What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)

Answers

Answer 1

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1


Related Questions

Please I need help with this questions.....

Answers

Answer:

Correct

Step-by-step explanation:

This report is correct because the most people finished in 4 hours

Answer:

I think you are correct. I hope this helps please tell me if you get it right or wrong.

Step-by-step explanation:

What is the answer of 135=-9x+9?

Answers

Answer:

x=-14

Step-by-step explanation:

move all the terms that don't  contain x to the right side and solve.

(idk if this is correct but i hope it helps)

Answer:

Please mark me brainliest and I hope this helped!

X = -14

Step-by-step explanation:

First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:

x = -14

PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!

Answers

Answer:

3360

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]

This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!

What is the domain of the function on the graph?

Answers

Answer:

D: [-3, ∞)

Step-by-step explanation:

The x values go from -3 to infinity

The domain is the set of valid x values.   That's all real numbers -3 and up, last choice.


Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *

Answers

Answer: (AA, AB, AC, BA, BB, BC, CA, CB, CC)


Explanation: Since e are only looking at the outcomes, there are no numbers needed. However, it is worth noting that there 9 possible outcomes.

Also, it would be helpful to use a tree diagram on problems like this, which is simply a visual representation of the outcomes (aka sample space).

What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)

Answers

Answer:

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

Step-by-step explanation:

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

:)

The vertices of the triangle after rotation are:-

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).

To know more about translation follow

https://brainly.com/question/28393968

#SPJ2

please come in clutch and help me please and thank you!

Answers

Answer:

3/20

Step-by-step explanation:

its 3/20 because its really the only possible answer that has 20 has its denominator

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

Answers

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5



Answers

Answer:

area of the sector  =4π/3  cm²

Step-by-step explanation:

To find the area of the sector, we will follow the steps below;

first write the formula for finding area of a sector

area of a sector = Ф/360  ×  πr²

where r is the radius

from the question given

Ф= 30       and radius = 4 centimeters

we can proceed to insert the values into he formula above

area of a sector = Ф/360  ×  πr²

                             =30/360  ×π×4²

                             =1/12 ×π×16

                             =16π /12

                              =8π/6

                             =4π/3

area of the sector  =4π/3  cm²

There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960

Answers

Answer:

20,480

Step-by-step explanation:

5x2^12

Answer:

20480

Step-by-step explanation:

got it right on edge

Are the following two figures similar or congruent?

A. Congruent
B. Similar

Please help me with this

Answers

Answer:

B. Similar

Step-by-step explanation:

Congruent triangles have to be the same size. Similar triangles need to have the same angles but are not the same size.

Answer:

B. Similar

Step-by-step explanation:

the 14th hole at riverwoods golf course is 378 yards long how long would it be on a model with a scale of 0.5 inches to 75 yards

Answers

Answer:

2.52 inches

Step-by-step explanation:

Model: 1 inch =150 yds

378/150=2.52

Length of model: 2.52 inch

pls help this is due tmr pls help:(​

Answers

Answer:

The correct answer is 4 (0.72n)

Total notebook = 70

Total cost = 50.4

now

cost of one note book = total cost / total no notebook

= 50.4/70

= 0.72

Simplify the expression:

3x (4x-6)
—————
2x(3x)

Answers

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

Brea was asked to find the area of a rectangular field they build with square flat blocks. If the sides of the rectangular field were 5/6 and 1/2 kilometers, how many 1/2 kilometers sqaure blocks will the students need to build the field?

Answers

Answer:

need

Step-by-step explanation:

points

If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem

Answers

you could download 2 more songs.

X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song

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

Answers

Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

p = 2b+2c
-2b -2b

p -2b =2c
/2 /2

p/2 -b =c
The answer is P/2-b=c.

Help please!!!! It geometry and i have no clue wht im doing

Answers

Step-by-step explanation:

21. supplementary angles (add up to 180°)

22. vertical angles (congruent)

23. vertical angles (congruent)

24. supplementary angles (add up to 180°)

25. supplementary angles (add up to 180°)

26. supplementary angles (add up to 180°)

27. supplementary angles (add up to 180°)

28. supplementary angles (add up to 180°)

29.

(complementary angles)

[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]

30.

(supplementary angles)

[tex]9x-4+4x-11=180[/tex]  

[tex]13x-15=180\\13x=195\\x=15[/tex]

31.

(vertical angles)

[tex]x-15=60\\x=75[/tex]

32.

(supplementary angles)

[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]

33.

(complementary angles)

[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]

Hope this helps!

If the radius of a cone is 3 cm and a height of the Cone is 8 cm what is the surface area

Answers

Answer:

24

Step-by-step explanation:

if the radius is 3 cm and the height is 8 cm we would multiply3 x 8 = 24so the answer is 24

( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )

Answers

Answer:

b because look at the notes and study

Answer:

[tex]{25x}^{2} - 54[/tex]

what is the minimum please answerrr

Answers

Answer:

(0,1) should be the anwser your looking for

(0, 1) is the minimum! it’s the least/lowest point of the graph

The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43

Answers

The answer would be A. 14 and 42

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

Which one is greater -3 1/4 or 3 6/25

Answers

Answer:

3 6/25 is greater

Step-by-step explanation:

Because -3 1/4 is a negative number

it is 3 1/4coz to be equal the other one had to be 3 6/24

The graph shows the speed of a particle over a 10 second time interval find an estimate for the distance travelled by the particle

Answers

Answer:

240

Step-by-step explanation:

(2x36)/2=36

(36+39)x2/2=75

(31+39)x2/2=70

(14+31)x2/2=45

(2x14)/2=14

14+45+70+75+36=240

Which graph represents a proportional relationship?

Answers

Answer: D) The bottom right image

Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.

I hope this helps!

Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)

Answers

Answer:

w = - 5, w = - 3

Step-by-step explanation:

Given

w² + 8w + 15 = 0

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)

The factors are + 5 and + 3 , since

5 × 3 = 15 and 5 + 3 = 8 , thus

(w + 5)(w + 3) = 0 ← in factored form

Equate each factor to zero and solve for w

w + 5 = 0 ⇒ w = - 5

w + 3 = 0 ⇒ w = - 3

Can someone help me with this ASAP please and thank you

Answers

Answer:

C

Step-by-step explanation:

Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.

Answer:

C. I and IV only

Step-by-step explanation:

Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.

I.

8^2 + 15^2 = 64 + 225 = 289

17^2 = 289

289 = 289

Right Triangle

II.

4^2 + 5^2 = 16 + 25 = 41

6^2 = 36

41 is not equal to 36

Not a Right Triangle

III.

2^2 + 2^2 = 4 + 4 = 8

3^2 = 9

8 is not equal to 9

Not a Right Triangle

IV.

9^2 + 12^2 = 81 + 144 = 225

15^2 = 225

225 = 225

Right Triangle

Answer: C. I and IV only


The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

Since the area of a kite is half the product of the diagonals:

60=15*x/2

120=15*x

x=120/15=8

Hope this helps!

What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828​

Answers

Answer:

The correct option is D

D) -0.828

Step-by-step explanation:

Step 1:

First find the mean of both x data set and y data set

x(mean) = 39/5 = 8

y(mean) = 53/5 = 11

Step 2:

(find the values given in table attached below. The formation of table is step 2)

Step 3:

Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula

r = ∑XY/(√∑X². ∑Y2²

∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2

r = -119.4/(√50.8 x 409.2)

Simplify above expression

r = -119.4/√20787.36

r = -119.4/144.1782

r = -0.8281

Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}

Other Questions
Which of the following economic situations did farmers want to see in the late 1800s? Question 10 options: High tariffs Inflation Recession Deflation what is the formula for S5O3 A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? * Please help me Im stuck with this question someone help me please A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest? Find the slope of the line that passes through (4, 18) and (7, 10).Simplify your answer and write it as a proper fraction, improper fraction, or integer. I need help,please as fast as possible In the graph shown, which two budget areas make upabout two-thirds of Charlottesville, Virginia'sexpenditures?O Contributions to schools and Public safety andjusticeHealth and Public safety and justiceO Infrastructure and transportation and Contributionsto schoolsO Other and Health Which activities can help conserve water when taking showers I need explanation and help me plz !!!! a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path. Which sequence shows a pattern where each term is 1.5 times the previous term?4, 6, 9, 13.5, 10, 15, 25, 40, 98, 99.5, 101, 102.5 200, 300, 450, 675, I just want u guys to check it and see if it is right if it is say it is and if not please correct me and tell me the answer :)Lesson 1 exit ticket NamePlease make a copy and then work on it, thank you!1, Fill in the chart converting between fractions, decimals and percents. Fraction Decimal Percent 0.125 12.5%1245/1000 1.245 124.5%40/100 .4 %Show your work here. 8 times .125 = 1 that is 12.5%.1.245 = 1245/1000 which is 124.5%.% is 40% which equals 0.4 or 40/1002. Using the values from the chart in problem 1, list them from least to greatest. 12.5%%124.5% the diameter of a circle is 9m. Find the circumference to the nearest tenth (urgent) Four cups of water are added to a 20 cup bowl of punch that is 75% juice. What percentage of the new punch is juice? help me please i need this done ASAP Find the length of the segment QS.(Enter the just the value, without any units.) WRITTEN INTERVIEW QUESTIONSDoctoral candidates should provide an authentic personal statement to each of the five following questions/prompts reflecting on their own personal interest. In the event that any outside resources are used, resources should be cited in APA format. Submissions should be a maximum of 500 words or 125 words per question/prompt. It is best to response to each prompt/question individually for clarity of the reviewer. Writing sample should be submitted in Microsoft Word format and include candidates name.PhD IT1. Tell us about yourself and your personal journey that has lead you to University of the Cumberlands.2. What are your research interests in the area of information technology? How did you become interested in this area of research?3. What is your current job/career and how will this program impact your career growth?4. What unique qualities do you think you have that will help you in being successful in this program?5. How can obtaining a doctorate impact your contribution to the practices of information technology? Where do you see yourself after obtaining a doctorate from UC? Beliefs that include varied experiences (both positive and negative) of parenting are referred to as Felipe believes that whenever the Moon is in the position that is shown from above (top view) in Diagram A, the Moon always looks completely bright in the view from Earth, as shown in Diagram B. Is Felipe correct? If he is correct, explain why the Moon always looks bright from Earth in that position, and explain how he should show light on the Moon in Diagram A. If he is incorrect, explain how else the Moon can look when it is in that position.