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

Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,
-

Answers

pretty sure it is ...37, 49

A football team won 75% of 60 games in a season. How many games did they win?

Answers

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.

function or not a function?

Answers

Answer:

not a function

Step-by-step explanation:

there are two of the same inputs 4 and 4 that will cause it to not be a function

Anybody wanna help volunteer?

Answers

Hi Hi Hi Hi Hi Hi Hi Hi

HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.

Answers

The answer is C. 5^4

Helppppp meeeè passé

Answers

The correct answer is D

Answer:

d

Step-by-step explanation:

i'll mark brainliest just tell me how to.

Answers

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]

4. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is

leaving the intersection at a rate of 2 feet per second and bike B is leaving the

intersection at 3 feet per second. How fast is the distance, in feet per second between

them changing after 5 seconds?

Answers

Answer:

[tex]\sqrt{13}[/tex]

The rate of change of distance between two cars at the given time is required.

The required rate of change is [tex]\sqrt{13}[/tex] feet/s

Rate of change

a = Distance covered in 5 s by bike A = [tex]2\times 5=10\ \text{feet}[/tex]

b = Distance covered in 5 s by bike B = [tex]3\times 5=15\ \text{feet}[/tex]

c = Distance between A and B in 5 s = [tex]\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}[/tex]

Applying Pythagoras theorem

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

Differentiating with respect to time

[tex]2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}[/tex]

Learn more about rate of change:

https://brainly.com/question/8728504

Is this right? 2(10×2) + 2(10×3)=2(20)+2(6)+2(30)=40+=112 Square inches.​

Answers

Answer:

Yes this is correct

Step-by-step explanation:


Hey can someone please help me with this? I’d appreciate if you put steps down and the answer! Tysm.

Answers

What’s the actual problem?

Answer:

x = 21.9317122

Step-by-step explanation:

20² + 9² = x²

400 + 81 = x²

481 = x²

square root both answers and that's your answer

Which of these tables represents a linear function?
х
3
4.
5
6
у
3
4
6
7
х
O 01 AW
у
6
5
4.
3
у
х
3
4.
5
6
NO LOCO
X

Answers

Answer:

The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1

Step-by-step explanation:

I hope this helps :)

A florist is looking to make arrangements of red and white roses for bouquets. The flowers are priced so that she makes a profit of $1.25 per red rose and $1.00 per white rose in a bouquet. Her goal is to make at least $1000 from sales of these bouquets. Based on her available time and supplies of red and white roses, she is considering two possibilities: 130 bouquets of 4 red roses and 3 white roses each or 110 bouquets of 3 red roses and 5 white roses each. Will either of these possibilities turn the profit the florist is seeking?

Answers

Answer:

Option 1

Step-by-step explanation:

Option 1

130 bouquets of 4 red roses and 3 white roses each. Profit is:

130*(4*$1.25 + 3*$1) = $1040 > $1000

Option 2

110 bouquets of 3 red roses and 5 white roses each. Profit is:

110*(3*$1.25 + 5*$1) = $962.50 < $1000

As we see option 1 is bringing target profit so should be her choice

Answer:

30 bouquets of 4 red roses and 3 white roses each.

Step-by-step explanation:

X - 4 <-4+ what’s the answer?

Answers

Answer:

Step-by-step explanation:

the answer is x<0

because

x-4+4<-4+4

simplify the expression​

Answers

Answer:

24/64..........................

Step-by-step explanation:

hope this helped

What is the equation of the top line graphed below?

Answers

Answer:

I think it has to y=mx+b

Step-by-step explanation:

1 1/2 + 3 2/3 + 1 7/9

Answers

Answer:

125/18

Step-by-step explanation:

1 1/2+ 3 2/3+ 1 7/9 =125/18

Answer: 125/18

Step-by-step explanation:

2. Simplify the following fraction:
*
23
4

Answers

5 3/4 Hope this helps

Which of the following are composite numbers check all that are true

Answers

Answer:

33, 49, and 21.

Step-by-step explanation:

its 33, 49, and 21

hope this helps

WILL GIVE BRAINLIEST!!!!!!!!!!
A sandcastle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.
The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?

Answers

Answer:

A 2808

Step-by-step explanation:

From top to bottom

The top one is 9

Second layer is 16

Third is 23

Bottom is 30

I did 9 x 6, 16 x 6, 23 x 6, 30 x 6 = 54, 96, 138, 180

Added all of them up and got 468 then I times it by 6 and got 2808

Heyo! ;D

The volume of the sandcastle above is 10,596 cubic inches.

Hope this helped! If so, please lmk! Tysm and good luck!

2y=x
3x+3y=-18
please help

Answers

(-4,-2) in point form, x=-4, y=-2 in equation form

Mr. Gregson packs ornaments into boxes. Each box holds eight ornaments. Which representation displays the relationship between x, the number of boxes packed, and y, the number of ornaments packed?

Answers

Answer:

y = 8x

Step-by-step explanation:

Given that :

Ornanment are packed in boxes

Number of ornament per box = 8

x = number of boxes packed

y = Number of ornaments

Number of Ornanments packed = (Number ornaments per box * number of boxes packed

y = 8 * x

y = 8x

Kathryn spent $12 on a magazine and some notepads. If the magazine cost $2 and each notepad cost $5, then how many notepads did she buy?

Answers

each notepad costs $5 therefore she bought 2 because 5+2=10.

V = BH - 5
How do I solve for b in this equation

Answers

Answer:

[tex]B=\frac{V+5}{H}[/tex]

Step-by-step explanation:

Add 5 to both sides:

V+5=BH

Divide both sides by H:

[tex]B=\frac{V+5}{H}[/tex]

Please help. I need to refresh my mind of this problem and a few more if you don't mind

Answers

Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

-7k + 6k2 = 33
solve using the quadratic formula

Answers

Answer:[tex]6k^2-7k=33\\-33 -33\\6k^2-7k-33=0\\a=6\\b=-7\\c=-33\\\\k=-(-7)+/-\sqrt{-7^2-4(6)(-33)} /2(6)\\\\k=\frac{7+/-\sqrt{841} }{12} \\k=3,-11/6[/tex]

Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down

Answers

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

If the radius is 11 mm, what is the height? Round the answer to the nearest tenth of a millimeter. 3.8 mm 3.8 mm3 14.7 mm 14.7 mm3

Answers

Answer: the answer is C. 14.7 mm

Step-by-step explanation:

Just took the quiz :)

Answer:

It's 14.7

Step-by-step explanation:

I just did the assignment(:

6x+7y+9
24xy
9x+7y+8
9x+7+6+2
5x+4x2y+5y+4+4

Answers

Answer:

40+33x+24xy

chile who gave you this problem?

Write the equation of the line that passes through the given points.

(0,- 4) and (2,3)

The equation of the line is( )​

Answers

Answer:

[tex] \frac{y - ( - 4)}{x - 0} = \frac{3 - ( - 4)}{2 - 0} \\ \frac{y + 4}{x} = \frac{3 + 4}{2} \\ \frac{y + 4}{x} = \frac{7}{2} \\ 2(y + 4) = 7x \\ 7x = 2y + 8 \\ 7x - 2y = 8 \\ 2y = 7x - 8 \\ \boxed{y = \frac{7}{2}x - 4}[/tex]

y=(7/2)x-4 is the right answer.

Two bags contain marbles. Bag A contains 112 marbles, and Bag B contains 140 marbles. What percent fewer marbles does Bag A have than Bag B?

Answers

Answer:

20%

Step-by-step explanation:

sorry if i am wrong

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