the equation of a line is shown

6x-3y=5
a dilation c entered at the origin with a scale factor of 6 is applied to this line

A: what is the slope of the line after dilation
B: what is the value of the y-intercept of the line after the dilation ​

Answers

Answer 1

Answer: See below

Step-by-step explanation:

Let us write the equation of the given line in standard form:

[tex]6 x-3 y=5 \quad \Rightarrow \quad y=2 x-\frac{5}{3}[/tex]

A. The line moves away from the origin by a scale factor of 6, but its inclination still remains the same. Therefore, after any dilation, the slope of that line never changes.

Thus, the slope of the given line after dilation will be the same as the original slope, which is m = 2.

B. The x-intercept of the line before dilation will be given by substituting x = 0 in the given equation as shown below:

[tex]y=2(0)-\frac{5}{3}=-\frac{5}{3}[/tex]

Now, the y-intercept of the line after the dilation will be given by:

[tex]6\left(-\frac{5}{3}\right)=-10[/tex]


Related Questions

Can anyone help please?

Answers

Answer:

1)8293

2)8378

srry thts all i could answer :/

Step-by-step explanation:

A researcher decides to split scores on an exam into quartiles. She determines that a score of 64 is at the 25th percentile, a score of 74 is at the 50th percentile, and a score of 80 is at the 75th percentile. What is the interquartile range (IQR) for these data

Answers

Answer:          IQR = 16

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25    50   75

 score        : 64    74    80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is  observation

term

If the number of observations is even, then the median is  observation and  observations.

given n=3, middle term is '74'

In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

                                      = 80-64

                                      = 16

                           IQR = 16

please help and explain why Geoff is incorrect

Answers

Answer:

Craig

Step-by-step explanation:

We can see this with an equation :)

Craig equation: 3x

Geoff: 1/2x

If we put in values for x, we can see who is going faster :)

Craig: 3(2)

6

Geoff: 1/2(2)

1

Have an amazing day!!

Please rate and mark brainliest!!

The selling price of a compact disc player is $198. The markup rate used by the seller is 50%. Find the cost of the compact disc player.​

Answers

Answer:

The selling price of a compact disc player is $219. The markup rate used by the seller is 50%. Find the cost of the compact disc player.

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

198 × 50%

198 × 50/100

198 × 1/2

198/2=84

Someone please help me I don’t understand this

Answers

Answer:

huh

Step-by-step explanation:

solve for x x/8 -7 = -6

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

solve for x by simplifying both sided of the equation then isolating the variable

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.

-4, 12, -36, 108, -324, …
My answer below?
12, - 4 = 8
4 -12= -8 (neither)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the ratio between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]

[tex] \sf{ \dfrac{12}{-4} = -3} [/tex]

[tex] \sf{ \dfrac{-36}{12} = -3} [/tex]

[tex] \textsf{Since the common ratio is same, } [/tex] [tex] \textsf{we can infer that it's a geometric progression} [/tex] [tex] \textsf{with common ratio of -3} [/tex]

Answer:

okay

Step-by-step explanation:

[tex]for arithmetic \: progression \: there \: must \: be \: a \: common \: difference \\ \\ to \: get \: common \: difference \: {d} \: \\ get \: the \: the \: term \: infront \: minus \: the \: term \: before \\ say \: d = 12 - ( - 4) = 16 \\ d = - 36 - 12 = - 48 \\ d = 108 - ( - 36) = 144 \\ since \: d \: isnt \: uniform \: this \: is \: not \: arithmetic \: progression \\ \\ for \: geometric \: progression \: there \: must \: be \: a \: common \: ratio \: {r} \\ r \: is \: got \: by \: dividing \: the \: term \: infront \: by \: the \: term \: behind \\ \\ say \: r = 12 \div ( - 4) = - 3 \\ r = ( - 36) \div 12 = - 3 \\ r = 108 \div ( - 36) = - 3 \\ since \: r \: is \: the \: same \: this \: is \: a \: geometric \: serie[/tex]

pls help its due today

Answers

Answer:

My reasonable answer would be that it was a translation and then dilation

Step-by-step explanation:

PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS

Answers

Answer:

A: (x, y) → (x + 1, y + 2); (-2, 6)

Step-by-step explanation:

The A vertex started at (-3, 4), [ x = (-3) , y = 4 ]The triangle translates two units up meaning y+2The trinalge also translates one unit to the right meaning x+1, but if it was to the left it would be minus, since we are basically graphing x and y.Equation needs to have x + 1 and y + 2 which is only found in the answer A equation. (x + 1, y + 2)Verify X and Y final vertex. x originally equalled (-3), if we take that integer and +1 we get (-2). and the same for y, y originally equalled 4, if we take that number and +2 we get 6.which makes (-2, 6)

Which perfectly equals our selected equation. The answer is A.

Hope this helped :)

Alicia cashed half of her paycheck and set aside the other half to take her friends out to dinner. She spent 42.15 on dinner and brought home more than 20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck.

Answers

Answer: = x > $124.3

Step-by-step explanation:

Alicia's Paycheck = x

Took half money for dinner x/2

She spent $42.15 on dinner and she brought home more than $20.00

.x/2 - $42.15  > $20.00

 => x/2 > $62.15

=> x > $124.3

I hope that helps! Have a great day!!

Mr. and Mrs. Hodges are shopping for

a new vehicle. They found these prices

for cars that suit their family's needs:
26,500 23,400, 19,950, 47,800 16,800 18,400



What are the mean and median of the

prices they found?

Answers

Answer:

See below

Step-by-step explanation:

Arrange the list in ascending order

16 800   18400    19 950    23 400    26 500    47 800

MEDIAN is the middle number ...since there are TWO in the middle it is the average of the two    (19950 + 23400) /2 = 21675

MEAN is the average...add all of the numbers and divide by 6

   = 25475

There are seven cows in a pasture and five of those cows are red. What
fraction of the cows are red?

Answers

Answer:

5/7

Step-by-step explanation:

Since we have 7 cows in total our denominator would be 7 for now. 5 of the cows are red, so 5/7. Since we can't simplify 5/7 that is our final answer.

Hope this helps!!

What is an equivalent decimal for 6.0250?

Answers

decimal from 6.0250 to 60250. is moving it four decimal places, so that is the same as multiplying by 1 followed by four zeros). This means that an equivalent fraction is 60250 / 10000.

Find the greatest common factor (GCF) of 8x and 18.

Answers

Answer:

2

Step-by-step explanation:

8:    2 2 2  

18:   2 9

GCF:    2

Hope it helps! Brainliest Please

If m angle = 125°, what are the measures of angle 5, angle 6, angle 7 and angle 8

Answers

Answer:

5 - 55

6 - 125

7 - 55

8 - 125

Step-by-step explanation:

6 is 125 because of alternate interior angles.

8 is 125 because of vertical angles

5 is 55 because of supplementary angles

8 is 55 because of vertical angles (to 5)

im SUPER confused who's Candice?

Answers

Answer:

Whoes Joe?

Step-by-step explanation:

Given that a randomly chosen US Airways (US) flight arrives in Denver (DEN), what is the probability that it arrives on time?

Answers

Using the stated percentage, it is determined that it has a 0.877 = 87.7% chance of arriving on time.

The number of desired outcomes divided by the total number of outcomes yields a probability.

A percentage can be regarded as a probability over a big sample.

In this question, 87.7% of flights arrive on time in Atlanta, based on a significant number of flights. As a result, there is a 0.877 = 87.7% chance that it will arrive on time.

Answer: 86.1%

Step-by-step explanation:

Pls explain how you got ur answer

Answers

Answer:

$33012

Step-by-step explanation:

Total Monthly Budget= $ 2751

Total Yearly Budget=2751×12=$33012

What is the value of X?

Answers

[tex]3x + x - 4 + 100 = 180[/tex]

[tex]4x + 96 = 180[/tex]

[tex]4x = 180 - 96[/tex]

[tex]4x = 84[/tex]

[tex] \frac{4x}{4} = \frac{84}{4} [/tex]

[tex]x = 21[/tex]

find the domain and range there a picture
explain

Answers

Answer:

Below.

Step-by-step explanation:

The Domain is All Real x.

The minimum value of f(x) is -9, so:

the range is f(x) ≥ -9.

solve 3x-2/4 - 2x+5/3 = 1-x/6

Answers

Answer:

Pasos para resolver una ecuación lineal

3x−2/4−2x+5/3=1−x/6

Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.

36x−3×2−24x+20=12−2x

Multiplica −3 y 2 para obtener −6.

36x−6−24x+20=12−2x

Combina 36x y −24x para obtener 12x.

12x−6+20=12−2x

Suma −6 y 20 para obtener 14.

12x+14=12−2x

Agrega 2x a ambos lados.

12x+14+2x=12

Combina 12x y 2x para obtener 14x.

14x+14=12

Resta 14 en los dos lados.

14x=12−14

Resta 14 de 12 para obtener −2.

14x=−2

Divide los dos lados por 14.

x=

14

−2

Reduzca la fracción  

14

−2

 a su mínima expresión extrayendo y anulando 2.

x=−

7

1

Step-by-step explanation:

Determine the equation of the line with the following characteristics.

Slope 3, passing through (2,3) and (-1,9)

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

Given, (2,3) and (-1,9), m = 3

Equation of a straight line is y = mx + c

Here, y = 3, x = 2 and m = 3

Substituting the values in y = mx + c we get,

3 = 3(2) + c

c + 6 = 3

c = 3 - 6

c = -3

So, the equation of the line is y = 3x - 3  (Answer).

what is BOC? please help me!

Answers

OA, OB, and OC are all radii of the circle so they have the same length, 12 in. ∆ AOB is therefore isosceles, so the angles at the vertices A and B are congruent. The interior angles of any triangle sum to 180° in measure, so

30° + 2 m∠A = 180°   ⇒   m∠A = 75°

Draw an altitude in ∆ AOB that connects the vertex O to the midpoint of AB; this is the height h of ∆ AOB and bisects ∆ AOB into two 15°-75°-90° right triangles. Solve for h and the length of the base AB using trigonometry:

sin(15°) = (AB/2) / (12 in)   ⇒   AB = (24 in) sin(15°) ≈ 6.212 in

sin(75°) = h / (12 in)   ⇒   h = (12 in) sin(75°) ≈ 11.591 in

Then the area of ∆ AOB is

1/2 (AB) h = (144 in²) sin(15°) sin(75°)

= (72 in²) (cos(60°) - cos(90°))

= 36 in²

where we use the identity

sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Let m∠BOC = θ. Then

(area of sector BOC) / θ = (area of ⊙O) / 360°

Solve for θ :

θ = (area of sector BOC) / (area of ⊙O) • 360°

θ = (36 in²) / (π (12 in)²) • 360°

θ = (90/π)° ≈ 28.648°

A business advertises that everything in the store is an additional 10% off the already reduced prices. marcus picks out 2 shirts that are on a 30% off rack. if the shirts are originally priced at $28.99 and $30.29 and there is 6% sales tax, how much does marcus end up paying for them? a. $39.59 b. $37.70 c. $37.35 d. $35.57

Answers

The amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

Cost of two shirts originally is $28.99 and $30.29

30% is off on each of them, so we get:

New price of each shirt = Old price of each shirt - 30% of old price of each shirt

New price of each shirt = [tex]28.99 - \dfrac{28.99}{100} \times 30[/tex] and [tex]30.29- \dfrac{30.29}{100} \times 30[/tex]

This sums up to $41.496

Now, at this price, there'd be application of 10% additional discount.

That will make the new price as:

[tex]41.496 - \dfrac{41.496}{100} \times 10 =37.3464[/tex]

Now, on this price, there'd be applied 6% sales tax

So, the amount he paid for 2 shirts = discounted price + 6% tax on discounted amount

= [tex]37.3464 + \dfrac{37.3464}{100} \times 6 \approx 39.59 \: \rm dollars[/tex]

Thus, the amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

Learn more about percent here:

https://brainly.com/question/11549320

The population of Augusta, WI, had a population of 1253 in 2000. If the population increased by 3% each year, what would be the population of Augusta in 2016? 2611 2010 1854 601

Answers

Answer:

2010

Step-by-step explanation:

What is the probability that if a coin lands on heads and the number cube shows 5

Answers

Answer:

Not sure

Step-by-step explanation:

Well I’m just guessing these numbers but…

For the coin it is one minus the probability of the coin landing on tails minus the tiny probability of the coin landing on its edge and balancing there. So something like (1 - 0.499 999 5 - 0.000 001), or 0.499 995; call it as near 0.5 as makes no difference.

For the number cube it is one minus the probability of the cube landing on one, three or five minus the tiny probability of the coin landing on an edge or the even tinier probability of it landing on a corner and balancing there. So something like (1 - 3 * 0.166 666 - 12 * 0.000 000 36 - 8 * 0.000 000 08) , or 0.499 998; call it as near 0.5 as makes no difference.

So the joint probability is the first probability times the second. So 0.5 * 0.5 which is 0.25 for all intents and purposes

(copied from Quora)

Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t

Find the theoretical and practical domains of the equation.

Select ALL correct answers.

Question 4 options:

The practical domain is all real numbers.


The theoretical domain is all real numbers.


The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.


The practical domain is all real numbers greater than or equal to one and less than or equal to two.

Answers

B is true; pi= ~3.14. 3+4 is equal to 7, so because pi is greater than 3, pi+4>7

Opal is buying chocolates and flowers for valentine's day. She pays $15 for each bouquet and $5.80 for each box of chocolates. Her total bill comes out to $218.20 and she bought a total of 17 items. How bouquets and how many boxes of chocolates did she buy?

Answers

Set your equation up

$15(b)+$5.80(c)=$218.20

B + C =17 Total

15(13)+5.80(4)=218.20

13+4=17 Total

Answer is 13 bouquets and 4 boxes of chocolate.

What is the surface area of a cube that’s measured 8 inches

Answers

Answer:

2

Step-by-step explanation:

Haven't done this in awhile but I think it's 2 because if you cube 2 it comes to 8. L x W x H = 8 | 2 x 2 x 2 = 8

Joe's pizza shack sell $5 pizza. If Joe raises the price by 20% , what is the amount of the mark-up?

Answers

Answer:6 dollars

Step-by-step explanation:5 +20% gives you 6 which would be the ending price

20% of $5 = $1 so the mark up is $1
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