answers

Answer:Answer:

13.0feet

Step-by-step explanation:

Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.

Using SOH, CAH, TOA to get the unknown EF.

Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse

Based on SOH:

Sin<D = Opposite/Hypotenuse

Sin<D = EF/DE

Sin19° = EF/40

EF = 40sin19°

EF = 13.0 feet to the nearest tenth of a foot

95 feet above sea level would be expressed by the

Answers

Answer:

Above sea level   x+95

Step-by-step explanation:

brainliest?

Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.

A. Point A: (1, 2)
B. Point B: (-1, -2)
C. Point C: (4, 2)
D. Point D: (0, 2)

Answers

Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.

Answer: The answer to this problem would be points A and B

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Answers

Answer: Im pretty sure its 1

Step-by-step explanation:

Because 11 is the only alternate exterior angle

Simplify 3(-6+4) please

Answers

Answer:

−6

Step-by-step explanation:

3(−6+4)

=(3)(−2)

= −6

Hope this helps :)

Do the Brackets

-6+4=-2

Now multiply 3 and -2

3*-2=-6

You have your answer

-6

need help finding area

Answers

Answer: 94.425

Below is the processed I used. If you have any questions let me know!

The measure of an angle is 68.8 degrees. What is the measure of its complementary angle

Answers

Answer:

complementary angles are sum up to 180°

68.8+x=180°

68.8 complementary angle is 111.2


I need help with this please help meeee:(!

Answers

Answer:

f=c+2

Step-by-step explanation:

f = c + 2Please let me know if I am wrong.

1. Find the surface area of the prism.

2. Find the volume of the pyramid.

Answers

Answer:

1. surface area is 280 2. 144

Step-by-step explanation:

please mark as brainliest if correct

thank you

Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?

Answers

Answer: 72$

Step-by-step explanation:

because

factorise
3(m-4)+b(4-m)​

Answers

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

Answer:

(m-4) (3-b)

Step-by-step explanation:

See the steps below:)

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is not divisible by 2, 7, or 9.
A. 13/50
B. 16/25
C. 9/25

Answers

Answer:

13/50

Step-by-step explanation:

The probability is 13/50.

Answer:

9/25 on odyssey

Step-by-step explanation:

Wildlife reserve has 7 lion cubs born in the spring and now has 41 total lions. Write an equation to represent the situation.

Answers

Answer:

(x + 7) = 41

Step-by-step explanation:

Let the number of lions in the wildlife reserve = x

Since, 7 lion cubs were born, so the total number of lions in the wildlife reserve will be (x + 7)

Now total number of lions = 41

Therefore, equation representing this situation will be,

(x + 7) = 41

In 2011, there were five hundred seventy-one thousand, one hundred eight people in the United States Army. What is that number in standard form?​

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Number of people in the U.S Army = Five hundred seventy-one thousand, one hundred eight people

Number in standard form = 571,108

Can anyone please explain how to find the area of each type of 3d composite figure? Please make it easy for me to remember, long paragraphs make it hard, Thanks! if your explaintion helps me I'll give you brainliest! ​

Answers

Answer:

Ok look i dont know but

Step-by-step explanation:

if you like this i will gift you a prize.

Please hurry, this is past due!

A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.

A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices

Answers

D. The answer is area

Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.

Answers

Answer:

B

Step-by-step explanation:

We can determine the total miles run by the 10 students by adding all the miles run by each individual student:

A

1 student * 1/12 miles = 1/12 miles

2 students * 1/8 miles = 2/8 miles = 1/4 miles

1 student * 1/6 miles = 1/6 miles

2 students * 1/4 miles = 2/4 miles = 1/2 miles

1 student * 1/3 miles = 1/3 miles

3 students * 1/2 miles = 3/2 miles

We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.

B

2 students * 1/6 miles = 1/3 miles

2 students * 1/4 miles = 1/2 miles

2 students * 1/3 miles = 2/3 miles

3 students * 1/2 miles = 3/2 miles

1 student * 1 mile = 1 mile

We add all these fractions to obtain 4 miles, which is as the question describes.

The product of a number and 3 is the sum of the number and 12. What is the number

Answers

Answer:

6

Step-by-step explanation:

3n = n + 12

2n = 12

n = 6

Answer:

6

Step-by-step explanation:

let the number be x , then

3x = x + 12 ( subtract x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

That is the number is 6

Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
passing through the point (3, -12).

Answers

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

A rectangular park is 100 yards wide and 145 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.

Answers

Answer: width=295  lenght =295

Step-by-step explanation:perimeter=l plus l and w plus w

                                                               100 plus 100 plus 145 plus 145=490/2=245                    

Answer:

width = 110 yards

length = 135 yards

Step-by-step explanation: I think.

what is the distance between (7, 8) and (-8, 0) on the coordinate grid?

Answers

Answer: Are you asking for slope?

Step-by-step explanation:

8-0 = 8

7-(-8) = 15

8/15

Can someone pls tell me what the little symbol is pls.

Answers

Answer:

plus minus

Step-by-step explanation:

Answer:

-Symbol: ±

-Symbol Name: plus - minus

-Meaning / definition:  both plus and minus operations

~~~~~~~~~~~~~~~~~~~

-Example: 3 ± 5 = 8 or -2

                 3+5=8

                     or

                 3-5=-2

Ahhhhhhhhhhhhhhhhhhhhhhh someone plzzzzz help

Answers

Answer:

15, 80

Step-by-step explanation:

1) I am assuming the first picture is a 90 degree angle total, because the question can't be solved without that assumption.

  90 - 75 = 15

  x = 15

2) The whole angle is 180 so 180 - 75 - 25 = CAD

  CAD = 80

Answer:

15° and 80°

Step-by-step explanation:

for the first one since its a right angle then its equal to 90 degrees

90-75 = 15     x=15°

for the second one since the line is a straight line then put it equal to 180

25+75+x=180

100+x=180

x=80°      

Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?

Answers

Answer:

1750

Step-by-step explanation:

divide 7500 by 2 and you get 3750

3750-2000=answer

Answer:

1750

Step-by-step explanation:

7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.

3750-2000=1750 needed to save.

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