find the determinant of the following matrix. [2 3] [1. 4]​

Find The Determinant Of The Following Matrix. [2 3] [1. 4]

Answers

Answer 1

The determinant of a 2x2 matrix is defined as

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

So, in your case, the determinant is

[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]

Answer 2
The determinant of the matrix will be "5".

Given matrix is:

[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]

As we know that,

→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]

then,

The determinant will be:

= [tex]2\times 4-1\times 3[/tex]

= [tex]8-3[/tex]

= [tex]5[/tex]

Thus the above response is correct.

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Related Questions

PLZ CHECK, DON'T SPAM PLZ
its attached below

Answers

Answer:

correct answer given

Answer:

C

Step-by-step explanation:

The constant term in a polynomial expression is the numeric term with no variable attached to it.

In this case the constant is + 1 → C

find the hcf of the following numbers
22,18​

Answers

Answer:

the required hcf is 2

okay

PLEASE HELP! I HAVE A TIME LIMIT AND IM BEHIND
When a transversal intersects a
pair of parallel lines it will create
two pairs of alternate exterior
angles.
Ricky claims the angles within
each pair are congruent to each
other, but not congruent to
either angle in the other pair.

Answers

Answer:

Part A none

Part B drawn

Step-by-step explanation:

Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.

Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.

But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.

Similarly angles 3 and4 are supplementary angles.

This situation does not support Ricky's claim. So you will select none in part A.

Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.

This refutes Ricky's claims and this can be proved mathematically.

Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.

The part A none and for part B drawn.

Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.

Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.

What is the meaning of the supplementary angle?

Two angles are called supplementary when their measures add up to 180 degrees.

But <1 and < 2 are not equal because they are supplementary angles. and the sum is equal to 180 degrees.

Similarly angles 3 and 4 are supplementary angles.

This situation is not support Ricky's claim so select none in part A.

Now for  part B we see that angle 5 &8 are equal and 6 & 7 are congruent.

This refutes Ricky's claims and this can be proved mathematically.

Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary

Therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.

Therefore for the part A none and for part B drawn.

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What’s 2/3 divided by 5

Answers

Answer:

10/3

3.3reaping

3 1/3

Step-by-step explanation:

Nevaeh is decorating the Christmas tree. She has 85 red bulbs, 76 green bulbs, 49 yellow bulbs, and 52 blue bulbs.

A. Does she have more red and blue bulbs or green and yellow bulbs?

B. How many light bulbs does she have in all?

Answers

Answer:

A) Red and Blue Bulbs

B) 262 lightbulbs.

Step-by-step explanation:

A) red and blue = 85+52=137

Yellow and green = 76+49=125

Answer to A is Red and Blue bulbs

Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.

Hope this helps plz hit the crown :D

solve for x please!!​

Answers

Answer:

x would be = to 13

Step-by-step explanation:

Which is equivalent to
2 1/4

Answers

Answer:

9/4 or 2 2/8

Step-by-step explanation:

Answer:

you did not put the options but here are some

9/4 = the improper fraction

2 2/8

2.25

if u want other ones lemme know, cuz i dont know the options they gave u, if there are any options.

Have a nice day!

Select all expressions that are equivalent to 6x+1−1(3x−1) . a. 6x+1−3x−1a. 6 x plus 1 minus 3 x minus 1 b. 6x+(−3x)+1+1b. 6 x plus open paren negative 3 x close paren plus 1 plus 1 c. 3x+2c. 3 x plus 2 d. 6x−3x+1−1d. 6 x minus 3 x plus 1 minus 1 e. 6x+1+(−3x)−(−1)

Answers

Answer:

c. 3x + 2( 3 x plus 2 )

d. 6x − 3x+ 1 −1(6 x minus 3 x plus 1 minus 1)

Step-by-step explanation:

We are given the expression:

6x+1−1(3x−1) .

Solving this expression:

6x + 1 - 3x +1

Collect like terms

6x - 3x +1 +1

3x + 2

Hence, the expression that are equivalent to 3x + 2 are:

c. 3x+2( 3 x plus 2 )

d. 6x−3x+1−1(6 x minus 3 x plus 1 minus 1)

x/18 = (2/3)^log base x of 12

Answers

Answer:

wait what is that what the question ask you to do

Which value of w is the solution to the question? 2w-5=w+10

Answers

Answer:

w = 15

Step-by-step explanation:

2w - w = 10+5

w = 15

simple!

(IM GIVING 15 POINTS )A water cooler holds 15 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters)

3 gallons
4 gallons
11 gallons
18 gallons

Answers

Answer:

4 gallons

Step-by-step explanation:

divide 15 by 3.785

Answer:

4 gallons

Step-by-step explanation:

15 divided by 3.785 liters)

Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?

Answers

Answer:

$189

Step-by-step explanation:

We can create a system of equations to solve this equation. They are as follows:

[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]

In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.

We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.

[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]

Now that we have A by itself we can plug it into the second equation.

[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]

We have found Y now lets plug it back into the first equation to find the value of A.

[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]

Let's check our variables by plugging them both in to the second equation.

[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]

Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:

[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]

Therefore, 2 adult tickets and 5 kid tickets would cost $189.

Hope this helps!!

- Kay :)

If you have any questions feel free to ask!

write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)
an equation is: a(n) = _n-_
a(50)= _

Answers

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

[tex]a_{n}[/tex] = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

Josh kept 75% of the ride tickets he bought at a carnival and gave the rest to his friend Sam. Sam gave 50% of these tickets to Rob. If Rob was given 3 tickets, how many tickets did Josh buy?​

Answers

Josh bought 24 tickets and kept 75% or 18 tickets; he gave the rest to Sam which is 6 and Sam gave rob 3 tickets

PLEASEEEE HELPPP !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

If HF = 6 units, then BF = 12 units.

Step-by-step explanation:

In ΔBCD, H is the centroid.

Given

HF = 6

We know that the centroid is the point of intersection of the medians of a triangle.

Centroid divides a median in a 2:1 ratio.

In other words, the location of the centroid lies at 2/3 of the distance from the vertex along the segment BF that connects the vertex to the midpoint of the opposite side.

so

HF = 1/2 BF

substituting HF = 6

6 = 1/2BF

BF = 12 units

Therefore, if HF = 6 units, then BF = 12 units.

Answer:

HF = 6 units and BF = 12 units

Step-by-step explanation:

Hope this helps!

She is so lazy and so am i

Answers

Answer:

Step-by-step explanation:

1). 624 ÷ 2 = 312

2). 1823 ÷ 4 = 455.75

3). 503 ÷ 3 = 167.666 ≈ 167.67

4). 443 ÷ 3 = 147.666 ≈ 147.67

5). 4268 ÷ 2 = 2134

6) 6430 ÷ 4 = 1607.5

Will be mark brainless please answer correctly

Select the correct answer.
Consider functions hand k.

A. 1
B. -3
C. 2
D. 4

Answers

I believe the answer is B. -3.

How much would a 20% tip be

Answers

Answer: 1.18 OR 0.18

Step-by-step explanation:

Answer:

It would depend of what your bill is.

Step-by-step explanation:

Here is how to find the tip of a bill.

Move the decimal, then double the number.

Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.

Round up to the next easy number: $5.40.

Double that number to get $10.80, which is 20% of your original bill.

Daniela has 214 basketball games left to play in a tournament, and she has 34 gallon of water left to drink. If she drinks the same amount of water each game, how much water can she drink each game?

Answers

Answer:3 gallons 0f water

Step-by-step explanation:

help someone please i’ll give brainliest

Answers

what is the question? i can help i just need a question

we can find the tax rate on the $78 item that cost $82.68 after tax by using the equation

Answers

Answer:

There is no question, can you type it?

Step-by-step explanation:

Please answer am really failing my math and i need this answer asap​

Answers

Answer:

[tex]9) \: y = - 1x - 6[/tex]

[tex]10) \: y = \frac{1}{6}x + 4[/tex]

A passenger in an airplane looks out the window and spots the airport in the distance. The angle of depression to the airport is 63°, and the airplane is flying at 18,000 feet. What is the horizontal distance to the airport?

Answers

9514 1404 393

Answer:

  about 9171 feet

Step-by-step explanation:

It can help to draw a diagram.

The relation between angle, opposite side, and adjacent side in a right triangle is ...

  Tan = Opposite/Adjacent

  tan(63°) = (18000 ft)/(horizontal distance)

  horizontal distance = (18000 ft)/tan(63°) ≈ 9171 ft

The horizontal distance to the airport is about 9171 feet.

What are exercises to strengthen the upper body?

Answers

Answer:

Banded Lat Stretch. The range of motion in the shoulders is directly connected to how well the muscles of the upper back allow them to move.

Banded Pull Aparts.

Banded Pass Through.

Pull Ups

Push Ups

Step-by-step explanation:

Some exercises to strengthen the upper body include:

1. Chest Press.

2. Bench Dip.

3. Bicep Curl.

4. Pull Ups.

5. Push Ups.

6. Arm Raise

**DUE SOON PLEASE PLEASE HELP!!!**

A 20-ounce box is filled with cans. Each can weighs 16 ounces. The total weight of the box with
cans is 212 ounces. Which equation can be used to find c, the number of cans in the box?
A. 16C + 20 = 212
C. 16(c + 16) = 212
B. 20c + 16 = 212
D. 20(c + 16) = 212

Answers

Letter d is the correct answer

Expand and simplify
(5x+2)(2x-3)

Answers

Step-by-step explanation:

(5x + 2)(2x –3)

5x² – 15x + 4x – 6

5x² – 11x –6

During a five-year period 24% of snowstorms in a certain city caused power outages. 57 of the snow storms did not cause power outages how many snow storms were in the city in the five-year period

Answers

Answer:

divide it and do multiply and add it and subtract it

The number of snow storms were in the city in the five-year period is 75.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, during a five-year period 24% of snowstorms in a certain city caused power outages.

Let the number of snow storms were in the city in the five-year period be s.

57 of the snow storms did not cause power outages.

So, the equation is

s -24% of s =57

s-0.24s=57

0.76s=57

s=57/0.76

s=75

Therefore, the number of snow storms were in the city in the five-year period is 75.

To learn more about an equation visit:

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#SPJ5

5•11+5•(-4)=5(11-4) wich property?​

Answers

Answer:

Step-by-step explanation:

55

Selec*t the shape bel*ow that has exactl*y two lines of symmetry as well as 180 rotation symmetry.
-None of these
-Parallelogram
-Rectangle
-Square
-Regular Hexagon

Answers

2 and 3 are the correct ones

Which of these units would be best to measure the length of our classroom?

1. meters
2. centimeters
3. liters
4. kilometers
5. millimeters

Answers

Answer:

1. meters

Step-by-step explanation:

The smallest unit given in the choice is millimeters. Then comes the centimeters, then meters,  and the kilometers.

Liters is used to measure the volume of a liquid. For example we get 1 liters of milk but not 1 kilometers of milk.

The kilometers has a 1000 meters and

1m= 100 cm

1cm = 10mm

The kilometers is quite a large space and usually long distances such as length between 2 towns is measured in kilometers.

The area of the room or length is usually measured in feet but since feet is not given here.

1 feet = 0.3048 m

so the most suitable selection would be meters.

The millimeters is very small. 1 cm has 10 mm. A foot consists of 30.48 cm.

So meters is used.

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