PLZZZ HELP Find the inverse of a 2x2 matrix


Plz give answer .

PLZZZ HELP Find The Inverse Of A 2x2 MatrixPlz Give Answer .

Answers

Answer 1

Answer:

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

Step-by-step explanation:

If a 2x2 matrix is given as:

[tex]\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right][/tex]

The inverse is:

[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]

Our matrix given is:

[tex]\left[\begin{array}{cc}-4&2\\-6&6\\\end{array}\right][/tex]

Using the formula, let's find the inverse:

[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\\=\frac{1}{(-4)(6)-(-6)(2)}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\frac{1}{-12}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]


Related Questions

A cleaning crew can clean 5 offices in 6 hours. How many offices can they clran in 12 hours

Answers

5 in 6

10 in 12

in 12 hrs they can clean 10 offices.

Answer:

5 in 6

10 in 12

in 12 hrs they can clean 10 offices.

pls make this the brainliest

hope this helps

Match The Graph With The Correct Equation.

Answers

Answer:

y=-x-2

Step-by-step explanation:

Hello

according to the graph you can take two points of the line, let p1 and p2

p1(-2,0) ,  p2(0,-2)

with those points we can find the slope

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{-2-0}{0-(-2)} \\m=\frac{-2}{2} \\m=-1[/tex]

now we use the slope point -equation, with p1(-2,0)

[tex]y-y_{0} =m (x-x_{0})\\[/tex]

[tex]y-0=-1(x-(-2))\\y=-x-2[/tex]

the function of the graph is y =-x-2

Have a great day.

Polygon abc is dilated, rotated and translated to form polygon a’b’c’d. The endpoint of ab at (0,-7) and (8,8), and the endpoint of ab are (6,-6) and (

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What’s the answer

what is 3/4 x 1/2=?

Answers

Answer:

3/8

Step-by-step explanation:

[tex]\dfrac{3}{4}\times\dfrac{1}{2}=\dfrac{3\times1}{4\times2}=\dfrac{3}{8}[/tex]

Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies.
How many chocolate chips were in each pan of brownies?
Write your answer as an expression.

Answers

Answer:

Each pan of brownies had [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips

Explanation:

Savannah originally had 400 chocolate chips

Now, she saved x chocolate chips for garnish

This means that the amount she originally had decreased by x

Savannah now has 400-x chocolate chips to use for brownies

She divided this amount evenly into three pans. This means that the amount in each pan will be equal to the amount she has now divided by 3

This means that:

Each pan got [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips

Hope this helps :)

23.791 to nearest hundredth

Answers

Answer:

23.79

Step-by-step explanation:

since 1 is less than 4 it turns into zero

Jordan has 5.48 mL of liquid in one test tube and 9.63 mL in another. Luke's test tube has 17.24 mL of liquid.

Round each number to the nearest tenth.

How much more liquid is in Luke's test tube than the liquid in Jordan's two test tubes combined?


A.about 2.1 mL


B.about 3.1 mL


C.about 2.2 mL


D.about 2.0 mL

Answers

5.48 to the nearest tenth is 5.5

9.63 is closest to 9.6

17.24 is closest to 17.2

So, 5.5+9.6= 15.1

17.2-15.1=2.1

A. about 2.1 mL

Answer:

a. about 2.1 :)

Step-by-step explanation:

What is sin 74° someone please help!!!!

Answers

Answer:

24/25

Step-by-step explanation:

because of sinФ you use the opposite/hypotenuse to get 24/25

The value of sin 74° in the given question is 24 / 25.

What is the sine angle?

The sine of an angle in a right angled triangle is the ratio of side opposite to the angle and the hypotenuse of the triangle.

In the given question:

Side opposite to 74° angle = 24

Hypotenuse of the triangle = 25

sin(74) = Perpendicular / Hypotenuse

sin(74) = 24 / 25

Hence, the value of sin74 is 24/25.

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which set of ordered pairs ia a function



Answers

For something to be a function, an input (x value) can only have ONE output (y value)

For example:

(2 ,4)

(2, 5)     This is not a function because the input has multiple outputs.

So your answer is the 1st option

The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?

a. 11/2 cubic in
b. 40 cubic in.
c. 5 cubic in.
d. 20 cubic in

Answers

Answer:

the answer is C.  5 cubic in

Step-by-step explanation:

V = LWH

length is 2 (1/2 in)

width is 5 (1/2 in)

height is 4 (1/2 in)

V = (2/2) (5/2) (2)

V = 1 * 5/2 * 2

V = 5 cubic in

The volume of the rectangular prism will be 5 cubic inches. Then the correct option is C.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The prism below is made of cubes that measure 1/2 of an inch on one side.

The dimension will be

L = 2 x 1/2 = 1 inch

W = 5 x 1/2 = 2.5 inches

H = 4 x 1/2 = 2 inches

Then the volume of the rectangular prism will be

V = 1 x 2.5 x 2

V = 5 cubic inches

Then the correct option is C.

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If 5 potatoes together have a mass of 1 kilometer and 8 pears together have a mass of 1,200 grams, which has the greater mass a potato or a pear? Explain.

Answers

____________________________________________________

Answer:

The Potato has a greater mass.

____________________________________________________

Step-by-step explanation:

In order to see which one of them has the greater mass, we're going to need to figure out how much one of them weigh.

Lets get the key information from the question:

5 potatoes = 1 kilograms (kg)

8 pears = 1,200 grams (g)

With the information above, we can solve the problem.

1 Kilogram = 1000 grams

With that information, we know that 5 potatoes would equal 1000 grams, now we would need to divide 1000 by 5 to get the grams for one potato in order to find the mass of it.

[tex]1000 \div 5=200[/tex]

1 Potato = 200 grams

Now, we would need to divide 1,200 by 8 to find the mass of 1 pear.

[tex]1200 \div 8=150[/tex]

1 Pear = 150 grams

With the information we have now, we would know that the Potato has the greater mass than the pear.

A potato has a greater mass.

____________________________________________________

What is the perimeter of square ABCD?

Answers

Answer:

do you have a picture to help me answer the problem?

Step-by-step explanation:

Answer:

B On Egen, 4 root 37

Step-by-step explanation:

Which of the following are solutions to the inequality n>-7

Answers

Answer:

What following? There are no options


2. Solve the following system by any method.
8x + 9y = –5
–8x – 9y = 5

Answers

ANSWER

Infinitely many solutions.

EXPLANATION

The given system t;

8x + 9y = –5

–8x – 9y = 5

We use the elimination method:

Let us add the two equations to obtain:

-8x+8x+9y-9y=-5+5

This simplifies to:

0=0

This implies that, the system has infinitely many solutions because the two lines coincide.

please help!!!!!!!!!!!!!

Answers

the square root of 121, because when rationalized its 11.

square root 121

150 square root is 12.247....

98 square root is 9.899....

164 square root is 12.806....

when 121 is square root it’s 11 so square root 121 is the answer

I need to explain and answer questions #3 #4 and #5 i will give brainliest!

Answers

Send a picture so I can get the problem

Suppose you buy a CD for $11.95. There is a 20% discount, and you pay a 7% sales tax after the discount. Find the cost of the CD.

Answers

You can use proportions to find the answer.

20/100=?/11.95

20*11.95=239

239/100=2.39

So the discount takes $2.39 off of the original price.

11.95-2.39=9.56

7/100=?/9.56

7*9.56=66.92

66.93/100=0.6692

Round to nearest tenth: 0.67

9.56+0.67=10.23

The final cost of the CD is $10.23

10.35 good luck man

What is the value of the determinant?
|1 7|
|0 -3|

Answers

Answer:

-3

Step-by-step explanation:

Answer:

- 3

Step-by-step explanation:

Given the 2 x 2 matrix [tex]\left[\begin{array}{ccc}ab\\cd\\\end{array}\right][/tex]

Then the determinant = ad - bc

Hence for [tex]\left[\begin{array}{ccc}1&7\\0&-3\\\end{array}\right][/tex]

determinant = (1 × - 3) - (7 × 0) = - 3 - 0 = - 3

If the scale factor of a dilation is less than one and greater than zero, what happens to the resulting image?
A. The resulting image will be a translation of the original image.
B. The resulting image will be a rotation of the original image.
C. The resulting image will be a reduction of the original image.
D. The resulting image will be an enlargement of the original image.

Answers

Dilation means every coordinate of the given original image will be multiplied by the given scale factor.

If the scale factor of a dilation is less than one and greater than zero.

The resulting image will be an enlargement of the original image.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given new object and an original object,

We have,

The scale factor of a dilation is less than one and greater than zero,

This means,

The scale factor = x

0 < x < 1

We can have,

x = 0.5, 0.6, 0.7

Dilation means every coordinate of the given original image will be multiplied by the given scale factor.

This means,

The image will be an enlargement of the original image.

Thus,

If the scale factor of a dilation is less than one and greater than zero.

The resulting image will be an enlargement of the original image.

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The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of years.

Answers

Answer:

i) y = 25x + 500

ii) y = 30x + 400

iii) The washing machines would cost the same amount after 20 years of use

iv) Standard machine

Step-by-step explanation:

i)

We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

The first step step is to determine the slope of the line,

( change in y) / ( change in x ) = (550 - 525) / ( 2 - 1) = 25

The equation is slope-intercept form will be;

y = 25x + c

Where y is the cost of the High-Efficiency washing machine and x the number of years. To determine the y-intercept, c, we use any pair of points given in the data table;

when x = 1, y = 525

525 = 25(1) + c

c = 500

Therefore;

y = 25x + 500

ii)

The straight line equation that models the cost of Standard washing machine over the years;

Slope = (460 - 430) / (2 - 1) = 30

The equation is slope-intercept form will be;

y = 30x + c

when x = 1, y = 430

430 = 30(1) + c

c = 400

Therefore;

y = 30x + 400

Where y is the cost of the standard washing machine and x the number of years.

iii)

Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

We have the cost functions;

y = 25x + 500

y = 30x + 400

Equating the two and solving for x;

25x + 500 = 30x + 400

500 - 400 = 30x - 25x

100 = 5x

x = 20

Therefore, the washing machines would cost the same amount after 20 years of use.

iv)

In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)

The cost function of the High-Efficiency washing machine is;

y = 25x + 500

To determine the cost, we solve for y given x = 9

y = 25(9) + 500

y = 725

The cost function of the Standard washing machine is;

y = 30x + 400

We solve for y given x = 9

y = 30(9) + 400

y = 670

Comparing the two values obtained, the cost for the Standard washing machine is more practical.

1) y=25x+500

2) y=30x+400

3) 20

4) standard machine

to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and 8 hrs on thursday if the variable t stands for the number of hrs over the rest of the week susan will have to work to meet her goal her goal which of the following choices is the most reasonable value for t A. 20hrs B. 8hrs C. 50hrs D. 35hrs​

Answers

The answer is D, 35 hours. 8+5=15. And then 35 + 15 is 50!

Find the midpoint of the segment from point a (6,3) to point B (8,1)

Answers

Answer: [tex]M=(7,2)[/tex]

Step-by-step explanation:

You need to use the following formula:

 [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]

Given the points A(6,3) and B(8,1), you can identify that:

[tex]x_A=6\\x_B=8\\y_A=3\\y_B=1[/tex]

Now, you can substitute these values into the formula [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex].

Therefore, you get this result:

[tex]M=(\frac{6+8}{2},\frac{3+1}{2})[/tex]

[tex]M=(7,2)[/tex]

ANSWER

The midpoint is (7,2)

EXPLANATION

The midpoint is calculated using the formula:

[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

The x-coordinate of the midpoint is given by

[tex]x = \frac{6 + 8}{2} [/tex]

[tex]x = \frac{14}{2} = 7[/tex]

The y-coordinate of the midpoint is given by:

[tex]y = \frac{3 + 1}{2} [/tex]

[tex]y = \frac{4}{2} = 2[/tex]

The midpoint is (7,2)

1 and 2 pleaseeeee!!!!

Answers

Answer:

1. There would only be a line that passes through 4 from left to right indicating the y value always being y.

2. For every time x increase by 3 the y value would increase by 1. Ex: (1,1/3),(2,2/3), (3,1)

Step-by-step explanation:

The measure of the angles of triangle ABC are given by the expressions in the table.
A) 48°
B) (6x-28)°
C) (2x)° find the value of x. then find the measures of angles B and C.

enter your answers in the boxes.

x=__

m>B=__°

m>C=__°

Answers

Answer:

x = 20

B = 92

C = 40

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

A+B+C = 180

48+6x-28+2x = 180

Combine like terms

20+8x =180

Subtract 20 from each side

20+8x-20 = 180-20

8x = 160

Divide each side by 8

8x/8 = 160/8

x = 20

Then we need to find angle B

B = 6x-28 = 6(20)-28 = 120-28 =92

Then we need to find angle C

C = 2x = 2(20) = 40

Answer:

x=20

m>B=92

m>C=40

Step-by-step explanation:

the angles in a triangle add up to 180

48+6x-28+2x=180

6x+2x-28=132

6x+2x=160

8x=160

x=20

6(20)-28

120-28=92

2(20)=40

the diagonal of a rectagle is 25 in the width is 15 what is the length​

Answers

Answer:

20 in

Step-by-step explanation:

Remark

This is a Pythagorean Theorem question.

Givens

a = 15 in

b = ??

c = 25 in

Formula

a^2 + b^2 = c^2

Solution

15^2 + b^2 = 25^2

225 + b^2 = 625                 Subtract 225 from both sides

225-225+b^2 = 625-225   Combine

b^2 = 400                            Take the square root of both sides

sqrt(b^2) = sqrt(400)

b = 20

The length is 20 in

Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches. The area of each parallelogram is square inches. The area of the carpet is square inches. HELP BRAINLIEST

Answers

The area of each parallelogram is 240 square inches, and the area of the carpet is 2,160 square inches.

The area of each parallelogram

The dimension of the parallelograms is given as:

Base = 12 inches

Height = 20 inches

The area of the parallelograms is calculated as:

Area = Base * Height

So, we have:

Area = 12 * 20

Area = 240 square inches

The area of the carpet

The area of each parallelogram is calculated as:

Area = 240 square inches

The number of parallelograms is given as:

n = 9

So, the area of the carpet is:

Carpet = 9 * 240 square inches

Evaluate

Carpet = 2160 square inches

Hence, the area of the carpet is 2160 square inches

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Final answer:

To find the total area of Patty's carpet, multiply the area of one parallelogram (base 12 inches, height 20 inches) by the number of parallelograms (9), resulting in a total area of 2160 square inches.

Explanation:

To calculate the area of a parallelogram, the formula is base times height. In the given question, each parallelogram has a base of 12 inches and a height of 20 inches.

So, the area of one parallelogram is:

Area = Base × Height = 12 inches × 20 inches = 240 square inches.

Since Patty's carpet is made up of 9 parallelograms, we multiply the area of one parallelogram by 9 to find the total area of the carpet:

Total area = 240 square inches × 9 = 2160 square inches.

Therefore, the total area of the carpet is 2160 square inches.

Which best describes how empirical probability is determined?

Answers

Which best describes how empirical probability is determined?

A. By deciding which events are unpredictable

B. By personal experimentation and testing

C. By deciding which events are random

D. By considering all possible outcomes

Answer: B. By personal experimentation and testing

The complete question is as follows:-

Which best describes how empirical probability is determined?

A. By deciding which events are unpredictable

B. By personal experimentation and testing

C. By deciding which events are random

D. By considering all possible outcomes

The correct answer is option B which is By personal experimentation and testing.

What is empirical probability?

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

From the given option the best statement which determines the experimental probability is to determine the probability by personal experimentation and testing.

Therefore the correct answer is option B which is By personal experimentation and testing.

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Is the answer Quadratic.

Answers

Answer:

It is a quadratic equation because the equation is a quadratic polynomial set equal to zero. The polynomial is quadratic because the term with highest degree, the x^2 term, has degree 2.

5.7e+ 11.8= 1.3e + 29.4 solve as equations

Answers

Answer:

e=4

Step-by-step explanation:

5.7e + 11.8 = 1.3e + 29.4

-1.3e -1.3e

4.4e + 11.8 = 29.4

-11.8 -11.8

4.4e/4.4 = 17.6/4.4

e = 0.25

Or

e = 4

what is 0.00025 in scientific notation​

Answers

Answer:

It would be written as: 2.5 x 10^-4.

explanation:

This is because you must have one number in front of the decimal point in scientific notation and to do that you must move it back four spaces. I hope that helps!

Answer:

= 2.5 × 10-4

Step-by-step explanation:

That's all there is to know right???

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