2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB​

Answers

Answer 1

Correct option is C) A² - B² + BA – AB

Step-by-step explanation:

(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.

=A² + BA - AB - B²

And as matrix product is not commutative, so AB¦=¦BA

Hence option C is correct.


Related Questions

Find the volume of the prism.

Answers

Answer:

172.8 m^2

Step-by-step explanation:

7.2/2 = 3.6

3.6*4.8 = 17.28

17.28*10 = 172.8

345.6m I think because volume is length*width*height

Please help me solve for Z

Answers

The correct value of z in this figure is 190⁰

The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.

– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.

145 + 24 + z = 360⁰

– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.

145 + 24 + z = 360⁰

170 + z = 360⁰

z = 360⁰ - 170

z = 190⁰

So, the value of z, will be 190⁰

NEED HELP ASAAAAP
What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)

Answers

Answer:

D.f(x-2)

g is f shifted to the right by 2. So, f(x-2) is the correct answer.

Hope this helps!!!

Please mark me as brainliest!!!


Swimming Pool On a certain hot summer's day, 366 people used the public swimming pool. The
daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $767.50.
How many children and how many adults swam at the public pool that day? There were
children at the public pool.

Answers

Answer:

c=__ and a=__

Step-by-step explanation:

767.50=1.25(c)+2.25(a).

366=c+a

normally from here, I would just guess the number of adults and children. It does take a while doing it that way, but maybe you know a quicker way. Hope this helps :)

Tara is making dinner for 9 people. she mixes 114 kilograms of rice with 500 grams of vegetables and 410 grams of meat. if all of the food is split evenly among the diners, what is the size of each serving?
a.240 grams
b.244 grams
c.250 grams
d.256 grams

Answers

Answer:

Step-by-step explanation:

Remark

An amount no 9 people could consume. 114 kg is a huge amount of cooked rice. I' going to give a solution that says the rice is 114 grams of rice and see what happens.

Givens

rice =        114 grams

veggies = 500 grams

meat     =  410 grams

Solution

Add the givens

114

500

410

Total = 1024 grams

If 9 people are going to be present, (I assume that includes Tara), then each person will get 1024 / 9 = 113.8 which is none of the choices. There is something wrong with the problem. I would suggest you ask your teacher how this is done.

Answer

None of those given

Find the gradient of the line joining (-1,9) and (3,5)

Answers

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

   Find the gradient of the line joining (-1,9) and (3,5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

Replace the letters with the numbers:-

[tex]\boxed{\frac{5-9}{3-(-1)}}[/tex]

[tex]\circ[/tex] On simplification,

[tex]\boxed{\frac{-4}{3+1}}[/tex]

[tex]\circ[/tex] On further simplification,

[tex]\boxed{\frac{-4}{4}}[/tex]

[tex]\circ\sf{SLOPE=-1}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

What is the answer to this question?

Answers

Answer:

[tex]\huge\boxed{\bf\:tan \: Z= \frac{4}{3}}[/tex]

Step-by-step explanation:

We know that, tan θ = opposite side of ∠θ / adjacent side of ∠θ.

Here, we need to find tan Z,

In this triangle for ∠Z,

Opposite side = 28Adjacent side = 21

Then,

tan Z

= opposite side / adjacent side

= 28 / 21

= 4 / 3

[tex]\rule{150pt}{2pt}[/tex]

all i know is the answer isn’t 10. pls help

Answers

Answer:

X is 72 i think

Step-by-step explanation:

all triangle equal 180, triangle formula bxh/2, so i did that and got 72.

12.3 Write the first five terms of the sequence whose general term is [tex]a_{n}=3^{n}+4[/tex] .

Answers

Answer:

7,13,31,85,247......

Step-by-step explanation:

[tex]a_n =3^n + 4[/tex]

        [tex]\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247[/tex]

1. Which is a set of collinear points? (1 point)
J, H, I
L, H, J
J, G, L
L, K, H

Answers

The answer is J,H,I because

One-third of the Socer training participants are four-fifths of the Dance training
students. Twelve Dance training students do not participate in the Soccer training.
What is the total number of students who participate in the Soccer training?

Answers

Answer:

There are a total of 144 students in soccer training.

Step-by-step explanation:

12x5=60

60-12=48

48=4/5

4/5=1/3

1/3 = 48

48x3= 144

Choose the histogram that has the smallest variance. ​

Answers

The histogram first represents the smallest variance option first is correct.

What is a histogram?

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have four histograms shown in the picture.

As we know in a histogram, the curves that resemble hills show groupings of statistics that are close collectively, leading to low variation.

Whenever the taller bars are farther away from the mean in a histogram, the variability is greater, and when the taller bars are closer to the mean, the variability is less.

In the histogram first, there is very less variability.

Thus, the histogram first represents the smallest variance option first is correct.

Learn more about the histogram here:

brainly.com/question/16819077

#SPJ1

Find the area and the area of the figure.​

Answers

Answer:

352

Step-by-step explanation:

sssplit the shapes and then do regular formula

a = lh

Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24, ...

Answers

Answer:

S₂₀₀ = 121800

Step-by-step explanation:

the sum to n term of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 12 and d = a₂ - a₁ = 18 - 12 = 6 , then

S₂₀₀ = [tex]\frac{200}{2}[/tex] [ (2 × 12) + (199 × 6) ]

       = 100(24 + 1194)

      = 100 ×1218

     = 121800

if you have 48 apples and you gave your friend molly 20 and you gave your brother and mom 18 each how much apples do you have now?

Answers

Answer:

10

Step-by-step explanation:

48-20=28

28-18=10

that is how I see it at least

19. Solve for the angle x.
sin²(2x) = 1

Answers

Answer: Е

Step-by-step explanation:

▪︎ a^2 - b^2 = (a-b)(a+b)

sin^2(2x) = 1

sin^2(2x) - 1 = 0

(sin2x - 1)(sin2x + 1) = 0

sin2x - 1 = 0 or sin2x + 1 = 0

sin2x - 1 = 0

sin2x = 1

2x = 90° + 360°n

x = 45° + 180°n

▪︎180° means half of the unit circle, therefore,

x = 45° + 360°n and

x = 45° + 180° + 360°n = 225° + 360°n

sin2x + 1 = 0

sin2x = -1

2x = 270° + 360°n

x = 135° + 180°n

therefore,

x = 135° + 360°n and

x = 135° + 180° + 360°n = 315° + 360°n

n is an integer

first correct answer gets brainleist pls help asap​

Answers

Answer:

The angle is acute. This type of angle must be between 0° and 90°, and Orla's estimate is not.

reflection across y = 1

Answers

Answer:

Vertical Reflection Apply a reflection over the line y=-1 The procedure to determine the coordinate points of the image is the same as that of the previous example with minor differences in that the change will be applied to the y-value and the x-value stays the same.

Step-by-step explanation:

BRAINLIST PLEASE

fast i need it thanks

Answers

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

Need help please answer ASAP!

Answers

Perimeter of larger sail

10+24+2660ft

Now

Let shorter sail's Perimeter be x

x/6=60/10x/6=6x=36

#2

Let they be 2x and 7x

2x+7x=1809x=180x=20

Smaller angle

20(2)=40

Which algebraic expression represents the situation "add seven to the product of a number and ten"?

Answers

Hello im sorry if the answer turned out wrong, but this is what i know

7 (10 - X)

Which expression is equivalent to 5m + 8m?
m + 13
12m
13m
13
m

Answers

Answer:

13 m

Step-by-step explanation:

5m + 8m = 13m

The answer is 13m as both of them are like term and can be added....

13m is the correct answer

please help TT i cant fail this quarter

Answers

The value of x in the diagram is : 75°

what is an isosceles triangle?

An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.

Analysis:

Since GF = EF

∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)

∠FGE + ∠FEG + ∠GFE  = 180°( sum of angles in a triangle)

(x - 18)° + (x-18)° + 66 = 180

2x -36 + 66 = 180°

2x + 30 = 150

2x = 180 - 30

2x = 150°

x = 150/2 = 75°

In conclusion, the value of x in the diagram is 75°

Learn more about isosceles triangle : brainly.com/question/1475130

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Find the length of z. Round your answer to the nearest tenth.

Answers

The length of z= we don’t know

What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26,. –6 –4 4 6.

Answers

Answer:

The common difference is the difference between any two consecutive terms in an arithmetic sequence.

The formula which is used to find the common difference in AP is

d = an - an-1

Here the common difference is

d = a2 - a1 = 8 - 2 = 6

d = a3 - a2 = 14 - 8 = 6

d = a4 - a3 = 20 - 14 = 6

d = a5 - a4 = 26 - 20 = 6

2, 8, 14, 20, 26 … = 2, (2 + 6), (8 + 6), (14 + 6), (20+ 6) …

Therefore, the common difference is 6.

Step-by-step explanation:

Find f(4) given f(x) = 2x^2 - 7

Answers

Answer:

f(4) = 25

Step-by-step explanation:

substitute x = 4 into f(x)

f(4) = 2(4)² - 7 = 2(16) - 7 = 32 - 7 = 25

The _____ is the price of an item that is being offered at a lower price than usual.

Answers

Answer:

sale price

Step-by-step explanation:

price of an item that is being offered at a lower price than usual

Find the value of x in the given figure​

Answers

[tex]~~~~~~(2x+34)+(x+71) = 180\\\\\implies 3x + 105=180\\\\\implies 3x = 180-105\\\\\implies 3x = 75\\\\\implies x = \dfrac{75}3\\\\\implies x = 25[/tex]

What is the midpoint of AB?

Answers

Answer:

[tex](-4, -\frac{1}{2} )[/tex]

Step-by-step explanation:

A (-5, -4)

B (-3, 3)

We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]

[tex]= (-4, -\frac{1}{2} )[/tex]

hope this helped! :)

Beg someone helps me w this question

Answers

Answer:

[tex](x+1)^{2} +4[/tex]

a = 1

b = 4

Step-by-step explanation:

hope this helps!! p.s. i really need brainliest :)

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