the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co-ordinates of A and B​

Answers

Answer 1

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

-3k = -9

k = -9/-3

k = 3

Hence the value of k is 3


Related Questions

The diameter is 7.2. What is the circumference?

Answers

Answer:

22.62 cm exactly or limited to de precision of this calculator (13 decimal places). Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Answer:

22.6

Step-by-step explanation:

circumference is pi x diamter so:

7.2 x pi (3.142)

=22.61

round it so 22.6

Guys can you please help me and find what x is because lm confused

Answers

Answer:

a. is x=15

b. is x=17

Step-by-step explanation:

i hope this helps u

Plz helppppppppppppppp

Answers

Answer:

I think it's the third one sry if I'm wrong

it’s the first one if i’m not mistaken

The consumption of electricity in one area has increased historically at 7% per year. If it continues to increase at this rate indefinitely ,find the number of years before the electricity utility would to double the amount of generation capacity

Answers

Answer: 10.3 years

Step-by-step explanation:

To solve this you can use the Rule of 72.

This rule enables us to find out the amount of time it would take for a quantity to double if it is growing at a certain rate.

Formula is:

= 72 / Interest rate as whole number

= 72 / 7

= 10.3 years

Helppppppp meeeeee plzzzz

Answers

Non proportional I think. Wait for someone else to answer

Pls help me this is URGENT I will give brainleiest!!!

Answers

The answer is 8 units just did it

Substitution method
x=2y
2x+5y=4

Answers

Answer:

y=4/9

Step-by-step explanation:

Substitute 2y into the x

2(2y)+5y=4

4y+5y=4

9y=4

y=4/9

What is the area of this...

Answers

the area of the following shape is 50

find the perimeter!!!!!

Answers

Answer:

45 units

Step-by-step explanation:

combine like terms

w+2w+w-1+21-8+2w+6 = 8w-3

replace w with 3

8(6)-3 = 48 - 3 = 45

45

6+12+12+6+12+6-9

Thank me later

Matt tossed a coin 30 times. The results were 12 heads and 18 tails. What is the experimental probability of tossing heads?

Answers

Answer:

25%

Step-by-step explanation:

You can't determine what it is going to land on but this is the answer!

Ps.Im not completely sure no hate please :)

Please help me with this homework

Answers

Answer:

502.65 cubic feet

Step-by-step explanation:

volume of cylinder = πr²j

=π(4)²(10)

=502.65

no files or links give me a real answer please

Answers

Answer:

I think D.

Since it is mystery it would be a surprise, which could be any mix of something.

Step-by-step explanation:

Someone help me with this please

Answers

Answer:

A is 6 and B is 4

Step-by-step explanation:

hope it helped!!!

Please click to see the picture and help me solve!! Pls and ty
(I made it 25 points)

Answers

answer is A

Step by step exploration

Answer:

A

Step-by-step explanation:

It's one or the other, so the two on the graph won't connect, and each of them are greater/less than, NOT "or equal to" so both the circles would be closed. When thinking of these, forget about the x and just read greater than 5. On a graph the greater numbers are to the right, so the arrow would be pointing that way

If you vertically compress the absolute value parent function, f(x) = [X1, by a
factor of 5, what is the equation of the new function?
O A g(x) = [x - 51
B. g(x) = 1x1
C. g(x) = 5|X1
D. g(x) = (5x1

Answers

Answer:

your answer should be C.

Step-by-step explanation:

brainliest?

The transformation of the parent function f ( x ) = | x | by a compression of 5 units is given by g ( x ) = ( 1/5 ) | x |

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = | x |   be equation (1)

On simplifying , we get

when the function is stretched vertically by a factor , we get

Vertical stretch by a factor k: y = k × f(x)

And , when it is compressed by a factor of k = 5 units

The transformed function is g ( x ) = ( 1/5 ) | x |

Hence , the transformed function is g ( x ) = ( 1/5 ) | x |

To learn more about transformation of function click :

https://brainly.com/question/26896273

#SPJ7

DUE SOON HELP ASAP

The TV measures 39 inches tall, and the length of its diagonal is 80 inches. What is the width of the TV? Round your answer to the nearest tenth and label your answer.

Your answer:

Answers

We're assuming the TV is a rectangle, meaning all corners have right angles.

From the given information, we have a right triangle with a height of 39 inches, hypotenuse, of 80 inches, and an unknown base width.

Using Pythagorean's theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]b=\sqrt{c^2-a^2}[/tex]

c = 80 and a = 39

[tex]b=\sqrt{80^2-39^2}[/tex]

[tex]=\sqrt{4879}[/tex]

Using a calculator and rounding to the nearest tenth gives

[tex]\approx 69.8 \text{ inches}[/tex]

Let me know if you need any clarifications, thanks!

Using the numbers -4, 10, 8, 2, -3, -5, create two expressions that equal 6

Answers

Answer:

-4 + 10 and 8 - 2

Step-by-step explanation:

They both equal to 6

PLSSSS HELPP, Sharon has collected donations of $4.40, $3.12, $8.00, and $6.22 to help buy books for the new library. What is the mean (average) amount of donations she has collected?

Answers

Answer:

5.43500

Step-by-step explanation:

Solve for n.
(8^n)^3 = 8^6
n=

Answers

Answer:

2

Step-by-step explanation:

[tex](x^{y})^z{}=x^{y*z}\\8^{3n}=8^6\\n=2[/tex]

What is the Y-intercept of the following quadratic graph?
(1 Point)

Answers

Answer: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The red graph intersects the y-axis at (0, 1).  This is the "y-intercept."

the mean of 5 number is 11 the numbers are in ratio1:2:3:4:5 find the smallest number​

Answers

Answer:

3 2/3

Step-by-step explanation:

If the mean is 11 and there are 5 numbers then their sum is 5 × 11 = 55 We have the ratio of parts being a : b : c : d : e → 1 : 2 : 3 : 4 : 5 so the total count of parts is 1 + 2 + 3 + 4 + 5 = 15. a-1/15x55=55 divided by 5/ 15 divided by 5=11/3=3 2/3

Sharif drove 295 miles from St. Louis to Detroit at an
average speed of 65 mph. Which equation can be
used to find the time of the trip (x) in hours?

Answers

You did not provide a list of equations for us to select from.

Let me see if I can put together.

Distance = rate times time (in hours).

Let x = time of the trip in hours.

D = rx

Let D = 295 miles.

Let r = 65 mph.

Here is your equation: 295 = 65x

(Pls help i need this ASAP I got 10 min left) Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis?

Answers

Answer:

they will have the same y-coordinate from the point it was reflected because it is reflected over the y-axis.

but you didn't provide the following statements, so i do not know.

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

When a point is reflected off of the y-axis both points change.

non reflected [2,-3]

reflected [-2,3]

Help needed! - Geometry - 15 points - One question -

Answers

Answer: m<VUT= 70 degrees

Step-by-step explanation:

120= 50+ ?

?=70

Carly’s birthday bouquet has 8 pink roses and 24 yellow roses. What is the ratio of yellow roses to pink roses?

Answers

Answer:

5:3

Step-by-step explanation:

What is the relationship between the two angles and the
measure of the missing angle?
b
39°

Answers

Answer:

When 2 angles are put together, they must have a total of 180 degrees.

Step-by-step explanation:

180-39=141

The measure of the missing angle is 141 degrees.

-1/4a - 4 =4
what does a =

Answers

Answer:

a = -32

Step-by-step explanation:

-1/4a - 4 =4

Add 4 to each side

-1/4a - 4+4 =4+4

-1/4a = 8

Multiply each side by -4 to isolate a

-1/4 a * -4 = 8 *-4

a = -32

A triangle has sides with lengths of 5 feet, 9 feet, and 11 feet. Is it a right triangle?

Answers

Answer:

No

Step-by-step explanation:

[tex]5^{2} = 25\\9^{2} = 81\\11^{2} = 121\\25 + 81 = 106[/tex]

therefore it doesn't coenide with pythagorian theorem

Find the solution to the system of equations.

8x – 4y = 16
8x + 4y = 16

x= ___
y= ___

PLS HELP

Answers

Answer:

x =2, y =0

Step-by-step explanation:

First we can add the equations to get rid of the y terms in each.

Adding them results in 16x = 32

Dividing by 16 gives us x=2

Substituting this back into equation 1 gives us 8(2) -4y =16

Simplifying,

16 - 4y =16

-4y = 0

y = 0

What is the yintercept of the graph of the equation y = 2(4*)?
O A. (0,4)
B. (0,6)
C. (0,2)
D. (0,8)

Answers

Answer:

[tex]\boxed {\boxed {\sf C. \ (0,2)}}[/tex]

Step-by-step explanation:

The y-intercept of a graph occurs when the function cross the y or vertical axis. This is also where x is equal to 0.

Therefore, we can substitute 0 in for x and solve for y.

[tex]y= 2(4^x)[/tex]

[tex]y= 2(4^0)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent. Any number raised to the power of 0 is equal to 1.

[tex]y= 2(1)[/tex]

Multiply.

[tex]y=2[/tex]

The y-intercept is 2. So, when x=0, y=2.

Coordinate points are written as (x, y). The y-intercept is (0,2).

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