What is the solution to the system of equations ?
Y=2/3 x + 3
X= -2

Answers

Answer 1

Answer:

5/3

Step-by-step explanation:

Answer 2

Answer:

x = -2, y = 5/3

Step-by-step explanation:

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

[tex]y=\frac{2}{3} (-2)+3[/tex]

[tex]-\frac{4}{3}[/tex] + 3 =

[tex]-1\frac{1}{3}[/tex] + 3 = [tex]\frac{5}{3}[/tex]


Related Questions

You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?​

Answers

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x.

Answers

Answer:

[tex]x = 15.[/tex]

Step-by-step explanation:

Given

See attachment for floor space

Required

Find x

The floor can be partitioned into three space.

The dimension and the area of each space is:

Dimension: 10 by 10

[tex]A_1 = 10* 10 = 100[/tex]

Dimension: 10 by x

[tex]A_2 = 10* x = 10x[/tex]

Dimension: x by x

[tex]A_3 = x* x=x^2[/tex]

So, the total area is:

[tex]Area =100 +10x + x^2[/tex]

Given that:

[tex]Area = 475[/tex]

So, we have:

[tex]100+10x+x^2 =475[/tex]

Rewrite as:

[tex]x^2 +10x+100-475=0[/tex]

[tex]x^2 +10x-375=0[/tex]

Expand

[tex]x^2 + 25x -15x -375 = 0[/tex]

Factorize

[tex]x(x + 25) -15(x +25) = 0[/tex]

Factor out x + 25

[tex](x+25)(x-15)=0[/tex]

Solve:

[tex]x = -25\ or\ x = 15[/tex]

x cannot be negative; So:

[tex]x = 15.[/tex]

The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?

Answers

Answer:

the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79

Step-by-step explanation:

i think im 100 percent correct i took the test on flvs if I'm wrong just let me know

Determine the surface area of the shape below.

Answers

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

What equals 394 in addition

Answers

Answer:

There are many answers

Step-by-step explanation:

393 + 1 = 394

392 + 2 = 394

391 + 3 = 394

And so forth...

Hope this helps :)

Find the volume of the cylinder. Use 3.14 for π. Round to the nearest tenth.

Answers

Answer:

62.8 m^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = (3.14) ( 2)^2 *5

V = 62.8 m^2

Answer:

V = 62.8 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 2 cm

h = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                               V = (3.14)(2 cm)²(5 cm)Evaluate exponents:                                                                                         V = (3.14)(4 cm²)(5 cm)Multiply:                                                                                                             V = (12.56 cm²)(5 cm)Multiply:                                                                                                             V = 62.8 cm³

If two points on a line are given by (-7, -1) and (-7, 12), we would say the line equation is?

Answers

[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]

Remember : To find the equation of straight line passing through given points ( x₁ , y₁ ) and ( x₂ , y₂ ) , Use [tex] \tt{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}(x - x_{1}}) [/tex]

Let the given points ( -7 , -1 ) be ( x₁ , y₁ ) & ( -7 , 12 ) be ( x₂ , y₂ ).

[tex] \underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: y - y_{1} = \frac{y_{2} - y _{1}}{x_{2} - x_{1}} (x - x_{1})}}}[/tex]

[tex] \large{ \tt{↦y - ( - 1) = \frac{12 - ( - 1)}{ - 7 - ( - 7)} \{x - ( - 7) \}}} [/tex]

[tex] \large{ \tt{↦y + 1 = \frac{12 + 1}{ - 7 + 7}(x + 7)} }[/tex]

[tex] \large \tt \:↦ \: y + 1 = \frac{12}{0} (x + 7)[/tex]

[tex] \large{ \tt{↦ \: y + 1 = 12(x + 7)}}[/tex]

[tex] \large{ \tt{↦y + 1 = 12x + 96}}[/tex]

[tex] \large{ \tt{↦ \: 12x + 96 = y + 1}}[/tex]

[tex] \large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}[/tex]

[tex] \large{ \boxed{ \tt↦12x - y + 95 = 0}}[/tex]

Hence , 12x - y + 95 = 0 is the required equation of the line.

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An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km before over flying a road junction. Calculate A. Distance of airplane from ikeja airport when it was directly above the road junction B. The bearing of the airplane from ikeja airport at this instant

Answers

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = [tex]\sqrt{A^{2} + B^{2} -2AB cos(c) }[/tex]

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = [tex]\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }[/tex]

C = [tex]\sqrt{250000 + 90000 - [215000 cos(60) }][/tex]

C = [tex]\sqrt{340000 - [215000 * 0.5 }][/tex]

C = [tex]\sqrt{340000 - [107500 }][/tex]

C =[tex]\sqrt{232500}[/tex]

C = 482 km

The bearing can be gotten by using the Sine Rule.

[tex]\frac{sina}{A}[/tex] = [tex]\frac{sinc}{C}[/tex]

sina/500 = sin60/482

482 sina = 500 sin60

sina = [tex]\frac{500 sin60}{482}[/tex]

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?

Answers

Answer:

No

Step-by-step explanation:

We can use the Pytaghorean theorem to verify it

4.4^2 + 5.5^2 = 6.6^2

19.36 + 30.25 = 43.56

49.61 = 43.56 (false)

half of a dome is called what?​

Answers

Answer:

See I don't know the Answer but I Need points to ask question so Sorry

Step-by-step explanation:

Someone PLEASE help me !!

1. five times the product of two numbers x any y, divided by a third number z. what is the algebriac expression?

2. Seven times the product of two numbers x and y, less five, divided by thrice a third number z, what is the algebriac expression?

3. Half the product of two numbers x and y, minus five times a third number z. what is the algebriac expression?

4. three times a number x, minus four times a second number y, divided by seven times a third number. whats the algebriac expression?​

Answers

Answer:

no lo entiendo lo que escribiste

Answer:

1.5(x+y)/z

2. 7(x+y)-5/3z

3.1/2(x+y)-5

4. 3x-4y/7z


What is the volume of this cone?

Answers

Answer:

r=6.1cm

volume=1/3πr^2

=1/3×22/7×6.1^2

=818.62/21

=38.98cm^3

Which of the following functions best describes this graph?
A. Y = (x-3)(x + 4)
B. y = x^2-5x +6
C. y = x^2 -9x+18
D. y - (x+3)(x +6)

Answers

Answer:

(A). y = ( x - 3 ) ( x + 4 )

Step-by-step explanation:

find the x-coordinate of the vertex of the function given below. y = x^2 + 12x + 21

Answers

Answer:

(-2,13;-0,02)

and

(-9,87;-0,02)

Can someone please help me

Answers

Answer:

Her monthly rate per month is $12

Step-by-step explanation:

On the 0 month is what she already had in her bank account.

Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answers

Yes because,
16^2 + 63^2 = 65^2
By this we can obviously say that,
The sum of the squares of the two sides = the square of hypotenuse
Which makes it a right angle triangle.

Answer:

yes , it is a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

16^2 + 63^2 = 65^2

256 + 3969 = 4225

4225 = 4225

since both sides are equal it can be concluded that the given side lengths d forms a right triangle.

Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9

Answers

Answer:

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

          Statement                                                Reason

1. <1 and <2 are linear pair                               Given

2. <1 and <2 are supplementary                     Linear pair postulate

3. <1 ≅ <2                                                          

4. <1 ≈ <2                                                           Given

5. m<1 = m<2                                                     Substitution POE

6. m<1 + m<2 = [tex]180^{o}[/tex]                                          Def of supplementary angles

7. 2(m<1) = [tex]180^{o}[/tex]                                                  Simplify/ Combine like terms

8. m<1 = [tex]90^{o}[/tex]                                                        Definition of right angle

9. 2(m<2) = [tex]180^{o}[/tex]                                        

10. g ⊥ h                                                             Def of perpendicular lines

A teacher writes four numbers on the board as shown blow
1
0
4
3
She asked the students to form 4-digit number, and subtract from 4310.
Write two possible solutions​

Answers

Answer:

909 and 3267

Step-by-step explanation:

There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...

4310 - 3401 = 909

4310 - 1043 = 3267

Finally, we have two possible solutions which would be 909 and 3267

MARKING BRAINLIEST

PLS HELP

Answers

Answer:

-7

Step-by-step explanation:

Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.

awnser: -7
explanation : i got it from the guy up there^^

Write and solve the equation for the following situation:

Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.
A.) x + 16 = 90
B.) x + (x + 16) = 90
C.) 2x + 16 = 90 (NOT CORRECT)
D.) x + 16 = 180

WILL GIVE BRAINLIST

Answers

Answer:

B.) x + (x + 16) = 90

2x+16=90

2x=90-16

x=74/2

x=37

The correct answer is B.

Given that x= -3, what is the value of 2ײ - x + 5?​

Answers

Answer:

26

Step-by-step explanation:

2(9)-(-3)+5

2(9)+3+5

18+8

26

Answer:

 26

Step-by-step explanation:

2x^2 -x+5

x=-3

2(-3)^2 -(-3)+5

2(9)-(-3)+5

18-(-3)+5

negative multiplied by negative is positive so you have

18+3+5= 26

Have a nice day :)

20 POINTS!!!!
Recall that the multiplicative inverse of a number a is the number b such that ab = 1. For example, the multiplicative inverse of 3 is . Also recall that division is multiplication by a number’s multiplicative inverse. For example, to divide by 3, just multiply by . With these definitions, use complete sentences to explain why we can’t divide by zero.

Answers

So, the multiplicative inverse of a number is a number that nullifies the impact of the number to identity 1. Thus the multiplicative inverse of a number is a number by which the multiplication results in 1. That is, number b is the multiplicative inverse of the number a, if a × b = 1.

What is organic chemistry??​

Answers



Organic chemistry is the study of the structure, properties, composition, reactions, and preparation of carbon-containing compounds. Most organic compounds contain carbon and hydrogen, but they may also include any number of other elements (e.g., nitrogen, oxygen, halogens, phosphorus, silicon, sulfur).

How do I find RS? I've been having great trouble with questions like this recently.

Answers

RS = 5

To find the value of RS, you first have to solve for the variable x.

To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.

Solving this equation gives you x = 9.

You then substitute 9 into x - 4.

9 - 4 = 5.

This gives you RS = 5

Answer:

5

Step-by-step explanation:

We can solve by solving for x

2x-6 + 1 + x-4 = 18

3x-9=18

3x=27

x=9

Plug in 9 for x in Segment RS and you get (9) - 4 = 5

Hope this Helps!

Please Mark Me Brainliest!

:)

Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. a. What is the probability that a single detection system will detect an attack

Answers

Answer:

0.8 is the probability that a single detection system will detect a missile attack.

Step-by-step explanation:

plssplsplsplspls answer fast bc its a map and I can't wait for way too long

Answers

Answer:

Part A: 1

Part B: -4

Step-by-step explanation:

In a coordinate [tex](x,y)[/tex], the x-coordinate represents the input of a function and the y-coordinate represents the output.

Part A:

We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.

Part B:

We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.

Answer:

A) 1

B -4

well, need to write at least 20 characters... have a nice day :)

2 + (-25) =?
NO LINKS OR I WILL REPORT!! 10 POINTS PLEASE ANSWER!

Answers

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

When you do positive-negative you subtract the 2 numbers then take the sign of the number that had the highest absolute value.

25-2=23

The absolute value of -25 is 25

(|-25| = 25)

And the absolute value of 2 is 2

(|2| = 2)

25 > 2

So it would be -23

what is the Average of -8, -1, -3

Answers

Answer:

[tex] = \frac{ - 8 - 1 - 3}{3} \\ = \frac{ - 12}{3} \\ = - 4[/tex]

What is the transformation shown in the graph?
270° rotation
reflection
180° rotation
90° rotation
i got it wrong and had 90° rotation

Answers

When you rotate the image using the 90 degrees rule, the end points of the image will be (-1, 1) and (-3, 3). The rules for the other common degree rotations are: For 180 degrees, the rule is (x, y) --------> (-x, -y) For 270 degrees, the rule is (x, y) --------> (y, -x)

The following chart shows a store’s coat sales for two years. Identify the percent increase in total sales and the percent increase in sales of jackets. Then find which percent of increase is greater and by how much greater it is than the other. (Round your answer to the nearest tenth.) a. Sales of jackets increased 3.6 percentage points faster than total coat sales. b. Sales of jackets increased 18.8 percentage points faster than total coat sales. c. Total coat sales increased 8.1 percentage points faster than sales of jackets. d. Total coat sales increased 24.5 percentage points faster than sales of jackets. Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is "Option b"

Step-by-step explanation:

Please find the complete question in the attached file.

In 2006:

Top coats= 297

Parkas= 210

Jackets =213

Raincoats=137

Trench coats =103

Total: [tex]297+210+213+137+103=960[/tex]  

In 2007:

Top coats =223

Parkas = 210

Jackets= 285

Raincoats = 259,

Trench coats =127

Total: [tex]223+210+285+259+127=1,104[/tex]

Calculating the percentage of the increasing total sales:

[tex]\to \frac{1,104-960}{960}\times 100=15\%[/tex]

Calculating the percentage of the increasing sales of the trench coats:  [tex]\to \frac{127-103}{103}\times 100 \approx 23.3\%[/tex]

Because [tex]23.3\%- 15\%=8.3\%[/tex] sales of the Trench coats increase by 8.3% point is faster than the total coat sales.

Answer:

B

Step-by-step explanation:

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