For what value of k will the following linear system have infinitely many solutions?

2a+b=-6, 6a+kb=-18

Answers

Answer 1

There are infinitely many solutions to a linear equation with the same variable term on both sides of the equation.

We have to find the coefficient of "b"

from first equation:

2a + b = -6b = -6 - 2a

from second equation:

6a + kb = -18b = (-18 - 6a)/k

solve them simultaneously:

(-18 - 6a)/k = -6 - 2a(-18 - 6a)/(-6 - 2a) = kk = 3

Related Questions

In the diagram, lines r and s are parallel to each other and perpendicular to transversal line t. Line w is a transversal to lines r and s. Use properties of special angles, formed by parallel lines, perpendicular lines and their transversals, to describe the relationship between the angles. Choose all of the situations that correctly describe the relationship between the angles. Note: Figure is not drawn to scale.



s || r ; s ⊥ t ; r ⊥ t

line w is a transversal

m∠7=72°

10 and 14

(MULTIPLE CHOICE)
supplementary angles
The angles do not share a special relationship.
vertical angles
right angles
equal angles
alternate exterior angles
same side interior angles
alternate interior angles
corresponding angles

Answers

Answer:

Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Part 6)

Part 7)

Part 8)

Part 9)

Part 10)

Step-by-step explanation:

Part 1) Find the measure of angle 7

we know that

----> by corresponding angles

we have

----> given

therefore

Part 2) Find the measure of angle 4

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

Part 3) Find the measure of angle 6

we know that

----> by alternate exterior angles

we have

therefore

Part 4) Find the measure of angle 1

we know that

----> by vertical angles

we have

therefore

Part 5) Find the measure of angle 16

we know that

----> by supplementary angles (form a linear pair)

we have

---> given

substitute

Part 6) Find the measure of angle 18

we know that

----> by alternate interior angles

we have

therefore

Part 7) Find the measure of angle 21

we know that

----> by alternate exterior angles

we have

therefore

Part 8) Find the measure of angle 10

step 1

Find the measure of angle 14

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

step 2

we know that

---> sum of interior angles of a triangle

we have

substitute

step 3

Find the measure of angle 10

we know that

----> by vertical angles

we have

therefore

Part 9) Find the measure of angle 11

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

Part 10) Find the measure of angle 12

see Part 8)

Step-by-step explanation:

what are the angles of a triangle with 73, x, x-11?

Answers

Answer:

The angles of the triangle are 73, 59, and 48

Step-by-step explanation:

The sum of a triangle's angles must always add up to 180

In order to find out the measure of x we must make an equation where 180=the sum of the angles

180=2x+62

We got the 2x and the 62 from combining like terms

x+x=2x

73-11=62

Now we simply use algebra and try to solo out the x

First, subtract 62 from both sides

118=2x

Then, divide both sides by 2

59=x

x=59

Then plug in 59 with x and this gives you

73, 59, and 48 which all together add up to 180

brainliest if it is right

Answers

Yes because it is the brainliest answer

Answer:

No

Because you need to half the diameter to fit it into the formula. So you would do 7 divided by 2 to get the radius which is 3.5. Then you do 3.5 x pi

Step-by-step explanation:

A researcher recorded the number of cows on each farm in the county.

Cows per farm
Stem Leaf
2 1 3 5 7
3 0 3 5
4 2 4 9


What is the range of the numbers?

Answers

Answer: 0

How: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Help me and answer correctly please and I will mark you brainliest!!!

Answers

Answer:

D)rotation, reflection

Step-by-step explanation:

Rotation because the figure has rotated in a clockwise direction but since only rotation cannot be the correct answer, the figure has also been reflected after being rotated. Thus only option D is correct.

100 points: A small circular mirror has a 2 cm frame around it. The mirror itself is 8 cm in diameter.
if possible show your work :)
(a) Write and simplify an expression for the exact area of the frame.
(b) Find the approximate area of the frame. Use 3.14 to approximate π

Answers

Answer:

48π and 150.72

Step-by-step explanation:

Please check out the attached photo. by the way, if anything's confusing, feel free to leave a comment. I'm here to help.

Total diameter:-

8+2+2=8+4=12cm

Radius=12/2=6cm

So

Area:-

πr²π6²36πcm²

#2

36(3.14)113.04cm²(Exact)

Use the Converse to the Pythagorean Theorem to determine if the triangle below is a right triangle.

State whether or not the triangle is a right triangle.

Answers

[tex]3^2 + 9^2=12^2\\9 + 81\\a^2+b^2=90\\c^2= 144\\90\neq 144\\[/tex]Answer: Not a right triangle, as seen as equation to the left

Step-by-step explanation:

4.
Lisa is planting a garden. The rows of peas in Lisa's garden are going to be 3 feet long, so she will plant a seed every 3/16 of a foot. Which of these is the same as 3/16?

Answers

The answer is C. because 3/16 is close to 3 because how it’s estimated of the germs and gasoline is how it’s going to hit africa and south america and dacota. hope this helps!!
0.1875 is the decimal version. You should chose B, the one is not a part of 3/16ths.

answer all 3 for brainliest

Answers

Answer:

πr + 2r

Step-by-step explanation:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation:

1. d = 22mm

circumference = πr + d

= 22/7 × 11 + 22

= 56.57 mm

2. r = 4 inches

circumference = πr + d

= 22/7 × 4 + 8

= 20.57 Inches

3. d = 10 yards

circumference = πr+d

= 22/7 × 5 + 10

= 25.71 yards

i need help with this get more math problem.​

Answers

Answer:

[tex]y = 2(x + 3) ^{2} - 1[/tex]

should be it. good luck!

Answer: y = 2 (x+3)^(2) -1

Step-by-step explanation:

y=mx+b formula

inside parentheses as (x+n) or (x-n) brings the graphed line left or right on the x-axis (+ is left, - is right). thus, we have (x+3), which is then squared to create the u shaped curve.

to bring the point curve to a -1 in the y-axis (-3,-1), a -1 is added to the end, outside of the parentheses. thus we now have [(x+3)^2] -1

to narrow the curve, the part parentheses is multiplied, here by two. thus, the final answer is y=[(x+3)^2]-1

Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

Answers

1,3,5 ! is correct !!!!! due to my calculations

The data is dispersed in a box plot with the data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24 is shown in the image attached.

What is the box plot

To create a box plot for the given data set:

25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, and 24

One first need to look for some key statistics that will help one make  the plot and they are

Minimum value in the data set.First quartile (Q1)Median (Q2)Third quartile (Q3)Maximum value in the data set.

So first sort the data in ascending order:

18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38

Minimum: 18 First quartile (Q1): 21.Median (Q2):  27.Third quartile (Q3):  33.Maximum: 38.

The lines coming out from the box (whiskers) show the smallest and largest values that are within a certain range around the middle of the data. Any data points that are different from the others and fall outside a certain range are called outliers. These outliers are shown separately on a graph.

The box plot shows us how the data is spread out and gives us information about the average value and any very high or very low values.

Read more about box plot here:

https://brainly.com/question/23798414

#SPJ2

Please do it without guessing and please give an explanation for the points

Answers

Answer:

Here is a dot plot you saw in an earlier task. It shows how long Elena’s bus rides to school took, in minutes, over 12 days.

A dot plot labeled “travel time in minutes.” The numbers 5 through 14 are indicated. The data is as follows. 5 minutes, 0 dots 6 minutes, 2 dots 7 minutes, 1 dot 8 minutes, 3 dots 9 minutes, 3 dots 10 minutes, 2 dots 11 minutes, 0 dots 12 minutes, 1 dot 13 minutes, 0 dots 14 minutes, 0 dots

Step-by-step explanation:

follow the direction you can understand

WILL GIVE BRAINLIEST AND ALSO 5 STARS + 100 POINTS. ANSWER QUICK AND CORRECTLY WITH NO LINKS

Answers

Answer:

x = -40

Step-by-step explanation:

Rewrite "(x - 4)/4" in a different way:

⇒ 8 + x/2 = (x - 4)/4 - 1

⇒ 8 + x/2 = x/4 - 4/4 - 1

Simplify the R.H.S:

⇒ 8 + x/2 = x/4 - 1 - 1

⇒ 8 + x/2 = x/4 - 2

Add 2 both sides and subtract x/2 both sides:

⇒ 8 + x/2 = x/4 - 2

⇒ 8 + 2 = x/4 - x/2

⇒ 10 = x/4 - 2x/4

Simplify the R.H.S:

⇒ 10 = x/4 - 2x/4

⇒ 10 = -x/4

Use cross multiplication:

⇒ 10 × 4 = -x

-(40) = x = -40

Answer:

xx=-40xAnswer

Step-by-step explanation:

Beinggreat78, Answer fast!

Answers

Answer:

[tex]I~am~here!!![/tex]

C. ⇒ 2 : 4. This is because 2 may be a multiple of 1, however, 3 is not a direct multiple of 4.

C. Because is 1:3 started with a 2 it would have to be 2:6 and 1:3 can not convert into 2:4

Find the distance between 11/5 and [tex]\sqrt{25/4}[/tex] on a number line.

Answers

Answer:

Assuming you meant 11/5 - √(25/4) The answer is -3/10 or -0.3.

Step-by-step explanation:

Subtract the quantities.

Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?

Answers

12 lawns/9 hours = 1.33 lawns per hour

The rate of lawn mowing is given as 4/3 lawns per hour.

What is Unitary method ?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

The given problem can be solved using unitary method as follows,

The number of lawns mowed in 9 hours = 12

Then, number of lawns mowed in 1 hour = 12/9 = 4/3.

Hence, the rate of mowing lawn for Audrey is 4/3 lawns per hour.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ2

According to the line plot, how many apples weigh 5/8 of a pound?

5 apples
2 apples
4 apples
3 apples

Answers

Answer:

4

Step-by-step explanation:

If you count the X's you should count 4 X's so 4 apples weigh 5/8 pounds

4 apples weigh 5/8 of a pound

BRAINLIEST! THANK YOU< APPRECIATE YA

Complete this missing number problem.

N + (187 - 94) = 150
N + _ = 150
N = _

Fill in blanks

Answers

n+93=150

n=57

what fraction is equal to 4

A. 3/4
B. 2/4
C. 4/4
D. 4/1
E. 1/4

Answers

Answer:B

Step-by-step explanation:

its B because if u out 1/1 thats one whole number and if u have 4/1 then theres four whole numbers so it would be the same as just a normal 4

Answer:

It's D

Step-by-step explanation:

How do you do this???

Answers

Answer:

  (a) 136 ft

  (b) $680

Step-by-step explanation:

You want to know the perimeter length and the cost of tiling around a pool with the L-shape shown.

(a) Perimeter

The sum of horizontal lengths at the bottom of the pool outline is the same as the length at the top.

The sum of vertical lengths at the left of the pool outline is the same as the length on the right.

The perimeter is the sum of horizontal and vertical lengths of the outline, so is ...

  P = 2(40 ft + 28 ft) = 136 ft

The perimeter of the pool is 136 ft.

(b) Tile cost

The cost of tile is found by multiplying the cost per length by the length around the pool.

  tile cost = ($15/(3 ft))(136 ft) = $680

It will cost $680 to put tiles around the edge of the pool.

<95141404393>

Pleaseee help I’m so confused

Answers

Answer:

25

Step-by-step explanation:

(You can do this differently, but I chose to do it like this)

First, convert the 1816 kilograms to pounds.

1816 kilograms = 4003.595 pounds

Then, we can divide 4003.595 pounds by 160 to figure out how many 160-pound people the balcony can hold.

4003.595 ÷ 160 ≈ 25.02

If the balcony holds 26 people, it will collapse, so the answer must be 25.

I hope this helps and please mark me as brainliest!

What is the value of 2x and 3x?

Answers

the value of 2x is 44 degrees and the value of 3x is 71 degrees. same pattern just different angles!
The value of 2x and 3x is 5x

show work on how to question

Answers

Circumference of a circle = 2 × π × r

And Diameter = 2 r

Therefore using the formula!

Circumference of the circle with diameter 20 foot :

2 × π × 10 = 20 π foot

Circumference of the circle with diameter 5 foot :

2 × π × 2.5 = 5 π foot

Difference between the sand paintings' diameter = 20 π - 5 π = 15 π foot

Find the next 4 terms of the following arithmetic sequence:

-7,-5.5,-4,-2.5

Answers

Answer:

-1, 0.5, 2, 3.5

Step-by-step explanation:

1.5 is added to the previous value for each value of the sequence. -2.5+1.5 is -1; -1+1.5 is 0.5, etc.

Answer:

-1, 0.5, 2, 3.5

Step-by-step explanation:

y=x+1.5

Hope this helps! :D

PLSSSSSSSSSSHELPPPPPPPPPP

Answers

Answer:

Equation: 28-F = N

then if he folded 22 it would be 6

Step-by-step explanation:

Im pretty sure thats right

Hope this helpsss!<3

Answer:

N = 28 - F     N = 6

Step-by-step explanation:

N = 28 - F

F = 22

28 - 22 = 6

N = 6

Find the measure of each interior angle of the regular polygon.

Answers

90’ ?
Not sure but hope ta right :)
Inside the polygon = 360 degrees.
There are 11 sides of the polygon.
So, 360/11 = 32.72 degrees.

Identify the scatter plots as linear association, nonlinear association, or no association.



(WONT LET ME ADD THE 6TH IMAGE)

Answers

Answer:

1. Non-linear positive

2.Linear positvie

3. No association

4.Linear negative

5.Non-linear negative.

Step-by-step explanation:

If this answer helped may I get brainlest.

Answer b because how it’s formed

A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Answers

Answer:

the answer should be 160 in^3 because what you have to do is to multiply 16 times 7 times 15 and you will get 160 which is the answer.

Step-by-step explanation: I hope this is the right answer and please give me brainliest. Tell me if i got it right or not.

To get the answer you have to find surface area so you have to use the rectangular prism equation which is 2(l•w+l•h+w•h) then you can fill in with the numbers.
2( 16•15+16•7+15•7) after you can start solving
2(240+112+105)
2(457)
914
The answer should be 914. The other answer could have been correct if you were trying to calculate volume. Pls brainliest

help me I'll give brainliest to the person who has the correct answer​

Answers

Answer:c in the habit of

Step-by-step explanation:

Hey there!


When you see or hear the word “accustomed” think of the person/speaker or question telling that it is another name for “Be prepared of something” or just simply think of the word “adaption”.


Another word for “adaption” or “adapt” is “habitation” aka “habitat”


Based on that information I gathered for you, the answer is “in the habit for” (Option C.) because it’s talking about the word “habitat”


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is 14% of 800? Enter your answer in the box.

Answers

14% of 800 is 112. You can figure this out by multiplying 0.14 by 800 to get 112
Commenting so the dude gets brainliest
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