Mathematics Middle School

HELP ASAP

Find the system determinant of the given matrix.

-30

-6

6

30

HELP ASAPFind The System Determinant Of The Given Matrix.-30-6630

Answers

Answer 1
The order of the given matrix is 2 x 2 as there are 2 rows and 2 columns.

The determinant of 2 x 2 matrix can be calculated as follows:

1) Multiply the main diagonal elements.
The main diagonal elements are 2 and -9. Multiplying them we get -18

2) Multiply the remaining two elements (Non diagonal elements)
The other two elements are 3 and 4. Multiplying them we get 12.

3) Subtract the product of non diagonal elements from the product of diagonal elements, this will give the determinant of the matrix.

So, determinant will be = -18 - 12 = -30

In one step, this can be done directly as:

Determinant = 2(-9) - 3(4) = - 30

So, option A gives the correct answer

Related Questions

A fabric store sells two types of ribbon. One customer buys 3 rolls of the satin ribbon and had a total of 120 yards of ribbon. Another customer buys 2 rolls of lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one rolls and one roll of satin ribbon?

Answers

Let [tex]x[/tex] be the yards in the satin ribbon roll and [tex]y[/tex] the yards in the lace ribbon roll.

Since 3 rolls of the satin ribbon are 120 yards, [tex]3x=120[/tex]. We can solve the equation to get the yards in one satin ribbon roll like follows:
[tex]3x=120[/tex]
[tex]x= \frac{120}{3} [/tex]
[tex]x=40[/tex]

Now that we know the yards in one roll of satin ribbon, lets find the yards in the lace ribbon one:
Since  2 rolls of lace ribbon and 4 rolls of the satin ribbon are 160 yards, [tex]2x+4y=160[/tex]. But remember that we already know the value of [tex]x[/tex] is 40, so lets replace that in our equation and solve for [tex]y[/tex] to get the yards in one roll of lace ribbon:
[tex]2x+4y=160[/tex]
[tex]2(40)+4y=160[/tex]
[tex]80+4y=160[/tex]
[tex]4y=160-80[/tex]
[tex]4y=80[/tex]
[tex]y= \frac{80}{4} [/tex]
[tex]y=20[/tex]

We can conclude that there are 40 yards in the roll of satin ribbon, and 20 yards in the roll of lace ribbon.

Answer:

d.there are 20 yards on one roll of lace ribbon and 30 yards on a roll of satin

Step-by-step explanation:

How can you use the distributive property to find the product of 5 and 6723?

Answers

The DISTRIBUTIVE PROPERTY is when you distribute the number to certain numbers

7x+39≥53 AND 16x+15>31

Answers

Answer: x \> 2

Just look in the photo

1. Susan’s art class is 9 hours long. How long is her class in minutes?

2. Frank drinks 1 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number or a mixed number in simplest form.

3. A cook needs 4 cups of vegetable broth for a soup recipe. How much is this in pints.

4. Last month, a coral reef grew 9000 millimeters taller. How much did it grow in meters?

Answers

1. 9(60) = 540 minutes.

2. There is 0.5 pints = 1 cup, so three cups. :)

3. 4(2) = 8 pints.

4. 1,00 millimeters = 1 meter, so 9 meters. 
Hope it helps! :)

Susan's art class is 540 minutes long. Frank drinks 3 cups of milk a day. The cook needs 2 pints of vegetable broth for their recipe. The coral reef grew 9 meters taller.

To solve these measurement conversion problems, we'll work through each one step by step:

Susan's art class is 9 hours long. Since there are 60 minutes in an hour, her class is 9 hours × 60 minutes/hour = 540 minutes long.To convert Frank's milk consumption from pints to cups, we use the fact that 1 pint is equal to 2 cups. So, 1 ¹/₂ pints is the same as 1.5  × 2 cups, which equals 3 cups.When converting the 4 cups of vegetable broth to pints, we remember that 2 cups is equivalent to 1 pint. Therefore, 4 cups is equal to 2 pints.The coral reef grew by 9000 millimeters. To find this growth in meters, we use the conversion that 1000 millimeters is equal to 1 meter. Therefore, it grew by 9000 mm × (1 m / 1000 mm) = 9 meters.

Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.

Answers

Angle 3, 6, and 8 have the same measure as angle 1

Please help me!!!!!!!!!!!!!!!!

What is the constant of proportionality?
What would the equation look like?

Answers

this is an equation in the form of y = kx.  Where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

In this case 7 would be your constant of proportionality

This circle graph shows the results of a survey that asked people to identify their favorite type of music.

What percent of people chose rock or country as their favorite type of music?


9%

35%

45%

55%

Answers

according to the graph. 18% chose country and 27% chose rock. Because there is more than one option it increases probability. Plus, "or" can mean total so simply add 18% and 27%. 18 plus 27 equals 45.
C. 45
45% of people chose country or rock music
45% chose rock or country as their favorite type of music

 27%+ 18% =45%

What is the value of fraction 1 over 3x2 + 5.2y when x = 3 and y = 2?

Answers

A calculator can be helpful with arithmetic.

The value is 5/187 ≈ 0.0267379679

The variability at each feeder is 3.168. The difference between the median number of hummingbirds spotted per day at each feeder is approximately how many times the variability? a.4 b.5 c.2 d.2

Answers

The answer is 4 has to be

Answer:

no its 3

Step-by-step explanation:

Please help! The choices for the first box is right/left, right, or left. The choices for the second box is up/down, up, or down..

Answers

One unit to the right and three units up!
Hope this helps! :)
The answer is 1 unit to the left and 3 units down

unit price—- a long distance phone charge of $1.40 for 10 minutes, or $4.50 for 45 minutes —- show work^

Answers

Final answer:

To find the best long-distance phone charge, the unit prices for both options are calculated. The $1.40 charge for 10 minutes has a unit price of $0.14 per minute, while the $4.50 charge for 45 minutes is $0.10 per minute. Hence, the $4.50 option is better.

Explanation:

To determine the better long-distance phone charge, we can calculate the unit price for each option by dividing the total cost by the number of minutes.

For the $1.40 charge for 10 minutes:
Unit Price = Total Cost / Total Minutes
Unit Price = $1.40 / 10 minutes = $0.14 per minuteFor the $4.50 charge for 45 minutes:
Unit Price = Total Cost / Total Minutes
Unit Price = $4.50 / 45 minutes = $0.10 per minute

Comparing the two unit prices, the charge of $0.10 per minute for 45 minutes is the better option since the cost per minute is lower.

If a cube shaped box has a volume of 1331 cubic inches how tall is the box.

Answers

It is 0.5.97 as u know triangle equals to square so g5.0 is the equation for this and divide by square that is ur answer

Answer: Cube is 11 inches tall

Explanation:

Cube has all edges the same length . The volume of a cube is multiplying the length of any edge, height and width of the cube.

Volume of cube = length * width * height

We know that length = width = height = s

So, Volume of cube = s*s*s

= s³

In given question:

Volume of the cube = 1331 cu in.

s³ = 1331

take cube root both the side

s = ∛1331

s = ∛(11*11*11)

s = 11 inch

So, height of the cube = 11 inches

Please help with this roblem

Answers

SF = 7.5 / 3 = 2.5

answer
2.5
Corresponding sides have the ratio 7.5/3 = 2.5. That is your scale factor.

How do you do this simultaneous equation?

Answers

The y is the same for both equations. Equate them
-x - 5 = 2x + 4 Add x to both sides
- 5 = 3x + 4 Subtract 4 from both sides.
- 9 = 3x Divide by 3
x = -9 / 3
x = - 3

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

So that point is where the two equations meet.

To see the graph of your question on the internet, go to 
Wolframalpha.com 
and put this string in the question space.
y = -x - 5; y  = 2x + 4  Note the semi colon in the middle.

To the moderator: This is my own work. I'm using Wolfram to get the answer.

Big Reward! (Answer the right answer not just comment).


2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions

Answers

A: One solution- a=11 b=5
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8

Answer:

A. a = 0, b = 2

B. a = 10, b = 0

C. a = 10, b = -8

Step-by-step explanation:

2(5x-4)=ax+b

10x - 8 = ax + b

When a = 10, b = -8

This equation becomes true for all x. Hence infinite solutions.

When a = 10, b is not -8,

This equation has no solution.

One possible combination could be:

a = 10, b = 0

When a is not 10,

The two sides of the equation become two non parallel lines which will intersect at one point.

A combination could be:

a = 0, b = 2

A class voted for either rollerblading, swimming, or biking as their favorite summer activity. If rollerblading got 4% percent of the vote and biking got 34% what percentage of the class voted for swimming?

Answers

62% would be your answer you would add the 4% then subtract it from 100

One jug of plant food treats an area of 135 square ft. How many jugs Would be needed to treat an area of 165 square yards (try writing equation)

Answers

Final answer:

To treat an area of 165 square yards, you would need 11 jugs of plant food.

Explanation:

To find out how many jugs would be needed to treat an area of 165 square yards, we need to convert the area to square feet and then divide by the area treated by one jug of plant food.

1 square yard = 9 square feet, so 165 square yards = 165 × 9 = 1485 square feet.

Now, since one jug treats an area of 135 square feet, the number of jugs needed is 1485 ÷ 135 = 11 jugs.

Learn more about Calculating Quantity here:

https://brainly.com/question/32195961

#SPJ12

use the distributive property to rewrite 30d+18

Answers

Im assuming you just want to take out common multiples so,
30d+18 is also the same as 6(5d+3)

What is the correct way to classify a triangle with angles that measure 20 , 40 and 120

Answers

Scalene and obtuse triangle. If all sides are different, it is scalene. If one angle is obtuse, it is an obtuse angle. 

Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.

Answers

Refer to the diagram shown below.

The resultant speed of the boar is v, and its direction is θ degrees south of west.

Use the Pythagorean Theorem to calculate v.
v² = 14² + 2² = 200
v = √(200) = 14.1 mi/h

By definition,
tan θ = 2/14 = 0.1429
θ = tan⁻¹ 0.1429 = 8°

Answer: 14.1 mi/h; 8° south of west.


Graph the systems of equations:
2x+y=5
14x+7y=35
What is x?
What is y?
PLEASE I NEED HELP!

Answers

Answer:

The question is wrong if you're looking to find x and y as they would cancel themselves being factors of each other

Step-by-step explanation:

The lines are co-incident so all the points on the graph are equal but the graph would look like this

what is 81% as a fraction in its simplest form

Answers

“Per cent” means “for each 100,” so 81% means “81 for each 100,” which translates to 81/100 as a fraction. 81 and 100 are what are called *coprime*, which means they don’t share any factors, so we can’t reduce the fraction any more.
I believe 81/100 . Hoped it helped

Can anyone help me please?

Answers

5. C(t) = 10(1.029)^(24t) = 10(1.029^24)^t = 10(1.986)^t . . . . . matches (3)


6. a + c = 150 . . . . . . . . . . 150 tickets were sold
.. 10.25a +7.75c = 1470 . . revenue from sales was 1470; adult tickets were 10.25
matches (1)

how many decimal places are in the product of 185.9 and 0.35?? with diagram or work

Answers

The amount of decimal places for 185.9 is 1 and for 0.35 is 2

Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/12’s of a cantaloupe are there in 1/2 of a cantaloupe?

Answers

there are 6
Divide bottoms or denominators 
12 and 2
and you can get 6 
there are 6 halfs because you have to divide denominator

Find the numerator of the equivalent fraction with the denominator 12x - 2/3

Answers

the numerator should be 8x

Determine the circumference of a circle with a radius of 4 units.
16 units
8 units
32 units
4 units

Answers

Final answer:

The circumference of a circle with a radius of 4 units can be calculated using the formula C = 2πr, which equals approximately 25.13 units when using π as 3.14159.

Explanation:

To determine the circumference of a circle with a radius of 4 units, we need to use the circumference formula:

C = 2πr

Where C represents the circumference, π (pi) is approximately 3.14159, and r is the radius of the circle.

π is a special mathematical constant that represents the ratio of the circumference of any circle to its diameter, and for most practical calculations, it can be approximated as 3.14. Therefore, plugging the radius (4 units) into the formula we get:

C = 2 x 3.14159 x 4

C = 8 x 3.14159

C = 25.13272 units

We can round this answer to two decimal places for simplicity, obtaining:

C = 25.13 units

So, the circumference of a circle with a radius of 4 units is approximately 25.13 units.

Final answer:

The circumference of a circle with a radius of 4 units is approximately 25.12 units.

Explanation:

The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the radius is given as 4 units, so we can substitute that value into the formula to find the circumference.

C = 2π(4) = 8π units.

Since π is approximately 3.14, we can approximate the circumference as:

C ≈ 8 x 3.14 = 25.12 units.

Therefore, the circumference of the circle with a radius of 4 units is approximately 25.12 units.

what is the equation to (-3,1) and (0,-8)

Answers

The change in x between the two is 3 and the change in y is -9. 
Divide -9 by 3 to get -3 using the rise over run slope formula.  
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation. 
Hope this helps!

a recipe calls for 4 tsp of baking soda and 1 fl. oz. of vanilla. Which measurement is greater? Explain.

Answers

4 table spoons is greater. 1 fl oz equals to tablespoons so 2 fl oz would equal 4. So 4 table spoons is greater.

the length of a rectangle is 8 feet more than its width the area of the rectangle is 84 square feet find its length and width.

Answers

x(x+8)=84
x²+8x=84
-84.    -84
x²+8x-84=0
(x+14)(x-6)=0
x+14=0 x-6=0
x=-14  x=6
^reject the -14 because you can't have a negative measurement

The width is 6 feet and the length is 14 feet (6+8=14)

Answer:

breath = 6ft

length = 14ft

Step-by-step explanation:

Area of a rectangle = length x breath

Area = 84ft²

Since length is 8feet more than breath.

Let assume a breath is y.

i.e

breath = y

length = y + 8

Area = 84

84 = y * (y+8)

84 = y² + 8y

y² + 8y - 84 = 0

quadratic equation

y ( y - 6 ) + 14 ( y - 6 )

(y + 14 )( y - 6 )

So to find y

y + 14 = 0

y = -14

Or

y - 6 = 0

y = 6

We will you the positive value of y, because we can not have a negative value for measurements ( length or breath)

Therefore

breath = y

breath = 6ft

length = y + 8

length = 6 + 8 = 14ft

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