Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0

Answers

Answer 1

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

[tex]\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right][/tex]

Hence,

The property shown in matrix addition given is "Additive Inverse Property"


Related Questions

Anthony receives $12 in allowance every week.He currently has $492 saved.How many weeks has he been saving?

Answers

Answer:

He has been saving for 41 weeks.

Step-by-step explanation:

492 is the total, we need to divide 492 by 12 to get how many weeks, 41 is the answer

4x + 5y = -30
slope intercept form

Answers

Answer:Y=4/5x-6







Explanation:

Slope intercept form of the equation 4x + 5y = - 30 is written as,

⇒ y = - 4/5x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ 4x + 5y = - 30

Now, We know that;

Slope intercept form of the equation is,

⇒ y = mx + c

Here, The equation is,

⇒ 4x + 5y = - 30

Subtract 4x both side,

⇒ 4x + 5y - 4x = - 30 - 4x

⇒ 5y = - 4x - 30

Divide by 5 both side, we get;

⇒ y = - 4/5x - 6

Hence, The Slope intercept form of the equation is,

⇒ y = - 4/5x - 6

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Write an equation perpendicular to x-3y=3 passes through (5,-9)

Answers

3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.

 Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.

    If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,

[tex]m_1\times m_2=-1[/tex]

Line given in the question is,

x - 2y = 3

-2y = 3 - x

[tex]y=\frac{1}{3}x-1[/tex]

Slope of this line is,

[tex]m_1=\frac{1}{3}[/tex]

Therefore, slope of the perpendicular line to the given line will be,

[tex]\frac{1}{3}\times m_2=-1[/tex]

[tex]m_2=-3[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (5, -9) and slope (-3) will be,

y - (-9) = -3(x - 5)

y + 9 = -3x + 15

y = -3x + 6

      Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.

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-4(5x - 3) + 15
Solved please!

Answers

Answer:

Step-by-step explanation:

-20x + 12 + 15

-20x + 27

I think the answer is 75

Set up a proportion and solve. Round answers to the nearest tenth.

What is 20% of 72?

Answers

14.4 I hope this helped you :)
It would be 14.4 (it’s already a tenth so no rounding) be if it needs to be rounded to nearest whole number, it would be just 14 :)!! Hope this helps!! Pls mark as brainliest!! Have a great night!!


1. According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven heated
to 325 Fahrenheit. How long should it take to cook a roast that weighs 12 pounds?

Answers

回答:   正直わからない

説明:   私たちは愛する見知らぬ人ではありません

あなたはルールを知っています、そして私もそうです

完全なコミットメントは私が考えていることです

あなたは他の人からこれを取得しないでしょう

気分を伝えたいだけです

お奨めはあなたに理解させる

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

私たちは長い間お互いを知っていました

あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です

内部では、私たち二人は何が起こっているのかを知っています

私たちはゲームを知っていて、それをプレイするつもりです

そして、あなたが私にどのように感じているか尋ねれば

あなたが盲目すぎて見ることができないと私に言わないでください

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

(ああ、あきらめて)

(ああ、あきらめて)

(ああ)決して与えるつもりはない、決して与えるつもりはない(あなたをあきらめる)

(ああ)決して与えるつもりはない、決して与えるつもりはない(あなたをあきらめる)

私たちは長い間お互いを知っていました

あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です

内部では、私たち二人は何が起こっているのかを知っています

私たちはゲームを知っていて、それをプレイするつもりです

気分を伝えたいだけです

お奨めはあなたに理解させる

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない™

Which linear regression equation best fits the given points?

(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)

yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9

Answers

Answer:

Here you go! Hope I am not to late..

Step-by-step explanation:

I took the test.

Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Leave your answer in simplest form in the form of a/b − c/d

If one of your numbers is a whole number, put a 1 in that denominator

Answers

well what i got was:

the exact form: 233/28

decimal form: 7.96428571...

mixed number form: 7 27/28

not sure if this is right at all but i hope it helps at least a little

hi

1/7 * (56 -1/4) =   56/7 - 1/28  =   224/28 - 1/28 =  223 /28  

as 223 is  prime, it's cannot be simplified.   however  it 7 +27/28

There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.

Answers

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          [tex]= \frac{1}{4}*60[/tex]

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          [tex]=\frac{1}{5}*45\\\\= 9[/tex]

Number of houses that are left = 45 - 9 = 36

If the temperature is 5°F outside and the wind is blowing 15 miles an hour, the wind chill makes it feel like the temperature is 25°F below zero. Which integer represents the wind chill temperature? * PLZ HELP

Answers

Answer:

-30

Step-by-step explanation:

5-(-25)

=30

(has nothing to do with wind speed)

PLS GIVE BRAINLIEST

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Below zero degrees means the temperature is in negative value.

The integer that represents the wind chill temperature is -25°F.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Temperature outside = 5°F

The wind is blowing 15 miles an hour.

The wind chill makes it feel like the temperature is 25°F below zero.

Below zero degrees means the temperature is in negative value.

This can be represented by an integer as,

= -25°F

Thus,

The integer that represents the wind chill temperature is -25°F.

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Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?

Answers

Answer:

13 1/3

Step-by-step explanation:

10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3

sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .

Answer:

13 1/3

Step-by-step explanation:

what is the meaning of function

Answers

Answer:

A relationship or expression involving one or more variables

Step-by-step explanation:

a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle?

Answers

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].

4(11 + 7) ÷ (7 – 5) Simplify the expression.

Answers

Answer:

36

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

Use distributive property: 11+28 / 7-5

Add: 11+28 ( 39 ) Subtract: 7-5 ( 2 )

Divide: 39/2 ( 19.2 )

A store manager created this table representing the relationship between the reported number of snow days during a given month, x, and the sales revenue of bags of rock salt, y, rounded to the nearest dollar.

Using the linear best-fit model for the data, what is the predicted sales revenue of rock salt given there were 11 snow days in the month?

$773.00
$1,374.00
$1,457.00
$1,474.00

Number of snow days

Rock salt sales revenue
2 $823.00
1 $725.00
3 $943.00
5 $1,086.00
4 $997.00
3 $951.00
7 $1,163.00
6 $1,098.00

Answers

Answer:

1374.00

Step-by-step explanation:

I just took the test

oh this is for k12 students by the way

PLS HURRY!
Which statement is true about the polynomial
5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?

It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.

Answers

A is the correct answer 3 terms and a degree of 9:)

Is it a nonlinear or a linear

Answers

Answer: linear



Step-by-step explanation:

-Hope this helps :D

4x2 divided by 3 please help thanks you

Answers

Answer:

2 2/3 or 2.6... in decimal

Step-by-step explanation:

4*2 = 8

8/3 = 2 2/3

An experiment involves studying the composition of genders of a set of triplets. What is the probability that there are 2 boys and a girl in the set?

Answers

Answer:

shoot man couldnt tell ya

At end of the first half of a football game, Nathan had carried the ball for 50.5 yards. By the end of the game, he carried the ball for a total of 75 yards. Find the percent of increase in the number of yards he carried. Round to the nearest whole tenth if necessary.

Answers

Answer:

48.5%

Step-by-step explanation:

Given parameters:

Distance after first half = 50.5yd

Distance at the end of game = 75yd

Unknown:

Percent increase in the number of yards he carried = ?

Solution:

To find the percent increase;

  Percent increase  = [tex]\frac{change in distance}{distance at half time}[/tex] x 100

  Percent increase  = [tex]\frac{75 - 50.5}{50.5}[/tex] x 100  = 48.5%

can someone answer these?

Answers

Answer:

1. SSS

2.SSA

3.ASA

Step-by-step explanation:

For number one there is three congruent sides with the on in the middle

For number two there is two sides and one angle congruent

And number three has an embedded side between the two angles

A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3

Answers

Answer:

y = -3x-1

Step-by-step explanation:

Point-slope equation of a line

y-y1=m(x-x1)

(x1,y1) are coordinates of a point in the line = (-3,8)

m is the slope of the line = -3

Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)

y-8=-3(x+3)

y-8=-3x-9

+8 +8

y = -3x-1

None of the options are correct

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

2 units
4 units
8 units
16 units

Answers

Answer:

4 Units

Step-by-step explanation:

Edge 2021

Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is:

x² + y² - 10x + 6y = -18

Then, we start the steps to complete the squares, as follows:

x² - 10x + y² + 6y = -18

(x - 5)² + (y + 3)² = -18 + 25 + 9

(x - 5)² + (y + 3)² = 16

Then, the radius is found as follows:

r² = 16 -> r = 4 units.

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PLEASEEEEEEEEEEE HELP MEH WILL GIVE BRAINLIST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYY

Answers

Answer:

the awnser is b

.........

Example 4: In May 2006, Commonwealth Edison Company supplied electricity to residences for a

monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

supplied in the month, and $0.06208 per kWhr for all usage over 400 kWhr in the month. (a) What is the

charge for using 300 kWhr in a month? (b) What is the charge for using 700 kWhr in a month? (c) If Cis

the monthly charge for x kWhr, develop a model relating the monthly charge and kilowatt-hours used.

That is, express C as a function of x.

Answers

Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

Step-by-step explanation: I took this test before so I hope this helps gl on the test

a) The charge for using 300 kWhr in a month is $ 32.41

b) The charge for using 700 kWhr in a month is $ 59.30

c) The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The monthly charge = $ 7.58

The monthly charge for per kWhr = $ 0.08275

The monthly charge per kWhr over 400 kWhr = $ 0.06208

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Now ,

a)

The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300

                                                         = 7.58 + 24.825

                                                         = $ 32.405

Therefore , The monthly charge for 300 kWhr is $ 32.41

b)

The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

The monthly charge for 700 kWhr =  
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Substituting the value for x as 700 , we get

= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )

= 40.68 + 18.624

= $ 59.304

Therefore , The monthly charge for 700 kWhr is $ 59.304

c)

Let x represent the number of kWhr used and C be the monthly charge for x kWhr.

The model can be split into 2 parts of condition , where

For , 0 ≤ x ≤ 400

The function is 7.58 + 0.08275x

For , x > 400

The function is 15.848 + 0.06208x

Therefore ,

The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304

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Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) - g(x).
Must show all work to receive credit! Show your work in the box below

Answers

Answer:

its the same steps as the other one I answered for you except subtract

Step-by-step explanation:

x-1

Answer:

f(x) - g(x) = 2x^2 - x - 1

Step-by-step explanation:

f(x) = 2x^2 + 4x - 3 g(x) = 5x - 2

f(x) - g(x) = (2x^2 + 4x - 3) - (5x - 2)

= 2x^2 + 4x - 3 - 5x + 2

= 2x^2 - x - 1

What does one equal 10+ b over 25 equal

Answers

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

The answer is 15 because that is what it is.

(x-8)(2x+5)=0 solve the equation

Answers

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Hope this helps and have a great day :)

Tony rents a bike that costs $4 per hour and $10 for the lock. He has $32 to spend. How long can he rent the bike? Write an equation that represents this situation. Be sure to explain how you got your equation and specify what the variables represent.

Answers

Answer:

5 hours; 4x+10=32

Step-by-step explanation:

4x = 4 multiplied by the amount of hours

10 = the cost for the lock

so y = 4x+10

In this case y= 32 so plug it in

4x+10=32

    -10  -10

4x=22

/4   /4

x=5.5

So assuming you can only rent whole hours, it would be 5 hours

Hope this helps.

Answer:

he can rent the bike for 5 hours

Step-by-step explanation:

32-10=22

22*4=5

What is 727.526 in word form

Answers

Answer:

I believe that's a decimal point

Step-by-step explanation:

If yes then,

Seven hundred and twenty seven point five two six

Answer:

727.526 in word form is :Seventy-five thousand seven hundred and twenty-six

Step-by-step explanation:

hope this helps :)

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