Find the value of k so that x = -1 and y =-1 is a solution of the linear equation 9kx + 12ky = 63

Answers

Answer 1

Answer:

k = - 3

Step-by-step explanation:

Given

9kx + 12ky = 63

Since x = - 1 and y = - 1 are solutions of the equation

Substitute x = - 1 and y = - 1 into the equation and solve for k

9k(- 1) + 12k(- 1) = 63, that is

- 9k - 12k = 63

- 21k = 63 ( divide both sides by - 21 )

k = - 3


Related Questions

Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2 D. -2 3 (4p - 2) = -6 (1 - 2p) A. no solution B. all real numbers C. 0 D. -6 5 ( x- 2) = 3 (x + 6) -8 A. 10 B. 1 C. -1 D. 0 6 (2x-3) = - (x - 9) + 4x A. -6 B. -3 C. 9 D. 3

Answers

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, B. 10 is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of all real numbers.

Ramesh is a cashier in a canara bank. He has notes of denomination of Rs 100,50,10 respectively. The ratio of number of these notes is2:3:5respectively. The total cash with ramesh is 400000.How many notes of each denomination does he have

Answers

Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Step-by-step explanation:

From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.

Total ratio = 2+3+5 = 10

100Rs = 2/10 × 400000

= 80,000

50Rs = 3/10 × 400000

= 120,000

10Rs = 5/10 × 400000

= 200,000

Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

How many imaginary roots can an equation have?

Answers

Answer:

Step-by-step explanation:

if it is an even degree polynomial then it can have imaginary roots =degree of polynomial.

if it is an odd degree polynomial (say 2n+1 degree) then it can have at the most 2n imaginary roots.

Solve: 2x – 3 = 5(x + 6)

Answers

Answer:

-11 =x

Step-by-step explanation:

2x – 3 = 5(x + 6)

Distribute

2x -3 = 5x + 30

Subtract 2x from each side

2x -3 -2x = 5x -2x +30

-3 =3x +30

Subtract 30 from each side

-3-30 =3x+30-30

-33 = 3x

Divide by 3

-33/3 = 3x/3

-11 =x

Answer:

x=(-11)

Step-by-step explanation:

2x - 3=5(x+6)

2x - 3 = 5x + 30

    +3          +3

2x = 5x + 33

-5x   -5x

-3x = 33

(divide both sides by -3)

x=(-11)

I need the answer for this and how you got it please!!!

Answers

Answer:

Correct answer is B.

Step-by-step explanation:

They are equal.

Charlotte’s essay on pigs was 824 words in length. Wilbur’s essay was only 360 words long. What is the ratio of Charlotte’s essay to Wilbur’s?

Answers

Answer:

824/360 or 824:360

Step-by-step explanation:

quick mafs

Answer:824/360,p or 824:360 or 824 to 360

Help please........................

Answers

Answer:

70,000$

Step-by-step explanation:

Thanks so much for a word document

Answer:

What do you need,and what's the question

The ratio of boys to girls in a class is 4:5
A. What fraction of the class are boys?
B. What fraction of the class are girls?

Answers

Answer:

Boys = 4/9

Girls = 5/9

Step-by-step explanation:

You add the ratio parts to find what the fraction is over.

5 + 4 = 9

Then you just need to know which part is boys and which is girls.

Boys to Girls = 4:5

Therefore Boys = 4/9 and Girls = 5/9.

Fraction of the class are boys = 4/9

Fraction of the class are girls = 5/9

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

ratio of boys to girls = 4:5

Now, total of the ratio is = 4+5 = 9

So, fraction of the class are boys = 4/9

and, fraction of the class are girls= 5/9

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

Ana tiene 14 años menos que Beto y ambas edades suman 56 años

Answers

42 because 56 mines 14 equals 42

What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8

Answers

Answer:

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Step-by-step explanation:

(x – 5)^2 + 3(x – 5) + 9 = 0

This is a quadratic equation in x - 5.

Let u = x - 5, then the quadratic equation becomes:

u^2 + 3u + 9 = 0

We can use the quadratic formula to solve for u.

[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]

[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

Since u = x - 5, now we substitute x - 5 for u and solve for x.

[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Answer:

x = 7+/-3i sqrt3 over 2

Step-by-step explanation:

Ricky has found that for every belt buckle he sells, he makes 7 + bx 4 dollars in profit, where b is the number of belt
buckles sold. How much profit will Ricky make by selling 52 belt buckles?

Answers

Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

Jack and Jill go up a hill, the
distance they travel is 75m and
it takes them 2 minutes and 30
seconds, what was their average
speed in m/s?

Answers

Answer:

0.5m/s

Step-by-step explanation:

75m/150s(2min 30 sec)

?m/s

So,

75m÷150/150s÷150

0.5m/s

plzz mark brianliest if its correct

Which value of x makes this inequality true?
X + 9 < 4x

Answers

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

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

Answers

Answer:

32 polo, 28 measles

Step-by-step explanation:

4p + 2m = 184  <-- doses

p + m = 60        <-- vaccines

solve:

4p + 2m = 184

-2p - 2m = -120     <-- multiplied both sides by -2

------------------------

2p = 64

p = 32

plug back in:

32 + m = 60

p = 32

m = 28

Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!

Answers

Answer:

smaller x = -5

larger x = 5

Step-by-step explanation:

-x^2 - 8 = -33

Add 8 to each side

-x^2 - 8+8 = -33+8

-x^2 = -25

divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

x = -5, x = 5

Answer:

[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]

Step-by-step explanation:

[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

WILL MARK BRAINIEST!!! 25 POINTS!!! PLZ HELP ME! Determine the equivalent system for the given system of equations.

Answers

Answer:

4x-5y=2, 24x-47y=22

Step-by-step explanation:

I mean I would write out all the steps for the answers if I wasn't feeling lazy.

4x-5y=2

10x-21y=10

[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]

Here you can have the answers:

4x-5y=2

3x-y=4

[tex]x=\frac{18}{11} , y=\frac{10}{11}[/tex]

4x-5y=2

24x-47y=22

[tex]x=-\frac{4}{17},y=-\frac{10}{17}[/tex]

4x-5y=2

10x+3y=15

[tex]x=\frac{81}{62},y=\frac{20}{31}[/tex]

4x-5y=2

14x+26y=12

[tex]x=\frac{56}{87},y=\frac{10}{87}[/tex]

It seems that 4x-5y=2, 24x-47y=22 is the correct answer.

A ladder is leaning against a wall. The length of the ladder is 15 meters and
the base of the ladder is placed 9 meters away from the wall. How far up
the wall will this ladder reach?

A.) 6 m
B.) 10 m
C.) 12 m
D.) 18 m​

Answers

Answer:

the ladder is “c2” 15 X 15 =225

9 feet out is still squared to 81.

So c2 (225) - b2 (81) is 144 (a2)

Sqrt of 144 is 12. The ladder will be 12′ up the wall.

Answer: 12m

Step-by-step explanation:

P.S I'm emo

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

Answers

Step-by-step explanation:

see the attachement

hope it helps you....

f(x)=(x-3)^2+5 plot the vertex and the axis of symmetry of this function.

Answers

Answer:

The vertex is located at (3,5)

The axis of symmetry is x = 3

The plot is in the image attached

Step-by-step explanation:

First we need to find the vertex of the quadratic function. We can find the x-coordinate of the vertex using the formula:

x_v = -b / 2a

Where 'a' and 'b' are coefficients of the quadratic equation in the model:

ax^2 + bx + c = 0

Then we need to expand the terms of f(x):

f(x) = (x-3)^2 + 5

f(x) = x^2 - 6x + 9 + 5

f(x) = x^2 - 6x + 14

So we have a = 1 and b = -6

Then the x-coordinate of the vertex is:

x_v = 6 / 2 = 3

We can use this value in f(x) to find the y-coordinate of the vertex:

f(x_v) = 3^2 - 6*3 + 14 = 5

So the vertex is located at (3,5)

The axis of symmetry is the vertical line traced in the vertex, so it is x = 3

The plot is in the image attached. The circle at (3,5) is the vertex, and the blue line is the axis of symmetry.

if a=3 then what does 5(a+5) equal show all steps

Answers

Answer:

40

Step-by-step explanation:

5(a+5)

Let a =3

5(3+5)

Parentheses first

5(8)

Multiply

40

Answer:

40

Step-by-step explanation:

5(a+5)

5(3+5)

5(8)

40

Multiply the following complex numbers:
(5+3i)(4+ 2i)
A. 14-22i
O B. 14+ 22i
O C. 26 - 22i
O D. 26 + 22i

Answers

Answer:

B, or 14 + 22i.

Step-by-step explanation:

When multiplying complex numbers, use the FOIL method.

Therefore:

(5 + 3i)(4 + 2i)

FOIL the equation:

5×4 + 5 × 2i + 3i × 4 + 3i × 2i

Simplify. Remember that i² = -1.

20 + 10i + 12i -6

Combine like terms:

14 + 22i

Therefore, the solution is B, or 14 + 22i.

Write the equation for the linear function that goes through –3 on the y-axis and has a slope of 0.5.

y= ????

Answers

Answer: y = [tex]\frac{1}{2} x[/tex] - 3

Step-by-step explanation:

The equation for a line is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.Since the slope is 0.5 (which is [tex]\frac{1}{2}[/tex]), we can plug that value in for "m": y = [tex]\frac{1}{2} x[/tex] + bSince the line goes through -3 on the y-axis, that is the y-intercept. So, we can just plug in that value for "b": y = [tex]\frac{1}{2} x[/tex] - 3And there's your answer: y = [tex]\frac{1}{2} x[/tex]-3

Work out
3/4 times 1/2

Answers

Answer:

[tex]\frac{3}{4} * \frac{1}{2} = \frac{3}{8}[/tex] alternatively, the answer is 0.375

Simplify the Algebraic Expressions Problems 15 - 19.

15. 7c + 8d + 2c + 17d =

16. 4(2m - 3p) + 12m + 7p =

17. (15j +9z) - (12j + 6z) =

18. 3y + 6.7x + y + 2.3x +10 - 7 =

19. 2b + (-6c) +5e - 11b + e+ 6c =

Answers

Answer: The answers are provided below

Step-by-step explanation:

15. 7c + 8d + 2c + 17d

= 7c + 2c + 8d + 17d

= 9c + 25d

16. 4(2m - 3p) + 12m + 7p

= 8m - 12p + 12m + 7p

= 8m + 12m -12p + 7p

= 20m - 5p

17. (15j +9z) - (12j + 6z)

= 15j - 12j + 9z + 6x

= 3j + 15z

18. 3y + 6.7x + y + 2.3x +10 - 7

= 6.7x + 2.3x + 3y + y + 10 - 7

= 9x + 4y + 3

19. 2b + (-6c) +5e - 11b + e+ 6c

= 2b - 11b - 6c + 6c + 5e + e

= -9b + 6e

Which expressions are equivalent to
z + (z + 6)?
Choose all answers that apply:
А
(z + 2) + (z + 6)
B
(z + 6) + 6
C
202
z + 3)​

Answers

The answers are C, and/or A.

I'm not entirely sure, I apologize..

Which point on the graph represents the y-intercept?

Answers

Point W represents the y-intercept

Solve: |2x - 1| < 11

Answers

Answer:x<6

Step-by-step explanation:

2x<11+1

2x<12

X<6

Solve for x. 5x - 1 = 26 x = x = 5 x = -5

Answers

Answer:

x = 27/5

Step-by-step explanation:

5x - 1 = 26

Add 1 to each side

5x - 1 = 26

5x-1+1 = 26+1

5x = 27

Divide each side by 5

5x/5 = 27/5

x = 27/5

Choose the possible descriptions of cross sections formed by the intersection of a plane and a cylinder.

Answers

Answer:

Ellipses (special case is called a circle), hyperbolas, parabolas.

Step-by-step explanation:

These are all conic sections.

A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.

The illustration below gives more insight into the question.

I hope this helps.

1. How many ways are there to get a sum of 10 when two dices are thrown?
2.How many ways are there to get a sum of 11 when two dices are thrown?
3. How many ways are there to get a sum of 12 when two dices are thrown?


Please Answer Quickly And Kindly Explain Properly, Thanks!

Answers

Answer:

1.3 2.2 3.1

Step-by-step explanation:

1. 6:4 4:6 5:5

2. 5:6 6:5

3. 12 6:6

those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice

Other Questions
6 times a number plus 22 is greater than 7 PLZ HELP ASAP!! WHAT IS 7- x-3 DIVIDED BY 4 + 2 ( WILL MARK BRAINLIEST) St lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get? If a body goes from 10 m/s to 50 m/s in 8 seconds, what is it's acceleration? If all carbon dioxide coming out of volcanoes were to remain in the atmosphere, what further effect would this have on Earths temperature? The radius of a circle with an area of 9/4pi is increased by a scale factor of x. The resulting circle has an area of 81pi . What is the value of x? Which LEAST describes a topic sentence? A. A topic sentence is a specific detail about the subject of a paragraph. B. A topic sentence can express an opinion. C. A topic sentence states the central idea of a paragraph. D. A topic sentence suggests ideas for the development of the rest of the paragraph. Which graph best shows the solution to the following equation? prove the trig identity: tan^2 x cos^2 x = (sec^2 x -1)(1-sin^4 x)/1+sin^2 x HELP PLEASE!!!For what value of x does 4^x= (1/8)^x+5answers: -15 - 3 3 15HELP PLEASE!!! Which choice is equivalent to the product below?8 3 Which graph represents a proportional relationship? PLEASE HELP, BEST ANSWER GETS BRAINLIEST:Copy and complete. The numbers of immigrants who entered the United States during the industrial age was in theO thousands.Ohundreds of thous ands.Omillions.O hundreds of millions. What is the difference between user program and packages program? last question of the day and then i am finished, plz help, brainliest will be given A food chain is illustrated below:The arrows represented most likely indicateA. Energy released from metabolism into the environment as heatB. Oxygen released from metabolism produced by cellular respiration C. The absorption of energy from the environment that has been createdD. The transport of glucose away from the organism through photosynthesis There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 1/9 There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be. Theit takes to recognize aand your body responding to it.Blank 1:Blank 2: Which choices are equivalent to the expression below? Check all that apply.3 square root of 6 A. 54B. 27. VAc. 27. 2D.64E. 18F 19.6