Does the given matrix, A, have an inverse? If it does, what is A-1?
5
12
A
=
2
5

Does The Given Matrix, A, Have An Inverse? If It Does, What Is A-1?512A=25

Answers

Answer 1

The inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Inverse of a matrix

For a 2 by 2 matrix, the inverse is generally expressed as:

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

Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.

Determine the determinant

|A| = 5(5) - 2(12)

|A| = 25 - 24

|A| = 1

Substitute the values into the formula above

[tex]\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Hence the inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Learn more on inverse of a matrix here: https://brainly.com/question/27924478

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Related Questions

Write the equation in Point-Slope Form given the Slope is 5 and passes through the Point (-2, 10).

Answers

Answer:

y-10=5(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-10=5(x-(-2))

y-10=5(x+2)

Answer:

          y - 10 = 5(x + 2)

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = 5

x₁ = -2

y₁ = 10

Therefore the equation:

                                 y - 10 = 5(x + 2)

Solve. (x-4)²=5
PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

(x-4)^2=5

(x-4)(x-4)=5

x(x-4)-4(x-4)=5

distribute

x^2-4x-4x+16=5

combine like terms

x^2-8x+16=5

move terms to the left and combine

x^2-8x+11=0

use the quadratic formula and simplify

x=-(-8)+/-2 to the square roots of 5 over 2

separate and solve

x=4+ square root of 5

x=4- square root of 5

ANSWER: x=4+/- square root of 5

Solve

2/3 feet = _____ inches

Answers

Answer:

8 Inches

Step-by-step explanation:

multiply the length value by 4

20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.

Answers

Answer:

[tex] \frac{8\pi}{5}[/tex]

Step-by-step explanation:

Since this is a degree we going to use the arc length formula

[tex]2\pi \times( r)( \frac{x}{360)} [/tex]

where x is the central angle measure and r is the radius.

The radius is 6 and the central angle is 48 so let plug that in the formula

[tex]2\pi \times (6)( \frac{48}{360} )[/tex]

Multiply 2 pi by 6

[tex]12\pi \times ( \frac{48}{360} )[/tex]

[tex]12\pi \times \frac{4}{30} [/tex]

[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]

[tex] \frac{8\pi}{5} [/tex]

How do you write 133/50 as a percentage?

Answers

Answer:

266%

Step-by-step explanation:

133/50 =

2 33/50 =

266 %

Hope that helps!

Answer:

lol 266%

Step-by-step explanation:

hope this helps!

Mr. Hamstra’s car holds 14/25 gallons of gas and averages 20 miles per gallon. About how far can Mr. Hamstra travel when his tank is 14 full?

Answers

to find the answer we first have to find the ratio... for each gallon, the car goes 20 miles:
1:20
now we just have to find how far the car will go for 14 gallons. the ratio would be:
14:x
the ratio is 14 times larger than the original. to find the answer simply multiply 14 by 20:
14:280

the answer is 280 miles

I WILL GIBE BRAINLEST


Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table. Red Pencils Green Pencils 2 6 4 12 6 18 8 24

Answers

Answer:

2:6

Step-by-step explanation:

I honestly don't know at all if this is correct or if I even get the question but what I did to get 2:6 was- for the reds which was 2, 4, 6, 8 it was +2 and for green which was 6, 12, 12, 24 was +6 which in the end gave me 2:6

Solve for y: y+6=5(x-4)

Answers

Answer:

Step-by-step explanation:

y+ 6= 5(x-4)

y + 6= 5x-20

   -6 .      -6

 ----------------

y= 5x-26

What is the value of the expression 9+n/3-6 when n is 12?

Answers

-7 (9+12/3-6)=21/-3=-7

Answer:

7

9+12/3-6

12/3=4

9+4-6

9+4=13

13-6=(7)

Step-by-step explanation:

A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?

Answers

Answer:

100%

Step-by-step explanation:

Let  p = percent of cashews in first mix

2p = lb. of cashews in first mix

30(.20) =  6 = lb. of cashews in second mix

32(.25) =  8 = lb. of cashews in the combined mix

So,

lb. of cashews in first mix +  lb. of cashews in second mix = lb. of cashews in the combined mix

2p + 6 = 8

2p = 2

p = 1 = 100%

Answer:

100%

Step-by-step explanation:

I solved it and it was correct lol

How many solutions does the equation 3(x + 2) - 10 = 4x - 6+ xhave? A infinitely many solutions B two solutions one solution D no solution​

Answers

Answer:

Step-by-step explanation:

3(x+2) -10 = 4x + 6 +x

3x +6 -10 = 5x+6

-10 = 2x

x = -5

One solution

NEED HELP WHAT IS THE SLOPE!!​

Answers

Answer:2/3

Step-by-step explanation:

Slope is 2/3

2/3 is the slope as slope can also be referred as gradient.

Gaste el 60% de lo que no gasté: del resto perdí el 40% de lo que no perdí. De lo que me quedaba no ahorré 50% más de lo que ahorré. Si lo que ahorré es de S/. 70: ¿Cuánto tenia al principio?

Answers

Lil uzi vert lil uzi vert maybach maybach

5 5
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.​

Answers

Step-by-step explanation:

Suppose the cost of each t-shirt is x

and the cost of each hat is y

according to question

[tex]\Rightarrow 2x+3y=12\quad \ldots(i)\\\Rightarrow 5x+4y=23\quad \ldots(ii)\\\text{solving (i) and (ii) we get}[/tex]

[tex]x=3\ \text{and}\ y=2[/tex]

So, the cost of a t-shirt is £3

the cost of a hat is £2

What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.

Answers

Correct method to factor this expression are:

Factor by grouping.

Factor out the GCF.

What is factorization?

A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.

The equation becomes:

= 4x² - 26x + 30

= 2 (2x² - 13x + 15)

= 2 (2x² - 10x - 3x + 15)

= 2 {2x (x - 5) - 3 (x - 5)}

= 2 (2x - 3) (x - 5)

Thus, the two methods are the best choices to factor this express are:

Factor by grouping.

Factor out the GCF.

To know more about factor refer to:

https://brainly.com/question/25829061

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y=x+5
4x+y=20
show work

Answers

Answer:

(3,8)

Step-by-step explanation:

Step-by-step explanation:

put value of y in equation 2

4x + (x + 5) =20

open the brackets

5x + 5 = 20

5x = 20 - 5

5x = 15

x = 15/3

x = 5

putting value of x in y we get

y = 10

GOOD LUCK FOR THE FUTURE! :)

in parallelogram ABCD, AB= x, BC= x+y, CD= y-x and AD= 15. solve for x and y

Answers

Answer:

I think 29

I don't know if it's right

plsssss help its easy!!!!!
(one question)

wrong answer for points=banned

Answers

Answer:

First that's a  quiz. Lol

Step-by-step explanation:

It is the 2'nd answer.

Your Welcome.

okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.​

Answers

Answer:

A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.

Step-by-step explanation:

equation of circle is

(X-center_X)^2 + (y-center_Y)^2 = r^2

==> (x+3)^2 + (y-2)^2 = r^2

Now it passes 1,5 so

4^2+3^2 = 5^2

==> r = 5

when x = -7

y = -1 or 5

PLS HELP AND FAST!!! also it needs to be simplified!!

Answers

Answer:

I think it's B because the bigger numbers stay the same an u subtract the smaller numbers

A and C
(4^-3)/(4^-1)=4^3/41

Which of the following best represents the dependent quantities in the graph below?

A. 2, 20, 4, 40
B. 2, 4, 6, 8
C. 20, 40, 60, 80
D. 10, 20, 30, 40, 50

Answers

Answer:

C

Step-by-step explanation:

Dependent quantity = y-value

Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7

Answers

Answer:

Step-by-step explanation:

57.6

Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni’s sales totaled $2080.

Which system of equations below will determine then number of adult tickets, a, and the number of student tickets, s, that Joni sold?

Answers

Answer:

(4s+7a) 376=2080

Step-by-step explanation:

(4s+7a) 376=2080

2080, I got this answer by (4s + 7a)376 and my answer came out to be 2,080

Solve problem using substitution
a = 3b + 1
5b - 2a = 1

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a=−13, b=−5
Hope this helps you !!!

Use trigonometry to work out the size of angle x. Hypotenuse= 10cm, Adjacent= 9cm

Answers

9514 1404 393

Answer:

  25.8°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig relations in a right triangle.

  Cos = Adjacent/Hypotenuse

  cos(x) = (9 cm)/(10 cm) = 0.9

Using the inverse cosine function, we can find the angle given its cosine.

  x = arccos(0.9) ≈ 25.8°

Angle x is about 25.8°.

In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.

Answers

Answer: J = 20.1

Step-by-step explanation:

sin J = hypotenuse/opposite = 11/32

Sin J =11/32

J=sin-1(11/32)

J= 20.1055

helppppp pleaseeeee im giving 15 for this ;^;

im in dire need for multiple questions. this is 2/5​

Answers

Answer:

C

Step-by-step explanation:

when it asks for the zeroes its asking for when the equation passes the x=0 and it passes x=0 at (0,-3) and (0,1) so the answer is c

hope this helps (:

i need help
38 = 15 + n ​

Answers

Answer:

n=23

Step-by-step explanation:

38=15+n

step 1 subtract each side by 15

23=n

n is equal to 23

hope this helps :)

Answer:

n=23

Step-by-step explanation:

38-15=23 you gotta subtract

What is .05866 as a fraction?

Answers

.05866 as a fraction is 2933 / 50000

Explanation: Convert to a mixed number by placing the numbers to the right of the decimal over 100000. Then reduce the fraction.

combine these radicals -12√12-2√3

-50√3
-22√3
-26√3
-10√12​

Answers

Answer:

[tex] - 26 \sqrt{3} [/tex]

I'm sure about the answer.

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