13.
A line passes through (3, –2) and (6, 2). Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.

A. y + 2 = 4/3(x – 3); –4x + 3y = –18
B. y – 3 = 4/3(x + 2); –4x + 3y = 17
C. y + 2 = 4/3(x + 3); –4x + 3y = –18
D. y – 2 = 4/3(x – 3); –4x + 3y = 18

Answers

Answer 1

Answer:

A. y + 2 = 4/3(x – 3); –4x + 3y = –18

Step-by-step explanation:

(3, –2) and (6, 2)

First, we must establish slope...

m=(y-y1)/(x-x1)

m=(-2-2)/(3-6)

m=-4/-3

m=4/3

Point slope formula is...

y-y1=m(x-x1)

Let's select either coordinate.  I randomly select the first (3, –2)...

y--2=4/3(x-3)

Subtracting a negative number is the same as adding a positive number...

y+2=4/3(x-3)

This corresponds to the first answer.

Standard form...

Ax+By=C

y+2=(4/3)x-4

y=(4/3)x-6

-(4/3)x+y=-6

Multiply both sides by 3...

-4x+3y=-18

This also corresponds to the first answer.

 

How about the second coordinate, (6, 2)...

y-y1=m(x-x1)

y-2=(4/3)(x-6)

Let's convert it into standard form..

y-2=(4/3)x-8

y=(4/3)x-6

-(4/3)x+y=-6

Multiply both sides by 3...

-4x+3y=-18

FIRST ANSWER

y + 2 = 4/3(x – 3); –4x + 3y = –18


Related Questions

Joe borrow $5000 in the bank at a rate of 7% simple interest per year how much interest is paid in two years

Answers

Answer:

$700

Step-by-step explanation:

  First, multiply 5,000 times 7:

  5,000 × 7 = 35,000

 

  Since 7% is 0.07, move the decimal place in 35,000 two times:

  35,000.

       

whats obamas second names

Answers

Answer:

Barrack Obama?

Step-by-step explanation:

Former president Obama's full name is Barack Hussein Obama II

Answer:

barack

Step-by-step explanation:

Lesson 14 Homework
NYS COMMON CORE MATHEMATICS CURRICULUM


Thomas calculates 9 x 7 by thinking about it as 70 - 7 = 63. Explain Thomas' strategy.

Answers

his strategy is to do it in parts. 10x7 is a little easier since anything x 10 just gets a 0 on the end of it. so 10x7=70 then he subtracted 7 to get the answer to 9x7 which is 63

Solve for the value of ee.

Answers

Answer:

Step-by-step explanation:

Two angles are supplementary, that means their sum is equal to 180 degrees

3e - 4 + e + 8 = 180 add like terms

4e + 4 = 180 subtract 4 from both sides

4e = 176 divide both sides by 4

e = 44

Find the slope of the line that passes through (6, 24) and (5, -19).

Answers

Answer:

1/43

Step-by-step explanation:

6 - 5 = 1

24 - (-19) = 43

Slope is 1/43

Please answer the following question

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Benjamín le dijo a Gustavo el doble del dinero que tengo más la mitad de esa cantidad es 200 pesos ¿con cuánto dinero cuenta Benjamín?

Answers

Considerando la definición de una ecuación, Benjamín cuenta con una cantidad de dinero de 66.67 pesos.

Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos.

Los miembros de una ecuación son cada una de las expresiones que aparecen a ambos lados del signo igual.

En este caso, "el doble del dinero que tengo más la mitad de esa cantidad es 200 pesos" puede ser expresado mediante una ecuación, donde consideras que "x" es la incógnita, que representa la cantidad de dinero que tiene Benjamín.

Teniendo en cuenta que la mitad de un número se calcula dividiendo el número por 2, mientras que el doble de un número se calcula multiplicando el número por 2, entonces:

El doble del dinero que Benjamín tiene es: 2xLa mitad de esa cantidad es: (2x)÷2= x

Entonces, la ecuación queda expresada como:

2x + x= 200

Resolviendo:

3x= 200

x=200÷3

x= 66.67

Finalmente, Benjamín cuenta con una cantidad de dinero de 66.67 pesos.

Aprende más sobre ecuaciones con estos ejemplos:

https://brainly.com/question/24581345https://brainly.com/question/24585838?referrer=searchResultshttps://brainly.com/question/24603998https://brainly.com/question/22694378?referrer=searchResults

please help 20 points lokijhgfdsawsedrftgyhujikjuhygtfrdeswa

Answers

Answer:

4 or -4

plz brainlist if right

Step-by-step explanation:

A shop sells 13 coffes and 65 hot chocolates. What is the ratio of coffes to hot chocolate?
PLS HELP

Answers

Answer:

thats easy  its 52 but you have to -

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:its the only ratio

Find the value of x. Tell what theorems you used.

Answers

Answer:

7 is isosceles so x= 55 bc the other angle is. 8 is isosceles so x= 68 and 9 is right angle all angles in a triangle add up to 180 so 180-90 /2 = 45 so x=45

When finding 65% of 90 are you finding the part, whole, or percent?

Answers

Answer:

you are finding the part

Step-by-step explanation:

definitely not whole

not percent because it is already given as a percent

How to solve 3x+12=2x

Answers

Answer: x=-12

Step-by-step explanation:

subtract 12 from both sides

3x=2x-12

subtract 2x from both sides

x=-12

Subtract 12 from both sides of the equation:

3x + 12 = 2x

3x + 12 - 12 = 2x - 12

Simplify:

3x = 2x - 12

Subtract 2x from both sides of the equation:

3x = 2x - 12

3x-2x = 2x  - 12-2x

Simplify:

combine like terms --> multiply by 1 --> combine like terms

x = -12 <-- ANSWER

Water drains from a 60 gallon bath tub at a constant rate. It empties in 5

minutes. What is the rate?

Help me pls

Answers

r = 60 gallons ÷ 5 min. = 12 gallons per minute

[tex]60 \div 5 = 12 \: gallons \: per \: minute[/tex]

Hope that will help:)

Help please? Its long division.

I will give 40 points to the person who gets it right or the first answer.

Answers

Answer:

x³+y³+z³=k

Explanation:

I talk, he talk, why you middle talk? You rotate the ground 4 times. You go and understand the tree.  I'll give you clap on your cheeks. Bring your parents and your mother and especially your father.  Close the window airforce is coming. I have two daughters and both are girls. Stand in a straight circle. Don't stand in front of my back

7,278 divided by 54 would be 134.78!


3x + y + z = 6
3x - 2y + 2z = 14
3x + 3y - 3z = -6

Answers

Let's solve for x.

3x+y+z=6

Step 1: Add -y to both sides.

3x+y+z+−y=6+−y

3x+z=−y+6

Step 2: Add -z to both sides.

3x+z+−z=−y+6+−z

3x=−y−z+6

Step 3: Divide both sides by 3.

3x3

=−y−z+6/3

x=−1/3y+−1/3z+2

Drag each label to the correct location on the image. Identify which equations have one solution, infinitely many solutions, or no solution.

Answers

Answer:

"1/2y+3.2y=20" One solution

"15/2+2z-1/4=4z+29/4-2z" Infinitely many solutions

"3z+2.5=3.2+3z" No solution

"1.1+3.4x+2=3.1+3/4x" infinitely many solutions

"4.5r=3.2+4.5r" No solution

"2x+4=3x+1/2" one solution

To determine the number of solutions for each equation in the given image, we need to analyze each equation separately. Let's go through each equation and identify whether it has one solution, infinitely many solutions, or no solution.

Equation 1: 3x - 2y = 6 Equation 2: 6x - 4y = 12 Equation 3: 2x - y = 3

To find the solutions, we can use the method of substitution or elimination.

First, let's consider Equation 1: 3x - 2y = 6

If we rearrange this equation to solve for y, we get: y = (3x - 6) / 2

Now, let's examine Equation 2: 6x - 4y = 12

If we rearrange this equation to solve for y, we get: y = (6x - 12) / 4 y = (3x - 6) / 2

Comparing the two equations for y, we can see that they are the same. This means that Equation 1 and Equation 2 represent the same line.

In other words, they have infinitely many solutions.

Any point on the line formed by these equations satisfies both equations simultaneously.

Moving on to Equation 3: 2x - y = 3 If we rearrange this equation to solve for y, we get: y = 2x - 3

This equation represents a line with a specific slope and y-intercept. Since it is different from the line represented by Equation 1 and Equation 2, we can conclude that Equation 3 has one solution.

This means that there is a unique point of intersection between Equation 3 and the other two equations.

In summary: - Equation 1 and Equation 2 have infinitely many solutions since they represent the same line.

- Equation 3 has one solution since it intersects the other two equations at a unique point.

To know more about equation here

https://brainly.com/question/29174899

#SPJ2

Which values of x make 3x +1/x = 1/x-3 true?

Answers

Answer: 0 because they are just in the opposite order, and order doesnt matter.

im srry if its wrong

Step-by-step explanation:

2x+3=15
x+y=6
work out the values of x and y

Answers

Answer:

x=6 and y=0

Step-by-step explanation:

1. 15-3=12

2. 12÷2=6 6=x

3. 6-6=0 0=y

Subtract 3 from 15 and positive 3, you’re left with 2x = 12. Now you divide both sides by 2 to get x alone. x=6 so y =0

solve pls brainliest

Answers

Answer:

4.9 = 490%

15.27% = .1527

Step-by-step explanation:

1. To convert a decimal into a percentage, you multiply the decimal by 100.

For example, if we convert the number 1.01 into a percentage by multiplying it by 100, we get 101%. When converting from percentage to decimal, you divide by 100.

2. (Solving)

4.9:

[tex]4.9 * 100[/tex] [tex]49 * 10[/tex] [tex]490[/tex] 490%

15.27%:

[tex]15.27/100[/tex] [tex]1.527/10[/tex] [tex].1527[/tex]

Therefore, the answers are 490% and .1527.

Answer: 490% and .1527

Step-by-step explanation:

Decimal to percentage: move decimal place 2 spaces to the left

Percentage to decimal: move decimal 2 space to the right

In the triangle below, which equation can be used to solve for x?

Answers

Answer:

4th option

Step-by-step explanation:

We require to find the 3rd angle in the triangle, that is

third angle = 180° - (75 + 50)° = 180° - 125° = 55°

Using the Sine rule in the triangle

[tex]\frac{x}{sin75}[/tex] = [tex]\frac{13}{sin55}[/tex] ( cross- multiply )

x × sin55° = 13 × sin75° ( divide both sides by sin55° )

x = [tex]\frac{13sin75}{sin55}[/tex]

Can someone help with this ? Will mark brainlest

Answers

Answer:

x = 24

Step-by-step explanation:

According to the vertical angles rule, x - 17 = 180 - (7x + 5) or x - 17 = 180 - 7x -5 and when we solve for x we get x = 24

Louisa found the average of her test grades using the expression

Answers

Answer:

numerator is a binomial

Step-by-step explanation:

What is the measure of ∠EGF? __
40°
55°
65°
80°


What is the measure of ∠CGF? __
50°
90°
95°
115°

Answers

Answer:

∠EGF = 1/2( 180 - 50) = 1/2(130) = 65

∠CGF = 180 - 65 = 115.

Step-by-step explanation:

Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day.


1 12

2 −36

3 108

4 −324

answers: 6,564
2,184
60
−2,184

Answers

Answer:

6,564

2,184

60

−2,184

Step-by-step explanation:

after hiking for two hours A hiker is an elevation of 3500 feet. hiker continues to climb at a rate of 1100 feet each hour write an equation in point slope form that shows the hikers elevation after x hours

Answers

I think the equation is 1100+x=3500

special right triangles please help me

Answers

Answer:

DE is 4 units long.

Step-by-step explanation:

These are the 30-60-90 triangle side relationships:

Short leg × 2 = hypotenuseShort leg × √3 = long legLong leg ÷ √3 = short legHypotenuse ÷ 2 = short leg

We are given the long leg and need to find the short leg. As seen above, the relation ship between those sides is:

[tex]S*\sqrt{3}=L[/tex]

or:

[tex]L \div \sqrt3 =S[/tex]

Given the long leg, divide it by √3 to find the short leg.

[tex]4\sqrt3 \div \sqrt3 = 4[/tex]

The short leg is 4 units long.

I need to find how many boxes can be shipped in an 18 hour period. I also provided the graph to help answer

Answers

Answer:

216 boxes

Step-by-step explanation:

you can see by the highlighted point that in 5 hours 60 boxes are shipped. that means 12 boxes per hour (60/5=12)

When you know this just multiply the hours by 12 and you get 12*18=216

Please help me with this math problem!! I will give brainliest!! No links :)

Answers

Answer:

Hello, your

Step-by-step explanation:

For this particular problem (with units in mind), the formula for arc length is

Arc length

=

2

π

r

(

x

360

)

,

Where

x

is the central angle measure and

r

is the radius of the circle.

You don't really have to work too hard to remember this formula. The arc length formula is easy to remember because it is just the circumference of the circle times the central angle over

360

.

Anyway, let's continue with the problem. We are given that the central angle is

60

, and that

r

, our radius, is

9

feet. So, let's plug that into our equation to find the arc length, in feet:

Arc length

=

2

π

r

(

x

360

)

Arc length

=

2

π

(

9

)

(

60

360

)

Now, you might be tempted to plug this in your calculator, but let's simplify it a little bit more.

Arc length

=

2

π

(

9

)

(

60

360

)

Arc length

=

18

π

(

1

6

)

Arc length

=

3

π

feet

So, if you wanted an exact answer, it would be that the arc length is

3

π

feet

. If you wanted an approximate answer, then you can type

3

times

π

in your calculator to get a value of about

9.425

feet

as you alternative answer.

I hope that helps!

123÷11= Whit explication please

Answers

Answer:

11.181

Step-by-step explanation:

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

1.

0      

1 1  1 2 3 .    

− 0      

1      

Divide 1 by 11. Write the remainder after subtracting the bottom number from the top number.

2.

0 1      

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1      

Bring down next digit 2. Divide 12 by 11. Write the remainder after subtracting the bottom number from the top number.

3.

0 1 1    

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2    

Bring down next digit 3. Divide 13 by 11. Write the remainder after subtracting the bottom number from the top number.

4. Put the decimal point.

5.

0 1 1 . 1  

1 1  1 2 3 . 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

6.

0 1 1 . 1 8  

1 1  1 2 3 . 0 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 90 by 11. Write the remainder after subtracting the bottom number from the top number.

7.

0 1 1 . 1 8 1

1 1  1 2 3 . 0 0 0

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2 0

−      1 1

9

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

End of long division (upto 3 decimal places).

123 ÷ 11 = 11.181

(Sorry If I made this to confusing)

123 divided by 11 is 11.18 your welcome :)

32+ (-12 7/8)=
Don't forget to explain

Answers

Answer:

19 1/8

Step-by-step explanation:

Look at the picture

,..............................................

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