4
The ordered pair (6, 4) is a solution of the linear equation 2x + ky = 8. What is the value of k?
-8
B
-1
What is the Answer

Answers

Answer 1

Answer:

k = -1

Step-by-step explanation:

Plug the known values into the linear equation:

[tex]2x + ky = 8\\2(6) + k(4) = 8\\12 + 4k = 8\\[/tex]

Subtract 12 from both sides to isolate 4k:

[tex]12 + 4k - 12 = 8 - 12\\4k = -4\\[/tex]

Divide both sides by 4:

[tex]\frac{4k}{4} = \frac{-4}{4}[/tex]

k = -1

Hope this helps!


Related Questions

g(x) = -x + 2, find g(5)

Answers

Answer:

-3

Step-by-step explanation:

-(5)+2 = -3

Consider the line y=7x-5. Find the equation of the line that is perpendicular to this line and passes through the point (-8, -6). Find the equation of the this line that is parallel to the point (-8, -6).

Answers

Answer:

Equation is y = -1/7x - 50/7   or    y = -1/7x - 7 1/7

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

y = 7x - 5  This equation slope = 7 because the slope is the coefficient of the x-term.  

The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)

Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).

y = mx + b

-6 =  -1/7(-8) + b

-6 = 8/7 + b

-6 - 8/7 = b

-50/7 = b

Equation is y = -1/7x - 50/7  or    y = -1/7x - 7 1/7

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}~\hspace{10em} y = \stackrel{\stackrel{m}{\downarrow }}{7}x - 5\\\\[-0.35em]~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}{\stackrel{slope}{7\to \cfrac{7}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{7}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{7}}}[/tex]

so we know that it has a slope of -1/7 and passed through (-8,-6)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6}) ~\hspace{10em} \stackrel{slope}{m}\implies - \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{1}{7}}[x-\stackrel{x_1}{(-8)}] \implies y+6=-\cfrac{1}{7}(x+8) \\\\\\ y+6=-\cfrac{1}{7}x-\cfrac{8}{7}\implies y=-\cfrac{1}{7}x-\cfrac{8}{7}-6\implies ~\hfill y=-\cfrac{1}{7}x-\cfrac{50}{7}[/tex]

help pls and ty! i will give brainliest to the correct answer

Answers

Answer: 24km

Step-by-step explanation:

given 1cm : 8km

distance between cafe and restaurant upply store= 3cm

Real distance = 3x8 =24 km

The importance of crushing the Whiskey Rebellion was to uphold

Answers

Answer:

Federal Authority should be the answer

Could someone please help me?

Answers

Students where lying or they where inaccurate for some reason

Can you please tell me if this is correct ?

Answers

Answer:

(6*3) - 5

Step-by-step explanation:

The product of 6 & 3 = 6*3 = 18

5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18

18 - 5 = 13

13 is 5 less than 18

A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.

Answers

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

I will Make Brainliest ! Plz solve those 5 Question on the Picture.​​ ​

Answers

Answer:

[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]

[tex](v) \: the \: interval \: 3 - 1[/tex]

120 miles in 1 3/4 hours as a unit rate

Answers

9514 1404 393

Answer:

  68 4/7 miles/hour

Step-by-step explanation:

The unit rate is found by dividing miles by hours:

  (120 miles)/(7/4 hours) = 480/7 miles/hour = 68 4/7 miles/hour

The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False

Answers

9514 1404 393

Answer:

  B.  False

Step-by-step explanation:

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

There is nothing in the diagram to require the triangles be congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

To learn more about the congruent theorem visit:

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A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 270 were in favor of the increased speed limit. Construct a 95% confidence interval on the difference in the two proportions. Round your answer to four decimal places (e.g. 98.7654).

Answers

Answer:

5.006

Step-by-step explanation:

3. Write Math Two factors that make a product are sometimes called a factor
pair. Describe how using factor pairs helped you solve the problems.

Answers

Ymx+b
Is the value of the factor yes yes

equation with a variable on both sides that equal 27

Answers

Answer:

x +20 = 20 + 4 -x +10  (x =7)

Step-by-step explanation:

equation with a variable on both sides that equal 27

x +20 = 20 + 4 -x +10

rewrite 4x plus 2y equals 6 in slope intercept form.

Answers

Answer:y=-2x+3

Step-by-step explanation:

Please helpp!! best answer gets brainliest​

Answers

Answer:

the answer is B and C, because B equals .57 and C is .666 continuous

Answer:

C

Step-by-step explanation:

Turn everything into a fraction (round if needed)

4/7 = 0.571

A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.

B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.

C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.

The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets. Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.

Answers

Answer:

Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper. To enable to do this easily, draw an x-axis which is big enough for the largest value in the data, and small enough for the smallest value in the data (in the entire collection of data). Plot each box-and-whisker diagram below each other.

Step-by-step explanation:

pls mark

Answer:

Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper.

Step-by-step explanation:

tickets to a fair cost $4 for children and $10 for adults. You are unsure of how many tickets were sold, but know that $200 was collected. define your variables. What would be my variables??

Answers

Answer:

4=

10=

200=

I dont actully know this i wanted to give it a try n all i got was this

An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?

Answers

there ya goooooooooooooooooo

A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour

Answers

Answer:

6 Km / hour

Step-by-step explanation:

Convert distance to Km ( 1 Km = 1000 m )

150 m = 150 ÷ 1000 = 0.15 Km

Convert 1.5 mins to hours ( 1 hour = 60 minutes )

1.5 = 1.5 ÷ 60 = 0.025 hours

average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{0.15}{0.025}[/tex] = 6 Km / hour

The average speed in km per hour is 6 kilometers per hour

How to determine the average speed?

The given parameters are:

Distance = 150 mTime = 1.5 mins

Convert meters to kilometers

Distance = 150/1000 km

Distance = 0.15 km

Convert minutes to hours

Time = 1.5/60 hour

Time = 0.025 hour

The average speed is then calculated as:

Speed = Distance/Time

This gives

Speed = 0.15 km/0.025 hour

Evaluate

Speed = 6 kilometers per hour

Hence, the average speed in km per hour is 6 kilometers per hour

Read more about speed at:

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If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?

Answers

75 hours because they both do it in the future

Find 6 / 2(9) . Express your answer as a fraction in simplest form.

Answers

Answer:

3 or 3/1

Step-by-step explanation.

since 9 is in parenthuses, do 2x9, then you have the fraction 6/18, and 6 does into 18 3 times evenly, so the answer is 3.

The simplification form of the fraction 6/2(9) is 1/3 after using the concept of fraction and basic arithmetic operation.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fraction is:

= 6/2(9)

From the definition of the fraction, the top of the fraction number is called the numerator and the second is the bottom of the fraction number which is called the denominator.

In the given fraction the number 6 is in the numerator and 2(9) is in the denominator.

= 6/18  (after the multiplication of 2 and 9)

= 1/3  (divide by 6 on the numerator and denominator)

Thus, the simplification form of the fraction 6/2(9) is 1/3 after using the concept of fraction and basic arithmetic operation.

Learn more about the fraction here:

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Simon bought a $48 table on sale at 30% off.

Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression

A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!

Answers

Answer:

The answer is B. Hope this helps!

This is K12 in sixth grade
The committee is planning a party and 150 guests are expected. Each table seats 12 people.

How many tables will be needed to seat all 150 guests?


12

13

162

1800

Answers

Answer:

13

Step-by-step explanation:

divide 150 by 12

the answer is 12.5

round 12.5

;)

Your answer here is 13 aka b

what is the order biggest to least.

6/40 -4 3/4 -9/20

Answers

Answer:

.15, -.45, -4.75

Step-by-step explanation:

put all of them into a ti84 calculator and convert to decimals and then you get your answer.

Answer:

6/40, > -9/20, > -4 3/4

because positive numbers are greater, and the smaller the negative number, the greater it is.

3x+2=198
Solve it as Soon as possible!​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x ~

[tex]3x + 2 = 198[/tex]

[tex]3x = 198 - 2[/tex]

[tex]3x = 196[/tex]

[tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]

Answer:

[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]

Result:

[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]

Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2

Answers

Answer:

A.) 6a^3 + 12a^2 - 15a

Step-by-step explanation:

Area = w * l

Area = 3a(2a^2 + 4a - 5)

Area = 6a^3 + 12a^2 - 15a

Record the prime factorization of 720 using exponents

Answers

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

Learn more about the prime factorisation here:

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Which sums and/or differences equal 14? Check all that apply.

Answers

Answer:

What's the choices??

Step-by-step explanation:

x ÷ 2 = 50
x = ?


Question Easy​

Answers

Solution:

[tex]x \div 2 = 50 \\ = > x = 50 \times 2 \\ = > x = 100[/tex]

Answer:

x = 100

Hope it helps.

Do comment if you have any query.

[tex]x = 100[/tex]

hope it helps

see the attachment for explanation!

-
I need help please

Answers

[tex]x = 7 - p\implies x + p = 7\implies \boxed{p = 7 - x} \\\\[-0.35em] ~\dotfill\\\\ y = 3p+4\implies y = 3(7-x)+4\implies y = 21-3x+4\implies \blacktriangleright y = 25 - 3x\blacktriangleleft[/tex]

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