The lines (m-2)x+y=2 and mx+2y=k intersect at (2,8). Find the values of m and k

Answers

Answer 1

Step-by-step explanation:

(m - 2)x + y = 2

y = -(m - 2)x + 2

8 = -(m - 2)(2) + 2

6 = -(m - 2)(2)

3 = -(m - 2)

-3 = m - 2

-1 = m

mx + 2y = k

2y = -mx + k

[tex]y = - \frac{1}{2} mx + \frac{k}{2} \\ y = \frac{1}{2} x + \frac{k}{2} \\ 8 = \frac{1}{2} (2) + \frac{k}{2} \\ 7 = \frac{k}{2} \\ 14 = k[/tex]


Related Questions

a jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. a marble is selected at random, not replaced, and then a second marble is selected. what is the probability of selecting a red marble followed by a green marble?​

Answers

Answer:

33/ 338

Step-by-step explanation:

Red = 6

Blue = 9

P.Red = 6/26 = 3/13

P.Green = 11/26

P. Both in turns = 3/13 * 11/26

= 33/338

hope this helps...

Answer:

0.09

Step-by-step explanation:

If c= 16, solve for b

Answers

Answer:

8√3

Step-by-step explanation:

cos30=b/16

equating:

√3/2=b/16

b=8√3

need this today, thanks!

Answers

Answer:

Step-by-step explanation:

just click on the photo down bellow

right here

Solve this system
2x-4y=14
3y+5x=9

Answers

Answer:

x=3, y=-2

Step-by-step explanation:

If 2x-4y=14, then we know that 2x=14+4y.  This means that x=7+2y.  If we substitute this into the next equation we get: 3y+(35+10y)=9.  This means that we have 35+13y=9.  If we subtract 35 from both sides we get 13y=-26.  This means y=-2. If you subsitute this in the first equation, we have 2x--8=14.  -- means + so you do 2x+8=14.  This means that x=3.

btw this is my first answer so sorry if its bad.

math pls help


dhdhdbdb​

Answers

I am not Johnny, so don’t try and test me

what's the answer to 2/5x + 10 = 30

Answers

Answer:

your answer would be 50

Step-by-step explanation:

answer is X equals 50

I need helppp!!!!!!!

Answers

i dont get that either lol pain. why does school have to be so hard

I believe the answer is 1.2 !!

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?

Answers

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]

Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
How much does Celeste get paid an hour?



help me pls

Answers

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

Okayy

Step-by-step explanation:

Since T is the centroid which is the center

Also T is a midpoint

Nt=tn=42

Hope this helps

Solve the system:
2x + 3y = 14
2x - 3y = -10

I need help

Answers

Answer:

x=1, y=4

Step-by-step explanation:

please help me, marking brainliest if correctly

Answers

Answer:

x = -11

Step-by-step explanation:

The measure at angle 2 should equal 80 degrees.

You are given that it is equal to x+91. So,

x+91 = 80

x = -11

Which best describes this fraction when converted to a decimal: 1/3

Answers

Answer:

1/3 to decimal is 0.333333 repeating decimal

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{In order to CONVERT FRACTION to a DECIMAL, you have}\\\large\text{to divide the numerator (the top number) from the denominator}\\\large\text{(the bottom number).}[/tex]

[tex]\bold{\dfrac{1}{3}= 1\div3\rightarrow 0.33333333333}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 0.33333333333}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


PLEASE HELP ILL MARK BRAINLIEST IF RIGHT THANKS!!
A teacher presented students with four tables.

Table 1
A 2-column table with 3 rows titled Table 1. Column 1 is labeled x with entries 2, 6, 8. Column 2 is labeled y with entries 1, negative 1, negative 2.
Table 2
A 2-column table with 3 rows titled Table 2. Column 1 is labeled x with entries 0, 2, 6. Column 2 is labeled y with entries 8, 4, negative 4.
Table 3
A 2-column table with 3 rows titled Table 3. Column 1 is labeled x with entries negative 4, negative 2, 2. Column 2 is labeled y with entries 4, 5, 7.
Table 4
A 2-column table with 3 rows titled Table 4. Column 1 is labeled x with entries negative 2, 0, 4. Column 2 is labeled y with entries 0, 4, 12.

Which table describes a linear function that has a slope of 2?

Answers

I’m sure it’s Table 4

Answer:

Tabel 4 :)

Step-by-step explanation:

Does anyone know the answer?

Answers

Answer:

We conclude that the area of the right triangle is:

[tex]A\:=p^2-2p-3[/tex]

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

Base = p+1Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            [tex]=\frac{1}{2}\left(p+1\right)\left(2p-6\right)[/tex]

Factor 2p-6: 2(p-3)

                                             [tex]=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}[/tex]  

Divide the number: 2/2 = 1

                                              [tex]=\left(p+1\right)\left(p-3\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

                                               [tex]=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)[/tex]

                                               [tex]=pp-3p+1\cdot \:p-1\cdot \:3[/tex]

                                                [tex]=p^2-2p-3[/tex]

Therefore, we conclude that the area of the right triangle is:

[tex]A\:=p^2-2p-3[/tex]

Hence, option A is correct.                                        

What is 5/3 as a percent

Answers

Answer:

%167

Step-by-step explanation:

5 divided by 3 is 1.67 so times that by 100 and you get %167

Answer:

166.666666666667%

Step-by-step explanation:

Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%

5-7(2-x)=31-4(2x-5) help pls

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5 - 7(2 - x) = 31 - 4(2x - 5)

Step 2: Solve for x

Distribute:                              5 - 14 + 7x = 31 - 8x + 20Subtract/Add:                        -9 + 7x = -8x + 51Add 8x on both sides:          -9 + 15x = 51Add 9 to both sides:             15x = 60Divide 15 on both sides:       x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5 - 7(2 - 4) = 31 - 4(2(4) - 5)(Parenthesis) Multiply:        5 - 7(2 - 4) = 31 - 4(8 - 5)(Parenthesis) Subtract:       5 - 7(-2) = 31 - 4(3)Multiply:                               5 + 14 = 31 - 12Add/Subtract:                      19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 4 is the solution to the equation.

PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?

Answers

Step-by-step explanation:

so the shape gonna be soo long that I wasted yo ur time

Answer: 5
Hope this helps

Jerry was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of money.


The equation that models this situation is y = 50x + 75, where y is the amount of money in the account and x is the number of deposits.


What does the y-intercept mean in this situation?


A. He was given $50 for his birthday.

B. He puts $75 in the account each month.

C. He puts $50 in the account each month.

D. He was given $75 for his birthday.

Answers

The y -intercept in this situation mean that Jerry was given $75 for his birthday

The equation below is a linear equation.

y = 50x + 75

A linear equation is an equation that has a single variable raised to the power of 1. 50x is raised to the power of 1

75 represents the constant. This is the money he deposited in the account. 75 is the y-intercept. The y-intercept is the value of the line y when it crosses the y-axis

50x is the slope of the line. - 50 is the amount he puts in every month and x represents month.

The slope of a line also known as the gradient of the line determines the steepness and direction of a line. If the slope coefficient is less than zero, the slope is negative and it would decline from left to right

y is the dependent variable. It is the total amount he would have at the end of each month.  y depends on the constant term (75), the number of months(x) and the amount he deposits every month (50)

at the end of :

one month, he would have : 50(1) + 75 = 125

two months, he would have : 50(2) + 75 = 175

You can learn more about y-intercepts here : https://brainly.com/question/12791065?referrer=searchResults

Answer:d

Step-by-step explanation:

Anna and Jose bought a pizza and ate 5 of the 8 slices. Zach and Sarah came over and Anna split the remaining slices evenly between them. How would you determine the fraction of the original pizza that Zach and Sarah each ate?

Answers

Answer:

24/2 slices

= 12/1

Step-by-step explanation:

Total slices of pizza = 8

Anna and Jose ate = 5

Slices of pizza remaining = 3

Zach and Sarah came over and Anna split the remaining slices evenly between them

That's is, 3 slices of pizza divided by 2 people

= 3/2

= 1 1/2 slices each

Each of Zach and Sarah ate 3/2 slices of pizza

fraction of the original pizza that Zach and Sarah each ate

= 3/2 of 8

= 3/2 × 8

= 24/2

= 12/1

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.

Number of Pages Elias Read during the Summer

Last Summer

140

220

190

180

190

This Summer

150

170

150

190

180

Which statement comparing the modes to the ranges is true?

Answers

Answer: A. The modes differ by 40 and the ranges differ by 40.

Step-by-step explanation:

The required, modes differ by 40 and the ranges differ by 40. Option A is correct.

To compare the modes and ranges of the given data, let's first find the modes and ranges.

Last Summer:

140, 220, 190, 180, 190

This Summer:

150, 170, 150, 190, 180

The mode is the value that appears most frequently in a dataset, while the range is the difference between the maximum and minimum values in a dataset.

The modes are as follows:
Last summer: The mode is 190 since it appears twice, more frequently than any other value.
This summer: The mode is 150 since it appears twice, more frequently than any other value.

The ranges are as follows:
Last summer: The range is 220 - 140 = 80.
This summer: The range is 190 - 150 = 40.

Now, let's compare the modes to the ranges:

Statement: The modes differ by 40 and the ranges differ by 40. Since the modes differ by 40 and the ranges differ by 40, the statement is true.

Therefore, the correct statement is:

A. The modes differ by 40 and the ranges differ by 40.

Learn more about the mode here:

https://brainly.com/question/30891252

#SPJ2

The given question is incomplete the complete question is given below:

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.

Number of Pages Elias Read during the Summer

Last summer: 140 220 190 180 190

This summer: 150 170 150 190 180

Which statement comparing the modes to the ranges is true?

A. The modes differ by 40 and the ranges differ by 40.

B. The modes differ by 20 and the ranges differ by 20.

C. The modes differ by 40, but the ranges differ by 20.

D. The modes differ by 20, but the ranges differ by 40.

4. Find the value of (a + b)) and (a - b), if a = 5 and b = 7.​

Answers

Answer:

if a=5 and b=7 so (a+b)=(5+7)=12

(a-b)=5-7= -2

Answer:

(a+b) =12

(a-b) =. - 2

Step-by-step explanation:

You will put the numbers given as a=5 and b=6

In to the value of (a+b) and (a-b)

So it will be

*(a+b) =(5+7)

=(12)

*(a-b) =(5-7)

=(-2)

what is the dividend yield on Stock A that sells 15$/share, when company A pays a quarterly dividend of $0.15 per share

Answers

Answer: The dividend yield on Stock A = 0.04

Step-by-step explanation:

Given: quarterly dividend = $0.15 per share

Annual dividend per share = 4 x 0.15 = $0.6  [1 year = 4 quarters]

Stock's price per share = $0.15

The computation of dividend is given by :-

Dividend yield = (annual dividend per share) divided by (the stock's price per share).

Here, Dividend yield = (0.6) ÷ 15 =  0.04

Hence, the dividend yield on Stock A = 0.04

which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function ? -5,7,-3,15,-1,23, ?, ?

Answers

(1,31)
Subtract 2 from x, add 8 to y

If I remember correctly, the answer is (1, 31).

Hope this helps! :3

if the m
180 degrees
90 degrees
74 degrees
37 degrees

Answers

Answer:

90 degress is a right angle

Step-by-step explanation:

so its m<90

Determine the number and type of solutions to the equation 5+x+10=0

Answers

The answer is -15

x = -15 because 10+5=15 and 15 + -15 = 0

A worker is stacking boxes.One stack has boxes that are 2 inches high. The other stack has boxes that are 5 inches high. At what height will the two stacks of boxes be equal in height?

Answers

Answer:

10 inches.

Step-by-step explanation:

One stack has boxes that are 2 inches high, then the height of this stack can be only multiples of 2 inches.

The other stack has boxes that are 5 inches high, then the height of this stack can be only multiples of 5 inches.

The height of both stacks will be the same for all the common multiples of 2 and 5.

Because 2 and 5 are prime numbers, all the common multiples between 2 and 5 will be direct products of these two numbers.

Like 2*5 = 10

is both a multiple of 2 and 5 (is the first common multiple)

Then we can use stacks of 10 inches.

Such that, for the stack where each box is 2 inches high, we need:

10in/2in = 5

5 boxes.

And for the stack where each box is 5 inches high, we will need:

10in/5in = 2

2 boxes.

x^2-4x+6=x+2 helpppp

Answers

Step-by-step explanation:

x² - 4x + 6 = x + 2

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

Therefore x = 4 or x = 1.

Answer:
x= 4, 1
hope this helps:)

Graph the function f(x) = 4x - 5.

Answers

Answer:

On (1.25,0) and (0,-5)

Step-by-step explanation:

The nucleus of an atom is composed of

Answers

Answer:

neutrons and protons

Step-by-step explanation:

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