What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?

Answers

Answer 1

Answer:

y+3=2/3(x-9)

Step-by-step explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!

Answer 2

Answer:

y = 2/3 - 9

Step-by-step explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same.  substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9


Related Questions

does anyone know how to do this​

Answers

Answer:

Six over Seven

Step-by-step explanation:

Answer:

six sevenths

Step-by-step explanation:

6/7 in words is six sevenths

Please answer this for me! :(



A Cylindrical tank has a diameter of 3.8 m and length 12.7 m. What is the surface area of the tank?

(Show all steps and round accurately)

Answers

Step-by-step explanation:

[tex]cylinder \: area \: = (2 \times \frac{\pi}{4} \times {dia}^{2} ) + (\pi \times dia \times hieght) \\ = (2 \times \frac{\pi}{4} \times {3.8}^{2} ) + (\pi \times 3.8 \times 12.7) \\ = 22.7 + 151.5 \\ = 174.2 \: {m}^{2} [/tex]

what is 6 times 12 + 5

Answers

Answer:77

Step-by-step explanation:

6*12+5

72+5

77

the answer is simply 77

The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is the length of a straight line between Callie’s house and the grocery store?

Answers

Answer:

0.6     is the answer

Step-by-step explanation:

Answer:

[tex]3[/tex] Miles

Step-by-step explanation:

[tex]1.8^2+2.4^2=c^2[/tex]

[tex]9=c^2[/tex]

[tex]9-c^2=c^2-c^2[/tex]

[tex]-c^2+9=0[/tex]

[tex]-c^2+9-9=0-9[/tex]

[tex]-c^2=-9[/tex]

[tex]\frac{-c^2}{-1} = \frac{-9}{-1}[/tex]

[tex]c^2=9[/tex]

[tex]c=+\sqrt{9}[/tex]

[tex]c=3[/tex]

4.
Find the range.
4.7 6.3 5.4 3.2 4.9
O
-3.1
-9.5
9.5
O
3.1

Answers

Answer:

[tex]3.1[/tex]

Step-by-step explanation:

Range = biggest no. - smallest no.

Range = [tex]6.3-3.2[/tex]

Range = [tex]3.1[/tex]

Answer:

3.1

Step-by-step explanation:

Range is the difference between the highest and the least number in a set.

Out of all the numbers given, 6.3 is the highest and 3.2 is the least. When, I found the difference of those two numbers, the difference was 3.1. :)

Please answer the 16th qs

Answers

Answer:

p = 13

Step-by-step explanation:

When a polynomial f(x) is divided by (x + h) then the remainder is f(- h)

Here both polynomials are divided by (x + 1)

Evaluate them both for x = - 1

3(- 1)³ - 5(- 1)² - 4(- 1) + p, that is

- 3 - 5 + 4 + p

= p - 4 → A

6(- 1)³ + p(- 1)² + 9(- 1) + 5, that is

- 6 + p - 9 + 5

= p - 10 → B

Given that A = 3B, then

p - 4 = 3(p - 10)

p - 4 = 3p - 30 ( subtract 3p from both sides )

- 2p - 4 = - 30 ( add 4 to both sides )

- 2p = - 26 ( divide both sides by - 2 )

p = 13

Please help me it’s geometry

Answers

Answer:

(-5,4)

Step-by-step explanation:

A: (5,4)

Reflect it across the y axis would mean you negate the x value

So if you reflect it across the y axis, 5 would become -5

Answer:

B

(-5,4)

Step-by-step explanation:

square 1 (+,+) square 2 (-,+) square 3 (-,-) square 4 (+,-) Find the coordinates is (5,4) but reflect the y-axis so it goes to square 2 where the x-axis turns in to a negative

during a practice sash drank 2 1/2 pints of water and on the way home she drank 1/2 cup of water how much water did she drank in total

Answers

Answer:

5 1/2 cups

Step-by-step explanation:

1 pint = 2 cups

(2 1/2)(2) = 5

5 + 1/2 = 5 1/2

I need to know how to do the following equation for system of equations (Aka Alegbra) I need to know how to do this: 5x+9y=23 -2X+y=23 I have a test tomorrow so if someone can help me I'd really appreciate it I need a step by step explanations please! Will 100% give brainlist!

Answers

Answer:

(-8,7)

Step-by-step explanation:

5x+9y=23

-2x+y=23

 Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1

just like -2x+y=23 has the variable 1y

 Step 2. solve for y in the second equation

-2x+y=23

+2x       +2x

y=2x+23

Step 3. rewrite your equation

5x+9y=23

y=2x+23

 Step 4. replace your y variable with the expression you just made

5x+9(2x+23)=23

Step 5. Distribute the 9 and solve

5x+18x+207=23

23x+207=23

23x=-184

x=-8

Step 6. enter your x value into the equation you solved in step one

y=2(-8)+23

y=-16+23

y=7

Step 7. determine if consistent or inconsistent

Because you have a x and y you have an consistent

...you can also graph it

How to rearrange the Pythagorean theory

Answers

It’s what I think you’re saying is right, you can swap a and b in the Pythagorean theory. Because you’re just adding a and b which equals c. Squared those are of course

If y(x) = 2x^2 +sqr/5(x-2), complete the following statement:

f(6) =

Answers

Answer:

Step-by-step explanation:

Just plug in 6 as x.

[tex]f(6)=2(6)^2+\sqrt{5} *(6-2) \\or\\f(6)=2(6)^2+\sqrt{5(6-2)}[/tex]

Depending on how the equation is written (I got confused so I gave both answers of what I thought both versions were) this is the answer.

[tex]72+4\sqrt{5} =2(6)^2+\sqrt{5} *(6-2) \\or\\72+2\sqrt{5} =2(6)^2+\sqrt{5(6-2)}[/tex]

I can’t figure out the answer to this, does anybody know?

Answers

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = [tex]\frac{5}{(x-2)}[/tex] and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = [tex]\frac{5}{(x-2)}\times (x+3)[/tex]

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

Find the area of the shape.

Answers

Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

Which of the following describes the graph of y=3\sqrt[3]{27x-54}+5 compared to the parent cube root function?

Answers

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Brainliest question please help please help me and plz show your work

Answers

Answer:

A

Step-by-step explanation:

since the radius is 12, the most the circle expands out towards is 15 for x and 15 for y. (-6,-5) easily fits inside it.

What is the nth rule of the quadratic sequence 4,15,30,49,72,99,130

Answers

Answer:

2(n²)+5n-3

Step-by-step explanation:

4,15,30,49,72,99,130

1st you find the difference between the numbers: (e.g. difference between 4 and 15 is 11)     11,15,19,23,27,31 Then you find the second difference between them.     4,4,4,4,4,4

If you divide the second difference by 2, you will get the value of a. 4 ÷ 2 = 2

So the first term of the nth term is 2n²

Then you have to do what do you do to get from 2n² to 4,15,30,49,72,99,130

I really need help with this.

Answers

Answer:

radius is 3, center is (4,-5)

Step-by-step explanation:

when you graph this, put the first point at (4,-5) and then expand three squares up.

Which of the following is point-slope form?
y = x
y = mx + b
y-y1 = m(x - x1)
AX + By = C

Answers

y-y1 = m(x - x1) is in point slope form
Point slope form is C.

2) Rearrange the Pythagorean Theorem to solve first for c and then y.

Answers

Answer:

[tex]x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2[/tex]

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

[tex]-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)[/tex]

Which tuns it into:

[tex]x^2=z^2-y^2\\y^2=z^2-x^2[/tex]

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

x = -5/3 and y = -1

Step-by-step explanation:

write it as a system and simplify

-4 for the first equation (in the photo but when putting it into a system of equations it would be 2nd)

So it's

-3x-2y=7

-3x+2y=3

then it's -6x=10

then divide oth sides by -6 to get x then plug that into whatever equation and solve for y.

i hope this is right and helps


It is worked out that if 3 ladles full of soup are given to each person,
150 people can be fed.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?

Answers

Answer:

it is worked out that if 5 ladles full soup are given to each person 300 at a time

Answer:

90 people

Step-by-step explanation:

Let's find the total number of ladels of soup.

1 person ----- 3 ladles

150 people ----- 3 ×150= 450 ladles

The amount of soup cooked does not change. Since now more soup is given to each person, the number of customers fed would decrease.

Number of people fed

= 450 ÷5

= 90

Read below i need some help please

a chart contains information on 20 students.

boys left handed=3
boys right handed=9
girls left handed=2
girls right handed=6
what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process

Answers

Answer:

8/20

Step-by-step explanation

boys left handed=3

boys right handed=9

girls left handed=2

girls right handed=6

what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process

girls left handed: 2

girls right handed: 6

6+2=8

total all students 20

8/20

According to a survey done at your school, about 42% of all the female students participate in 2 sport seasons. You randomly ask 5 female students at your school how many sport seasons they participate in. What is the probability that at least 3 of the 5 female students surveyed participate in 2 sport seasons? Show your work.

Answers

Answer: 0.353

Step-by-step explanation:

We know that 42% of all the female students participate in 2 sports this season. (58% is the percent that did not)

This means that if we select a random student, there is a 0.42 probability that the student did participate in 2 sports this season.

Other thing that i will use is that, if we have a group of N objects, and we want to create a group of K objects out of the N, the number of combinations is:

[tex]c = \frac{N!}{(N - K)!*K!}[/tex]

Now, out of 5, we want to find the proability that, at least 3 of them, did participate in at least 2 sports this season.

The probability that all 5 of them participated, is equal to the product of the individual probabilities. (so N = 5, and K = 5)

P = (0.42^5)*1 = 0.013

Now, if only 4 of them did participate (N = 5, k = 4), the probability is equal to:

P = (0.42^4)*(0.58)*5!/4! = (0.42^4)*(0.58)*5 = 0.09

The probability for only 3 is: (N = 5 and K = 3)

P = (0.42^3)*(0.58^2)*5!/(3!*2!) = (0.42^3)*(0.58^2)*(5*4/2) = 0.25

Then the total probability is:

P = 0.013 + 0.09 + 0.25 = 0.353

What are the solutions of x2 +6x-6= 10?
O x=-11 or x=1
O X=-11 or X=-1
O X=-8 or X=-2
O X=-8 or X= 2

Answers

Answer:

x= -8    x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0  x-2=0

x= -8    x=2

Answer:D

Step-by-step explanation:


Solve the inequality.
2(4+2x)25x+5

Answers

2(4+2x)25x+5 = 300x + 5
2(4+2)•25x+5
2(4+2)•25x=300x
= 300x + 5

What is the range of the set of data used to create this box plot ?

Answers

Answer:

The range of the box plot is 10.

Step-by-step explanation:

To find the range subtract the highest value to the lowest value.

Since 13 is the highest and 3 is the lowest the answer is 10

Hope this helps.

Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the yintercepts are different. How
many solutions would you expect for this system of equations?
A.0
B.cannot be determined
C.1
D.infinitely many

Answers

Answer:

A. 0

Step-by-step explanation:

y= mx+b

with same slope, m= same for both

if b  is different, then the lines are parallel

so no solution, option A. 0

Can someone please explain to me how to find y=Mx+b? We’ve learned this a long time ago and I kinda forgot .. can’t find a solution anywhere else :/

Answers

Answer:

y = mx + b equals y = the slope of the line(x) + the y-intercept

First find the slope of the line using rise/run, which is 12/-2 so the slope is -6

To find the y-intercept, you need to look for the point where x = 0 (or the point that lies on the y-axis), which is when y = -4 so the equation is:

y = -6x - 4

PLzz HeLP Moi x(y-xy), where x= -5 and y= -2

Answers

Yes the pizza is x-22

WILL MARK BRAINIEST!!! 35 POINTS!!! The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k? K=1/7 K=-1/7 k = 7 k = −7 Determine the equivalent system for the given system of equations. 4x − 5y = 2 10x − 21y = 10 4x − 5y = 2 3x − y = 4 4x − 5y = 2 24x − 47y = 22 4x − 5y = 2 10x + 3y = 15 4x − 5y = 2 14x + 26y = 12 PLZ SHOW WORK!!! I NEED THE HELP!!!!

Answers

Answer:

Step-by-step explanation:

First one is 7, since there is a minus sign by k, shifting the line 0.5x seven units down

the second one is too confusing due to spacing to find the answer

Answer:

the person that answer is correct

Step-by-step explanation:

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