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!
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).
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]
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??
Answer:
4=
10=
200=
I dont actully know this i wanted to give it a try n all i got was this
what is the order biggest to least.
6/40 -4 3/4 -9/20
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.
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!
Answer:
The answer is B. Hope this helps!
equation with a variable on both sides that equal 27
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
-
I need help please
[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]
3x+2=198
Solve it as Soon as possible!
[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]
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.
I will Make Brainliest ! Plz solve those 5 Question on the Picture.
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]
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
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
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?
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.
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:
Find 6 / 2(9) . Express your answer as a fraction in simplest form.
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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The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
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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The importance of crushing the Whiskey Rebellion was to uphold
Answer:
Federal Authority should be the answer
g(x) = -x + 2, find g(5)
Answer:
-3
Step-by-step explanation:
-(5)+2 = -3
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).
Answer:
5.006
Step-by-step explanation:
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
Answer:
13
Step-by-step explanation:
divide 150 by 12
the answer is 12.5
round 12.5
;)
Record the prime factorization of 720 using exponents
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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120 miles in 1 3/4 hours as a unit rate
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
x ÷ 2 = 50
x = ?
Question Easy
[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 helpssee the attachment for explanation!
Please helpp!! best answer gets brainliest
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.
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
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 minsConvert 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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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
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
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
Which sums and/or differences equal 14? Check all that apply.
Answer:
What's the choices??
Step-by-step explanation:
Can you please tell me if this is correct ?
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
Could someone please help me?
