I need to match them but I don't know how

I Need To Match Them But I Don't Know How

Answers

Answer 1

Given:

The system of equations is:

[tex]x+3y=5[/tex]

[tex]x-3y=-1[/tex]

The given matrices are [tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex], [tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex], [tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex].

To find:

The correct names for the given matrices.

Solution:

We have,

[tex]x+3y=5[/tex]

[tex]x-3y=-1[/tex]

Here, coefficients of x are 1 and 1 respectively, the coefficients of y are 3 and -3 respectively and constant terms are 5 and -1 respectively.

In the x-determinant, the coefficients of x are in the first column and the constant terms are in the second column. So, the x-determinant is:

[tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex]

In the y-determinant, the constant terms are in the first column and the coefficients of y are in the second column. So, the y-determinant is:

[tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex]

In the system determinant, the coefficients of x are in the first column and the coefficients of y are in the second column. So, the system determinant is:

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

Therefore, the first matrix is y-determinant, second matrix is x-determinant and the third matrix is the system determinant.


Related Questions

Pls Help I will give Brainliest!

Answers

Answer:

Step-by-step explanation:

in order for the parallelogram to be a rhombus x=

Answers

Answer:

17

Step-by-step explanation:

Properties used:-

All sides of rhombus are equal therefore in the triangles

EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL

then we use alternate interior angles

Then we get,

3x-11=x+23

2x=34

x=17

SOMONE HELP WITH MATH

Answers

Answer:

x = 28

Step-by-step explanation:

HFG = EFI

6x - 4 = 164

6x = 164 + 4

6x = 168

x = 168/6

x = 28

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ARE ≅ ∆_____ by _____

Answers

Answer:

add a picture so i can see .

Step-by-step explanation:

Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.

Answers

Answer:

7x + 3y.

Step-by-step explanation:

7 pencils cost 7x cents and 3 erasures cost 3y cents.

a solid wooden cube has 4.35cm long.calculate the volume of the cube​

Answers

Answer:

82.31

Step-by-step explanation:

I believe this is correct, if it isn't feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

A researcher investigated whether following a vegetarian diet could help to reduce blood pressure. For a sample of 85 people who followed a vegetarian diet for 4 months, the mean systolic blood pressure was 124 mmHg. For a sample of 75 people who followed a non-vegetarian diet for 4 months, the mean systolic blood pressure was 138 mmHg. Methods of statistics show that if a vegetarian diet had no effect on blood pressure, there would be less than 1 chance in 100 of getting these results. Does the result have statistical significance? Why or why not? Does the result have practical significance?

Answers

Answer:

Yes, the result does not have statistical significance

Yes, the result has practical significance

Step-by-step explanation:

An experiment or claim may be said to be statistically significant if it's occurence is likely not due to chance for a certain level of stated significance. From the scenario described, it is stated that if vegetarian diet has no effect on blood, then the result obtained wipukd likely occur in less Than 1 of 100 ; this is < 0.01. This means that the effect of vegetarian diet on blood could not have occurred by chance. Hence, result is statistically significant.

The result does have practical significance too, since there is a distinctive difference in blood pressure of non - vegetarians(138mmHg) and Vegetarians (124mmHg).

A statistics teacher found that the average quiz score in her class is 86%, and the average test score in her class is 81%.
Which of the following is the best way to represent this data?

A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units

B. using a square with a side length of 86 units and a square with a side length of 81 units

C. using a pie chart with one section labeled 86% and one section labeled 81%

D. using a cube with a side length of 86 units and a cube with a side length of 81 units

Answers

Answer:

A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units

Step-by-step explanation:

Took the quiz. The usual.

The optimal method to represent this data is with a "bar graph", with one bar 86 units long and the other 81 units long. which is the correct answer that would be an option (A).

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The best way to represent this data is using a "bar graph" where one bar has a length of 86 units and one bar has a length of 81 units.

This is because a bar graph is used to compare the sizes of different data points, and the length of each bar represents the value of the data point.

In this case, the average quiz score is 86% and the average test score is 81%, so the length of the bar representing the quiz score would be longer than the length of the bar representing the test score.

Thus, Option A correctly describes the use of a bar graph to represent the data, so it is the correct answer.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

Question 4-6. Earth is 93 million miles from the Sun. Pluto is 4.67 billion miles from the Earth.Calculate the ratio of the distance from Pluto to Earth to the distance from Earth to the Sun. Use scientific notation to calculate the ratio and express your answer in standard notation. (round to the hundredths place)

Answers

Answer:

PE/SE = 5.02×10¹

Step-by-step explanation:

Sun-Earth (SE) = 93×10⁶ miles

Pluto-Earth (PE) = 4.67×10⁹ miles

so, PE/SE = (4.67×10⁹) / (93×10⁶) = (4.67×10³)/93 =

= 50.215053763440860215... =

= 5.02×10¹ / 1 or simply 5.02×10¹

in other words, Pluto is a little bit more than 50 times farther away from Earth, than Earth is from the Sun.

Karl wants to fertilize his 6 acres. If it takes 7 StartFraction 2 Over 3 EndFraction bags of fertilizer for each acre, how much fertilizer does Karl need to buy?

Answers

Answer:

46

Step-by-step explanation:

Just multiply 6 by 7 2/3 to get 46.

Answer:

The answer is 46 bags

Step-by-step explanation:

Have a good summer!!!

Give an
example of a set of data that has more than one mode.

Answers

Answer:

Step-by-step explanation:

To calculate the mode, we simply count the number of times that each value appears in the data set and then find the value that appears most often.

A data set can have more than one mode if there is more than one value with the highest count. For example, both 2 and 3 are modes in the data set {1; 2; 2; 3; 3}.

Example of a set of data having more than one node is {1; 2; 2; 3; 3}.

What is Node?

An example S of the data type node. set is a subset of the nodes of a graph G. S is said to be valid for the nodes of G.

Given,

To calculate the mode, we simply count the number of times that each value appears in the data set and then find the value that appears most often.

Now,

A data set can have more than one mode if there is more than one value with the highest count.

For example, both 2 and 3 are modes in the data set {1; 2; 2; 3; 3}.

Learn more about node,

https://brainly.com/question/32196475

#SPJ2

What is an
equation of the line that passes through the points (0, -1) and (6, 1)?

Answers

Answer:

y = 1/3x -1

Step-by-step explanation:

The slope is  y2 - y1 / x2 - x1

y2 is 1

y1 is -1

x2 is 6

x1 is 0

So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3

The slope is 1/3.

The y-intercept is the place where x is 0. It shows the y-intercept here as

(0, -1),  The y-intercept is  -1

Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1

So the equation is: y = 1/3x -1

At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?

Answers

63 percent of students are in the band!

The question is one the picture

Answers

Answer:

y=-1/2x+4

Step-by-step explanation:

The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).

Work out the following, giving your answers in their simplest form:
b) 5/9 ÷ 5​

Answers

Answer:

5/9÷55/9×1/51/9Hope it helps you

Answer:

Since i m not sure of the equation i have dont both possible ways :)

Step-by-step explanation:

b)

(5/9) ÷ 5

    [tex]= \frac{5}{9} \div 5\\\\=\frac{\frac{5}{9}}{5}\\\\=\frac{5}{9 \times 5}\\\\=\frac{1}{9}[/tex]

5/(9÷5)

   [tex]=\frac{5}{9 \div5}\\\\= \frac{5}{\frac{9}{5}}\\\\=\frac{5 \times 5}{9}\\\\=\frac{25}{9}[/tex]

một nhà máy có 3 phân xưởng, tỉ lệ là 20%, 30%, 50%. tỉ lệ sản phẩm loại một của các phân xưởng lần lượt là 90%, 85%, 80%
lấy ngẫu nhiên 1 sản phẩm của nhà máy, tính xác suất để được sản phẩm loại một

Answers

Answer:

83.5%

Step-by-step explanation:

90% × 20% + 85% × 30% + 80%× 50%

How does this post work?

Answers

B is the correct answer since we are finding the perimeter of a rectangle
54 1/8+54 1/8= 108 1/4
38 1/2+38 1/2= 77
108 1/4+77= 185.25

So B is the answer

Why is android sound louder then iPhone???
Answer ASAP

Answers

My Answer

iPhones generally have better sound and more volume than Android.

Find the value of x if x/3-2=6

Answers

Step-by-step explanation:

hope it is helpful to you

stay safe happy and healthy

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x}{3}-2=6}[/tex]

[tex]\mathsf{= \dfrac{1}{3}x - 2 = 6}[/tex]

[tex]\textsf{ADD 2 BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{1}{3}x - 2 + 2 = 6 + 2}[/tex]

[tex]\textsf{CANCEL out: -2 + 2 because that gives you 1}[/tex]

[tex]\textsf{KEEP: 6 + 2 because that helps solve for x}[/tex]

[tex]\mathsf{6 + 2 = \boxed{\bf 8}}[/tex]

[tex]\mathsf{NEW \ EQUATION: \dfrac{1}{3}x = 8}[/tex]

[tex]\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]

[tex]\mathsf{3\times\dfrac{1}{3}x=3\times8}[/tex]

[tex]\mathsf{CANCEL\ out: \ 3 \times \dfrac{1}{3} \ because \ that \ gives \ you \ 1}[/tex]

[tex]\mathsf{KEEP: \ 3 \times 8 \ because \ that\ gives \ you \ the \ value \ of \ x}[/tex]

[tex]\mathsf{\boxed{\bf x}= 3\times8}[/tex]

[tex]\mathsf{3\times8 = \boxed{\bf x}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 24}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The survey of a group of students showed that 50 like tea,40 liked coffee,35 liked milk,20 liked coffee as well as tea,18 liked tea as well as milk,12 liked coffee as well as milk and 7 liked all three. If every students liked at least one drink, how many students were asked this question ? Solve it by drawing a Venn- diagram.​

Answers

Answer:

82

Step-by-step explanation:

pls answer i’ll give brainliest if it lets me

Answers

Answer:

32.25

Step-by-step explanation:

1 quart = 32 fluid ounces

12 months = 1 year

86 quarts/1 month = 1032 quarts/12 months

1032/32 = 32.25 fluid ounces

At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answers

This question is incomplete, the complete question;

At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answer:

the length of the shadow will be 379 ft

Step-by-step explanation:

Given the data in the question and as represented in the diagram below;

height of monument = 555 ft

angle of elevation = 55.7°

From the image below, this makes a right angled triangle

we know that the some of the interior angles of a triangle is 180

so

∠ABC + ∠BCA + ∠CAB = 180°

90° + 55.7° + ∠CAB  = 180°

∠CAB = 180° - 145.7°

∠CAB = 34.3°

Now, using sine rule;

BC / sinA = AB / sinC

so we substitute

BC / sin( 34.3°) = 555 / sin( 55.7° )

BC / 0.563526 = 555 / 0.826098

we cross multiply

BC × 0.826098 = 0.563526 × 555

BC × 0.826098 = 312.75693

BC = 312.75693 / 0.826098

BC = 378.595 ≈ 379 ft

Therefore, the length of the shadow will be 379 ft

Help help help help help

Answers

Answer:

m(∠y) = 64°

Step-by-step explanation:

From the figure attached,

m(∠e) = 90°

m(∠b) + 67° = 180° [Linear pair of angles]

m(∠b) = 180 - 67

          = 113°

m(∠c) + 75° = 180°  [Linear pair of angles]

m(∠c) = 105°

m(∠a) = m(∠d)

By the property of a polygon,

Sum of the interior angles of a polygon is given by,

Sum of interior angles = (n - 2) × 180°

Here, n = number of sides of the polygon

For n = 5,

Sum of interior angles = (5 - 2)×180°

                                     = 540°

m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°

2m(∠d) + 113° + 105° + 90° = 540°

2m(∠d) + 308 = 540°

2m(∠d) = 540 - 308

m(∠d) = 116°

m(∠d) + m(∠y) = 180°

m(∠y) + 116° = 180° [Linear pair of angles]

m(∠y) = 64°

Which expression is equivalent to xy^2/9?

Answers

Answer:

[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]

Step-by-step explanation:

Given

[tex]xy^\frac{2}{9}[/tex]

Required

The equivalent expression (see attachment)

We have:

[tex]xy^\frac{2}{9}[/tex]

Split

[tex]xy^\frac{2}{9} = x*y^\frac{2}{9}[/tex]

Apply the following laws of indices

[tex]y^\frac{m}{n} = \sqrt[n]{y^m}[/tex]

So, we have:

[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]

Hence (d) is correct

Answer:

Its D.

Step-by-step explanation:

Just took the quiz on EDGE2022

3 points If you have the following experimental running times in seconds for some program, mark the one word hypothesis on the order of growth of the running time that best explains the given experimental evidence​

Answers

Answer:

Logarithmic

linearithmic

linear

Answer:

express the following equation as two statement each using the word varies and proportional i) v(rl=4/3

Borrows £10,000 over 5 years simple interest rate of 15%

Answers

Answer:

[tex]{ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500[/tex]

which equation represents the graphed function
A. y=4x-2
B. y=-4x-2
C. y=1/4x-2
D. -1/4x-2

Answers

It’s easy just find the slope and the answer is gonna be obvious

Slope= y2-y1/x2-x1

Slope = -2-(-1)/0-4 = -1/-4 = 1/4

Slope = 1/4x

So the answer should be C

One hundred forty-eight ten thousandth is

Answers

0.0148 hope this helped
one hundred forty-eight ten thousandths is 0.0148

Help!!
f is a quadratic function where f(2) = 0, f(-2) = 0, and f(0) = -0.12. Find an algebraic equation for
f(u).

Answers

Answer:

bad gvkvkgcnhvvjzadhljang

v

gjddkfzutwdjtabkf

f(u) = k(u - 2)(u + 2)
f(0) = k x -2 x 2 = -0.12
so k = -0.12 / -4 = 0.03

f(u) = 0.03(u - 2)(u + 2)

Solve for X in the triangle. Round your answer to the nearest TENTH. (LISTING BRAINLIST PLZ HELP)​

Answers

Answer:

2.3 =x

Step-by-step explanation:

We know the opposite and adjacent sides.

Since this is a right triangle, we can use trig functions

tan 38 = opp/ adj

tan 38 = x/3

3 tan 38 = x

2.34385688= x

To the nearest tenth

2.3 =x

Answer:

x ≈ 3.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 38°

Opposite Leg = x

Adjacent Leg = 5

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     tan38° = x/5[Multiplication Property of Equality] Multiply 5 on both sides:                      5tan38° = xRewrite:                                                                                                              x = 5tan38°Evaluate:                                                                                                           x = 3.90643Round:                                                                                                               x ≈ 3.9
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