Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12

Answers

Answer 1

3x + 6y = 12
6y = - 3x + 12
y = - 1/2x + 2

Since your slope is - 1/2, we take the opposite reciprocal to find the perpendicular slope. Your perpendicular slope is 2.

y = 2x + b

Plug in the point to solve for b and get your final line.

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

y = 2x - 2 is your perpendicular line

Related Questions

Compute the stock turnover in dollars for a product that has sales of $6,000 and an average value of inventory investment of $1,500.

Answers

Question: It should be inventory turnover.

Solution:
Inventory turnover = Cost of goods sold/Average inventory

Substituting the values given for cost of goods and average inventory;
Inventory turnover = 6,000/1,500 = 4

Answer: 4

Step-by-step explanation:

Given: Cost of product sold = $6,000

Average value of inventory= $1,500

We know that the inventory turnover formula is given by :-

[tex]\text{Inventory turnover}=\frac{\text{ Cost of product sold}}{\text{Average value of inventory}}[/tex]

[tex]\\\Rightarrow\ \text{Inventory turnover}=\frac{\$6,000 }{\$1500}\\\\\Rightarrow\ \text{Inventory turnover}=4[/tex]

Therefore, the stock turnover for a product that has sales of $6,000 and an average value of inventory investment of $1,500 = 4

A train travels at a constant speed. What is the train's speed between checkpoints, expressed as a unit rate? Use the information given in the picture to help you.

Answers

Remember that the speed is the rate of change of the position with respect to time, so to solve this we are going to use the kinematic equation: [tex]S= \frac{d_{f}-d_{i}}{t_{f}-t_{i}} [/tex]
where
[tex]S[/tex] is the speed of the train
[tex]d_{i}[/tex] is the initial distance
[tex]d_{f}[/tex] is the final distance
[tex]t_{i}[/tex] is the initial time
[tex]t_{f}[/tex] is the final time

Since checkpoint A is the initial checkpoint, we can infer that [tex]d_{i}=105[/tex] and [tex]t_{i}=2[/tex]. Similarly, since checkpoint B is the final checkpoint, we can infer that [tex]d_{f}=285[/tex] and [tex]t_{f}=5[/tex]. Lets replace the values in our kinematic euation:
[tex]S= \frac{d_{f}-d_{i}}{t_{f}-t_{i}} [/tex]
[tex]S= \frac{285-105}{5-2} [/tex]
[tex]S= \frac{180}{3} [/tex]
[tex]S=60[/tex] mph

We can conclude that the train's speed between checkpoints is 60 mph.

the checkpoints is 60 mph if you have any questions just ask:)

In this triangle, side AT = 24. Please give the value for the sine, cosine, and tangent for this diagram (Which is the marked angle?). Give the value as a ratio ONLY. Make sure all ratios are in the lowest form.

Be sure to explain IN WRITING how you find sine, cosine, and tangent! If you are not sure, check the directions in this problem!

Question 1 options:

Answers

The value of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x= 7/25

b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25

Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24

Solve each of the following right triangles. Round angle measures to the nearest degree and segment lengths to the nearest tenth. Angle C is the right angle of the triangle

Answers

6. C=67
AC=23.
BA=55.2

There are five red marbles eight blue marbles and 12 Green marbles in a bag. What is the theoretical probability of randomly drawing a red marble and then a green marble

Answers

you do add den you get30

Calculate the total cost of the order: Veggiburger with cola and soup, sales tax 4%, tip 15.

Veggiburger: $3.25
Cola: $1.50
Soup: $2.25

A $8.33
B $7.28
C $7.00
D $5.50

Answers

Add the prices of the food together to get $7. Then you calculate the sales tax, which is 1.04 * $7 = $7.28. The tip is 15% I am assuming, and not 15, so it would be $7 * 0.15 = $1.05. Add $1.05 with $7.28 to get $8.33, so the answer is A.

Final answer:

The cost of the order, including the sales tax of 4%, comes out to be $7.28. However, the tip is unclear in the question. If it's 15%, the cost rises to $8.37, but none of the provided options match this result.

Explanation:

The first step is to calculate the total cost of the Veggiburger, cola, and soup by adding them together. So, $3.25 (Veggiburger) + $1.50 (cola) + $2.25 (soup) = $7.00. Next, apply the 4% sales tax on this amount which is $7.00 * 4/100 = $0.28. So the subtotal now is $7.28 ($7.00 + $0.28). Finally, the tip mentioned in the problem is not clear whether it is a percentage or a fixed amount. If it is a 15% tip, then calculate 15% of the subtotal, i.e $7.28 * 15/100 = $1.09 (Approx). Adding this to the subtotal we get $8.37 which is not an option in the given answers. If $15 is a fixed tip amount, the total cost would be substantially larger. Please ensure the tip amount is correct.

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If 7 is subtracted from the product of 3 and a number, the result is 5 more than the number.

Answers

If you subtract 3-7 and add 9 to it the result is 5. 3-7+9=5

Which of the following types of equations have you learned to solve using algebraic methods?
[]Quadratic[]Exponential[]Radical[]Linear[]Rational

Answers

The following types of equations have you learned to solve using algebraic methods is Linear.

Quadratic equations involve a variable raised to the power of 2, and algebraic methods like factoring or using the quadratic formula are used for solving.

Exponential equations involve variables in the exponent, and logarithmic methods are employed to solve them.

Radical equations involve roots, and solving them often involves isolating the radical and squaring both sides or other methods based on the root's degree.

Linear equations involve variables raised to the power of 1, and solving them uses standard algebraic techniques like isolating the variable.

Rational equations involve ratios of polynomials and are solved by methods such as clearing denominators and factoring.

Find the inverse function of h(x) = - 2/3x + 6.

h -1(x) = -3/2x + 9
h -1(x) = -3/2x - 6
h -1(x) = -2/3x + 9
h -1(x) = -2/3x - 6

Answers

let y=h-1(x) and lastly, find y

Please help me, if you'd be so kind.

A right rectangular prism is shown.

What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?

Drag and drop the answer into the box.

Answers

[tex]\overline{DH}=\sqrt{3^2+1.5^2+1^2}=\sqrt{9+2.25+1}=\sqrt{12.25}=\boxed{3.5}[/tex]

Find the surface area of the cylinder in terms of π.

See picture

a) 1008π in.2

b) 522π in.2

c) 360π in.2

d) 396π in.2

Answers

[tex]\bf \textit{total surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=9\\ h=20 \end{cases}\implies SA=2\pi (9)(20+9) \\\\\\ SA=18\pi (29)\implies SA=522\pi [/tex]

Which of the following is an undefined term?
Angle
Circle
Plane
Ray

Answers

I think it would be C.plane... I had this question a while ago and I think its right... plz tell me if I am wrong. Thanks.

Answer:

Plane is an undefined plane

Step-by-step explanation:

Hi, there are three undefined terms in geometry: point, line, and plane.

Point: has no size, only location . It can be named with a capital letter.

Plane: a flat surface that has no thickness, that extends infinitely n every direction. Is named by a single letter or by three coplanar, but non-collinear, points.

Line: Set of points extending in either direction infinitely.

Angle, circle, and ray are not undefined terms. are not Plane.

The frequency of F3 is 174.61 Hz. What is the frequency of the note that is a perfect fifth below f3?
A) 43.6525 Hz
B) 87.305 Hz
C) 116.407 Hz
D) 261.915 Hz

Answers

Notes separated by a perfect 5th have a frequency ratio of 3:2. The note a perfect 5th below f3 will have a frequency of
174.61 Hz × 2/3 = 116.407 Hz

The appropriate choice is ...
C) 116.407 Hz

Help needed soon. please

Answers

For this case we first define variables:
x = daisies flowers
y = roses flowers
We write the system of equations:
x + 2y = 33
x = y + 3
Solving the system we have:
x = 13
y = 10
Therefore, the cost of roses is:
2 * y = 2 * 10 = 20 $
Answer:
Roses = $ 20

I really need help

What is the equation of a circle with its center at(10,−4) and a radius of 4?

(x−10)2+(y+4)2=4

(x+10)2+(y−4)2=16

(x−10)2+(y+4)2=16

(x+10)2+(y−4)2=2

(x−10)2+(y+4)2=2

(x−10)2+(y+4)2=8

(x+10)2+(y−4)2=8

(x+10)2+(y−4)2=4

Answers

The answer should be
(x-10)²+(y+4)²=16

The equation of any circle is
(x – h)² + (y – k)² = r²

(h,k) is the center point and r is the radius

Four golf balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 4cm.

What is the volume of the cylinder rounded to the nearest cubic centimeter?

What is the total volume of the four balls rounded to the nearest cubic centimeter?

What percent of the volume of the container is occupied by the four balls?

Answers

Hello,
Please, see the attached files.
Thanks.

What is the slip of the line given by the equation y=-1/3 x

Answers

the slip? I don't think it has any slip, but as far as the slope goes, well, the equation is in slope-intercept form, thus

[tex]\bf y=\stackrel{slope}{-\cfrac{1}{3}}x~~\stackrel{y-intercept}{+0}[/tex]

Multiply: (2x2 − 5x)(4x2 − 12x + 10)

Answers

The answer is 60x^2 - 138x + 72

Hope this helps!

Answer:

[tex]8x^4-44x^3+80x^2-50x[/tex]

Step-by-step explanation:

The given expression is

[tex](2x^2-5x)(4x^2-12x+10)[/tex]

Using distributive property we get

[tex]2x^2(4x^2-12x+10)-5x(4x^2-12x+10)[/tex]

[tex]2x^2(4x^2)+2x^2(-12x)+2x^2(10)-5x(4x^2)-5x(-12x)-5x(10)[/tex]

On simplification we get

[tex]8x^4-24x^3+20x^2-20x^3+60x^2-50x[/tex]

On combine like terms.

[tex]8x^4+(-24x^3-20x^3)+(20x^2+60x^2)-50x[/tex]

[tex]8x^4-44x^3+80x^2-50x[/tex]

Therefore the product of two polynomials is [tex]8x^4-44x^3+80x^2-50x[/tex].

What is the value of b?

Answers

Look at the picture.

d° + c° = 2 · 68° = 136°

b° = 360° - (136° + 104°) = 360° - 240° = 120°

Tina can paint a room 1.5 times faster than Joey can. If they work together, they can paint a room in 6 hours. How long would it take the slower person working alone to paint the room?

Answers

So, the rate is 1 job / hours, so:
1/n + 1/1.5n = 1/6
We'll make the denominator 3n:
3/3n + 2/3n = 1/6
5/3n = 1/6
Cross multiply:
3n = 30
n = 10
It will take the slower person 10 hours to complete the room.

A license plate has 3 letters and 3 digits in that order. a witness to a hit-and-run accident saw the first 2 letters and the last digit. if the letters and digits can be repeated, how many license plates must be checked by the police to find the culprit?

Answers

26×10×10=2600

Hope this helped!

The police must check 2600 possible license plates, calculated by multiplying 26 possibilities for the third letter not seen by the witness with 100 possibilities for the two digits also not seen.

To determine how many license plates the police must check to find the culprit, we consider the information that the witness saw the first two letters and the last digit. Since letters can be repeated, there are 26 possibilities for each of the two letters the witness saw. For the last digit, which the witness also saw, there are 10 possibilities (0 through 9). The third letter and the other two digits, which the witness did not see, each have the following number of possibilities: 26 for the third letter, and 10 for each of the two remaining digits.

Calculating the number of possible combinations:

First two letters (seen by the witness): 26 * 26 = 676 possibilitiesLast digit (seen by the witness): 10 possibilitiesThird letter (not seen by the witness): 26 possibilitiesThe two remaining digits (not seen by the witness): 10 * 10 = 100 possibilities

Therefore, the total number of license plates the police must check is the product of the possibilities for the parts the witness did not see:

26 (third letter) * 100 (two remaining digits) = 2600 possible license plates.

WILL GIVE BRAINLIEST PLZ HURRY!!!!!!!!Woodland High School recently won the state Academic Bowl Championship. The medal counts for the 7 members of the team are listed in the table. Which statement is true about the data shown in the table?
A) The range is less than the mode.
B) The mode is greater than the median.
C) The mean is greater than the median.
D) The median is greater than the mode.

Answers

Answer: B = The range is greater than the mean.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is greater than the median

The unt informs club has 16 members. they need to elect a president, a vice president, a secretary and a treasurer. how many different ways can this group of 4 officers be formed? (order is important)

Answers

If they needed to elect just the president there could be 16 possible combination. If they needed to elect the president and the vice there could be 16×15 possible combination, because each president could have 15 possible vice. So the possible combination are 16×15×14×13=43 680.

Hope this helped!

Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)?
Explain the process you used (in words) and include the work you did to find this answer.

Answers

This would be a 90° arc.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).
The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by
m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by
m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

which transformation can verify congruence by flipping a triangle over the y-axis?

A. Dilation
B. Translation
C. Reflection
D. Rotation

Answers

Reflection. Reflection is when you flip an object over an axis. Flipping the triangle over axis wouldn't change the triangles properties.

Answer: C. Reflection

Step-by-step explanation:

There are three rigid transformations which create congruent figures :

a)reflections, b) rotations, c) translations

A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.

A translation moves a shapes by a particular distance.

A rotation rotates a shape around a fix point by an angle .

Therefore, the transformation can verify congruence by flipping a triangle over the y-axis is reflection.

HELP!!!!!!What is the equation of the graph below?

Answers

The answer to your question is y = sin(x + 90) as we have a sine graph phase shifted 90 units left

How many arrangements are possible using the letters in the word fuzzy if each letter "z" is distinctly different than the other? how many arrangements are possible if the letter "z" is interchangeable with the other? explain your reasoning?

Answers

If the letter z's are distinctly different, there are P(5,5) arrangements. That is
[tex]P\left(5,5\right)=5!=5\cdot 4\cdot 3\cdot 2\cdot 1=120[/tex]

If the z's are interchangeable, the number of different arrangements is given by
[tex]\frac{5!}{2!}=5\cdot 4\cdot 3=60[/tex]

When each letter "z" is distinctly different, there are 60 possible arrangements.
When the letter "z" is interchangeable with the others, there are 24 possible arrangements.

1. When each letter "z" is distinctly different from the others:
- The word "fuzzy" has 5 letters in total, including 2 "z" letters.
- To calculate the number of arrangements, we use the formula for permutations with repeated elements:
- The formula is: n! / (n1! n2! ... * nk!)
- n is the total number of letters in the word (5 in this case).
- n1, n2, ... are the number of repetitions of each distinct letter.
- Calculating: 5! / (1! 2! 1! * 1!) = 120 / 2 = 60 arrangements.

2. When the letter "z" is interchangeable with the other letters:
- In this case, there are 4 distinct letters in the word "fuzzy" (f, u, z, y).
- The total number of arrangements can be calculated using the formula for permutations of distinct items.
- Calculating: 4! = 24 arrangements.
In summary:
- When each letter "z" is distinctly different, there are 60 possible arrangements.
- When the letter "z" is interchangeable with the others, there are 24 possible arrangements.

Suppose that a small town has seven burger shops whose respective shares of the local hamburger market are (as percent- ages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent, 8 percent, and 6 percent. what is the four-firm concentration ratio of the hamburger industry in this town

Answers

SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Factor the trinomial below.

9x2 + 6x + 1

A. (3x + 1)(3x – 1)
B. (9x + 1)(x – 1)
C. (9x + 1)(x + 1)
D. (3x + 1)(3x + 1)

Answers

Answer: D. (3x + 1)(3x+1)

Step-by-step explanation:

9x² + 6x + 1

find two factor of 9 such that its product gives 9 and its sum gives 6 (3 and 3, 3×3 = 9 , also 3+ 3=6)

we are going to replace 6x by 3x + 3x

9x² + 6x + 1

9x² + 3x +3x + 1

3x(3x + 1) + 1(3x+ 1)

(3x + 1)(3x+1)

The correct factorization of the trinomial 9x² + 6x + 1 is (3x + 1)(3x + 1) or (3x + 1)². option D.

How do we identify the correct option when the trinomial is factorized?

The trinomial 9x² + 6x + 1 is a perfect square trinomial, which can be factored as the square of a binomial.

Let's find the correct answer from your options:

(A) (3x + 1)(3x - 1): The difference of squares isn't the correct form for our trinomial.

(B) (9x + 1)(x - 1): Expanding this will not give us the original trinomial.

(D) (3x + 1)(3x + 1): When expanded, this gives us 9x^2 + 3x + 3x + 1, which simplifies to 9x² + 6x + 1.

Therefore option D (3x + 1)(3x + 1) is correct

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what is the value of the expression?

Answers

To solve this we are going to use the unitary circle and the fact that [tex]tan \alpha = \frac{sin \alpha }{cos \alpha } [/tex]

From our circle we can infer that [tex]sin\frac{5 \pi }{3}= \frac{- \sqrt{3} }{2} [/tex] and [tex]cos\frac{5 \pi }{3}= \frac{1}{2} [/tex].

Since [tex]tan \alpha = \frac{sin \alpha }{cos \alpha } [/tex], [tex]tan\frac{5 \pi }{3}= \frac{\frac{- \sqrt{3} }{2}}{\frac{1}{2} } [/tex]
[tex]tan\frac{5 \pi }{3}=- \sqrt{3} [/tex]

We can conclude that [tex]tan\frac{5 \pi }{3}=- \sqrt{3} [/tex].

Other Questions

Read the following unpunctuated lines from The Courage that My Mother Had" by Edna St. Vincent Millay and answer the question.The golden brooch my mother woreShe left behind for me to wearI have no thing I treasure moreWhich of the following correctly shows the underlined subject(s) and verb(s) and correctly punctuates the independent clauses?The golden brooch my mother woreShe left behind; for me to wear I have no thing I treasure more.The golden brooch my mother woreShe left behind for me to wear; I have no thing I treasure more.The golden brooch my mother wore; She left behind for me to wear. I have no thing I treasure more.The golden brooch my mother woreShe left behind for me to wear; I have no thing; I treasure more. It swore every boy to stick to the band, and never tell any of the secrets; and if anybody done anything to any boy in the band, whichever boy was ordered to kill that person and his family must do it, and he mustn't eat and he mustn't sleep till he had killed them and hacked a cross in their breasts Write the function associated with the graph below George gershwin usually collaborated with the lyricist ______. A company says that the probability of finding an all-star card in a game pack is 12.5%. A student wants to determine the probability that, if he buys 6 game packs, 2 or more will have an all-star card. To do this, he uses a random number table to pick 6 numbers from 1 to 8. He lets 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card. He repeats this for a total of 15 trials. The results are shown in the table. 561673366468314255361362838443 126285257231768551652585468113 123711322764487626783134384664 Select from the drop-down menus to correctly complete each statement. To estimate the probability that 2 or more out of 6 packs will have an all-star card, the student must count the number of trials with BOX RIGHT HERE and divide by the number of trials. This gives an estimated probability of about . BOX RIGHT HEREPLEASE I NEED THIS ANSWERED I HOPE ITS CLEAR ENOUGH. Help please! Dont understand! Georgia has 130 different agencies. Pick one to give a brief description of the services it provides to the communities in Georgia Need Help AsapDetermine whether the following characteristics describe conditions in Germany before or after unification.1. written constitution2. 300 German states3. trade facilitated in the region4. risk of French aggression5. boundaries changed by Napoleon6. two-house legislature Read this excerpt from a commentary on the Venerable Bede, which appears in an introductory chapter of a translation of Bede's An Ecclesiastical History of the English People. A characteristic akin to [Bede's fairness to opponents] is his love of truth. ... it shows itself in his scrupulous care [as a historian] in investigating evidence and in acknowledging the sources from which he draws. Nowhere is his intellectual honesty more apparent than in dealing with what he believes to be the miraculous element in his history. In whatever way we may regard these anecdotes, there can be no doubt that Bede took the utmost pains to assure himself of their [A) utility, B) importance C) significance D) authenticity]. He is careful to acquire, if possible, first-hand evidence; where this cannot be obtained, he scrupulously mentions the lack of it. He admits only the testimony of [A) fact, B) witnesses, C) books, D) story-tellers] of high character and generally quotes them by name. The Tigris and Euphrates rivers flow ________________ to the ________________.A.north / Black SeaB.west / Mediterranean SeaC.south / Persian GulfD.southwest / Dead Sea how do you convert cos(x) into sin(x) and tan(x) ? A voltage source in a circuit provides electrical _________. Express answer in exact form.Find the area of one segment formed by a square with sides of 6" inscribed in a circle.(Hint: use the ratio of 1:1:2 to find the radius of the circle.) Say aloud the pairs of words in the table below and compare the sound of the letter in bold of the Spanish word in the left column to the sound of the letter in bold of the English word in the right column. For example, does the a of Amrica make the same sound as the a of ancient? Does the j of jalapeo make the same sound as the h of house? After determining which letters in bold make the same sound, record the 5 identified pairs of words and submit them to your teacher. Example: jamn ham Similar Sound: j/h Similar Sound: The Spanish letter j makes the same sound as the English letter h. SpanishSoundEnglishSound Amrica ancient amigo apple indio idea indio indian Hola! Hello! jalapeo house Mara ladder Jaime ham yate yo-yo churro shower The term refers to the muscles' ability to work without fatigue Which army regulation would be referenced if you want to properly mark removable ais storage media? Which table represents a linear function? 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