which equation represents a line which is parallel to the line x-3y=15?

Which Equation Represents A Line Which Is Parallel To The Line X-3y=15?

Answers

Answer 1

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

Answer:

[tex]y = \frac{1}{3}x + 4\\[/tex]


Related Questions

There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)

Answers

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

If A is the least common multiple of 12, 24, and 36, and B
is the lowest prime number, what is the sum of A and B ?

F.
3
G.
4
H.
73
J.
74
K.
145

Answers

Answer:

74

Step-by-step explanation:

A= Least common multiple of 12,24,36

Factors of 12 = 2*2*3

Factors of 24 = 2*2*2*3

Factors of 36 = 2*2*3*3

A = 2*2*2*3*3 = 72

B = Lowest prime number = 2

A+B = 72+2 = 74

Find the values of x and y.

x=

Answers

x = 40°
y = 6

hope this helps!

please help meeeeeeeeeeeeee

Answers

D. alternate exterior angles. they are on the outsides and on opposite sides. hope this helps :)!!
It would be D hope this helps!

I WILL BRAINLIST ITS ONLY ONE PROBLEM !!!!!!!!!!!!!!!

Answers

Answer:

11/200

Step-by-step explanation:

This is the correct answer boo

11/200 is the answer lol

I will give brainliest :D

Which equation matches this scenario?

A family buys 8 tickets to a show. They also pay a $5
parking fee. They spend $61 to see the show.

• 5x+8=61
• 61+8x=5
• 8+5x=61
• 8x+5=61

Answers

8x+5=61 is the answer.

Answer: 8x + 5= 61

Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.

when writing fraction from a graph does the x axis number go on top or bottom​

Answers

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

Linearize the data. Then find the least squares regression equation

Answers

Answer:

C

Step-by-step explanation:

A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40. Suppose an individual is in the 67th percentile in this exam.What is his or her corresponding recidivism score

Answers

Answer:

157.6

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

Mean = 140

Standard deviation = 40

Recidivism score = x score = ??

z = z score of 67th percentile = 0.44

Hence,

0.44 = x - 140/40

Cross Multiply

0.44 × 40 = x - 140

17.6 = x - 140

x = 140 + 17.6

x = 157.6

Therefore, his corresponding recidivism score is 157.6

in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)

Answers

Answer:

The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].

Step-by-step explanation:

Let [tex]\vec u[/tex] and [tex]\vec a[/tex], from Linear Algebra we get that component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] by using this formula:

[tex]\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a[/tex] (Eq. 1)

Where [tex]\|\vec a\|[/tex] is the norm of [tex]\vec a[/tex], which is equal to [tex]\|\vec a\| = \sqrt{\vec a\bullet \vec a}[/tex]. (Eq. 2)

If we know that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec a=(4,-4,2,-2)[/tex], then we get that vector component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] is:

[tex]\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)[/tex]

[tex]\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)[/tex]

[tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]

Lastly, we find the vector component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] by applying this vector sum identity:

[tex]\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}[/tex] (Eq. 3)

If we get that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex], the vector component of [tex]\vec u[/tex] is:

[tex]\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]

[tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex]

The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].

Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid?

Answers

Answer:

So, friend Let me solve the question for you :

let's use disturbutive property

67 x 5 - 67 × 3

67 × (5-3)

67 ×2 = 134

Step-by-step explanation:

Hope it. helps PISas Markbrainliest

Answer:

You got paid $40.20

Step-by-step explanation:

First let's find out how many 5's they gave him:

$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)

Now we find out how much money they gave you:

$3 (how much they give you) x 13.4 = $40.20 (your total money)

If A= (-1,-3) and B= (11,-8) what is the length of AB?

Answers

Answer:

AB is 13

Step-by-step explanation

adult men weights mean of 190 30 3 random men mean weight

Answers

Answer:

is this the question ?

Step-by-step explanation:

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?

Answers

Answer:

he need 84

Step-by-step explanation:

12* 7

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

please mark me brainliesttt

Answer:

38 feet

Step-by-step explanation:

Find the perimeter:

12 + 7 + 12 + 7 = 24 + 14 = 38 feet of fencing

Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?

Answers

Answer:

$13.5

Step-by-step explanation:

l= P×R×T/100

I= 12,500×9×12/100

l= $13,5

The interest earned for his investment after 12 years is $13,500.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, P=$12,500, rate of interest=9% and time period=12 years.

Here, simple interest = (12500×9×12)/100

= 1350000/100

= 13,500

So, the interest is $13,500

Therefore, the interest earned for his investment after 12 years is $13,500.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ3

Write 310,763,029 expanded form

Answers

Answer:

300,000,000

10,000,000

700,000

60,000

3,000

20

9

Step-by-step explanation:

A florist must make 5 identical
bridesmaid bouquets for a wedding. The budget is
$160, and each bouquet must have 12 flowers. Roses
cost $2.50 each, lilies cost $4 each, and irises cost
$2 each. The florist wants twice as many roses as the
other two types of flowers combined.

Answers

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

C.

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

If f(x)=x^2 and g(x) =3x-1 find [g • f](x)

Answers

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

What is 86.929 rounded to the nearest tenth ?

Answers

Answer:

86.9

Step-by-step explanation:

This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.

Enter the equivalent distance in km in the box.

1 km = 1000 m

1 m = 100 cm

35,000 cm =
km

Answers

Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

determine the range of the following graph:

Answers

Answer:

(-15)

Step-by-step explanation:

(-7) - 8 = (-15) (Range is the difference between Max and Min Value)

please follow me and mark as brainliest

Suppose that you roll a die 8 times. What is the probability that you roll a six three or fewer times

Answers

Answer:

0.96

Step-by-step explanation:

Given that the a die is rolled 8 number of times.

[tex]n[/tex] = 8

Probability of getting a 6 on roll of a die,  [tex]p=\frac{1}{6}[/tex]

Probability of not getting a 6 on roll of a die,  [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]

Probability of getting 6 three or fewer times:

[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]

Formula:

[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]

Putting the values using this formula:

[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]

Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2​

Answers

[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]

[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]

[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]

[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]

Review the proof of de Moivre’s theorem (not in order).

Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?

steps B and C
steps B and D
steps C and D
steps C and E

Answers

Answer:

steps B and D

Step-by-step explanation:

the correct chart is below :)

The steps which must be switched to put the proof in order are steps B and D

Since [cos(θ) + isin(θ)]k + 1

= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1

= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]

= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]

= cos(kθ + θ) + isin(kθ + θ)

= cos[(k + 1)θ] + isin[(k + 1)θ]

Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.

So, steps B and D must be switched.

The steps which must be switched to put the proof in order are steps B and D.

Learn more about De Moivre's theorem here:

https://brainly.com/question/11889817

Mary used 1/2 of a can of paint to cover 1/8 of the outside of her house. How many cans of paint will Mary need to cover the entire outside of her house?

Answers

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!

Answers

Answer:

124.35 X 6.75

Step-by-step explanation:

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.

The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

learn more about percentage here :

brainly.com/question/24159063

#SPJ5

Which is a correct way to subtract from a number? (A). Add 100 then subtract 1 (B). Add 100 then add 2. (C). Subtract 100 then add 2 (D). Subtract 100 then add 1.

Answers

Answer:

A is the answer

Step-by-step explanation:

According to BODMAS (or DMAS), first we add and then subtract

if both operations are of add, we add it at the same time

An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the wreck is 4629 meters. What is the height of the plane to the nearest meter?





405 m

Answers

Answer:

The height of the plane is 405 meters

Step-by-step explanation:

Trigonometric Ratios

The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.

Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:

[tex]\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 5^\circ=\frac{H}{4629}[/tex]

We need to find H, so we solve for H:

[tex]H=4629\cdot\tan5^\circ[/tex]

H=405 m

The height of the plane is 405 meters

fplzz ans my question
factorize p^4+4​

Answers

Answer:

Step-by-step explanation:

(p²)²+2²

(p²+2)²-2p²2

(p²+2)²-4p²

(p²+2)²-(2p)²

(p²+2-2p)(p²+2+2p)

Other Questions
What defines a very loose association of strong, independent parts? The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid. In August 1986, a gigantic volume of __________ belched forth from Lake Nyos in Cameroon and swept down the adjacent valleys asphyxiating 1,700 people. I need help Type fast describe the 4 steps of the nitrogen cycle :) Give correct conjugation of ser.Elena y yo what was juice wrlds real name What is the measure of Angle 1 in this figure? A. 30B. 80C. 110D. 130 PLEASE HELP, IM NOT SURE!!!The scale on a map reads 2 inches = 5 miles. What is the actual distancebetween two cities on the map that are 6.5 inches apart?*O A. 2.6 milesB. 13 milesO C.32.5 milesD. 16.25 miles what are the slopes of the two lines? green has two yellow dots. Which sentence is a compound-complex sentence?Grandma knits socks because she has so much free time, but none of us likes wearing them.Without us knowing, our dog leaped over the fence to chase the neighbor's cat.My dad taught me his secret to making a perfect grilled cheese: mayonnaise instead of butter.I need to find a part-time job because I want to go to the music festival this summer. What is the definition of author's purpose?(1 point)the author's topic of the writingthe author's reason for writingthe author's attitude about the topicthe author's main ideaWhat is the definition of point of view?(1 point)the author's topicthe author's attitude toward the topicthe author's main ideathe author's reason for writingAn author's purpose for writing is to inform. How do writers accomplish this purpose?(1 point)by persuading readers to agree with their ideas and think or act differently as a resultby describing people, places, or events in an enjoyable wayby presenting facts to teach their readers about a topicby making readers understand their point of viewRead the following passage. Many people take in their daily dose of caffeine with the first cup of coffee or sips of soda. While a moderate amount of caffeine consumption is safe, experts warn that too much caffeine can pull too much water from a person's body and lead to dehydration. An elevated amount of caffeine can also affect sleep patterns and blood pressure. Make sure to enjoy the right amount of caffeine by following the recommended guidelines and staying below 400 milligrams of caffeine per day.What is the author's point of view?(1 point)Follow the recommended guidelines of daily caffeine consumption to maintain a healthy lifestyle.Dehydration can be avoided by increasing daily water consumption.People should not drink coffee or soda because both beverages contain too much caffeine.The right amount of water regulates functions of the body better than the right amount of caffeine. Which of the following is a "big idea" that London tried to unpack in The Call of the Wild?survival of the fittestthe fall of civilizations and societiesthe structure of governmentsthe evil of man Which phrase would you use to tell someone "I wake up" at a certain time? A. me despierto B. se despiertan C. nos despertamos D. te despiertas What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds. find the 13 term7 la For the sequence 11,13,15,17 PLZ HELP ASAP!!!!!!!!!!!!!!!!!! Find the slope of AB through points A(1,7) and B(-1,4). m of AB= The rest comes after me. Is it correct? PLEASE HELP ME WITH NUMBER 7