8
Given -2x+5y=15, determine the equation of the line of a dilation centered at the origin with a scale factor of
k=3
**MUST SHOW WORK FOR FULL CREDIT**

Answers

Answer 1

Answer:

Angle: A figure formed by two rays or line ... Time Period 3: Geometric Relationships & Properties, 15 blocks ... dilation of the polygon with that point as the center. Identify the scale factor that you used. G-SRT 2. Given two figures, use the ... the circle centered at the origin and ... Write an equation for a circle with a radius of 2.

Step-by-step explanation:

Answer 2

The equation of the line of dilation centered at the origin with a scale factor of k=3 is,

⇒ y' = (6/5)x + 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Now, To find the equation of the line of dilation centered at the origin with a scale factor of k=3,

we need to apply the dilation transformation to the given equation.

First, we need to rewrite the equation in slope-intercept form:

-2x + 5y = 15

5y = 2x +15

y = (2/5)x + 3

Now, we can apply the dilation transformation by multiplying the slope by the scale factor k = 3;

y' = k y

y' = 3 (2/5)x + 3

y' = (6/5)x + 3

Therefore, the equation of the line of dilation centered at the origin with a scale factor of k=3 is,

y' = (6/5)x + 3.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Related Questions

∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP
then the part of ∆ ABC that correspond to:

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given

ABC ↔ RQP

It means

ΔABC ≅ ΔABC

Please check the attached diagram.

Here,

A ↔ RB ↔ QC ↔ P

Parts of ΔABC that correspond to

(i) PQ

From the diagram, it is clear that:

PQ corresponds to CB

(ii) ∠Q

∠Q corresponds to ∠B

(iii) RP

RP corresponds to AC

There are 16 apples in a basket. 7 of these apples are green. The rest of them are red.


(a) What is the ratio of all apples in the basket to red apples?

(b) What is the ratio of green apples to red apples?

Answers

Answer:

(a) 16:9  (b) 7:9

Step-by-step explanation:

(a) 16 - 7 = 9 red apples

The ratio of all apples in the basket to red apples is 16:9

(b) The ratio of green apples to red apples is 7:9

Please mark me Brainliest :)

Which expression has the sum of 11/12

A. 1/12+5/12+5/12

B. 5/4+3/4+3/4

C. 5/6+6/6

D. 10/12+2/12


I’m 13 and don’t understand this at all.

Answers

Answer:

A. 1/12+5/12+5/12

Step-by-step explanation:

From the given options; let us calculate the fractions and see which one tallies with 11/12

a) [tex]\dfrac{1}{12}+ \dfrac{5}{12} + \dfrac{5}{12}[/tex]

The lowest common multiple (L.C.M) here is 12 because 12 goes in all the denominators.

So;

[tex]= \dfrac{1+5+5}{12}[/tex]

[tex]= \dfrac{11}{12}[/tex]

b)

[tex]\dfrac{5}{4}+\dfrac{3}{4}+\dfrac{3}{4}[/tex]

Here, the  lowest number that can be divisible by the denominators is 4

[tex]=\dfrac{5+3+3}{4}[/tex]

[tex]=\dfrac{11}{4}[/tex]

c)

[tex]\dfrac{5}{6}+\dfrac{6}{6}[/tex]

[tex]=\dfrac{5+6}{6}[/tex]

[tex]=\dfrac{11}{6}[/tex]

d)

[tex]\dfrac{10}{12}+\dfrac{2}{12}[/tex]

[tex]=\dfrac{10+2}{12}[/tex]

[tex]= \dfrac{12}{12}[/tex]

= 1

Thus, from the given options, the expression that has the sum of 11/12 is option A.

PLS HELP MY HWS DUE IN 20MINS PLS SHOW WORK TOO TY

solve for x

Answers

Answer:

13x+2+5x-7+3x-4=180

13x+5x+3x=180-2+7+4

21x/21=189/21

X=9

Please put the degrees sign there

Step-by-step explanation:

(2x2 + x + 3) + (3x2 + 2x + 1)

Answers

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power

2x² + x + 3 + 3x² + 2x + 1 = 2x² + 3x²   + x + 2x + 3 + 1

                                        = 5x² + 3x + 4

2.54 + 0.38y = 2(2.61 -0.48y)?
What is the answer

Answers

Answer:

y = 2

Step-by-step explanation:

2.54 + 0.38y = 5.22 - 0.96y

1.34y = 2.68

y = 2

Nick,Jim and June share money in the ratio 5:5:3 in total nick and June received £88 how much does Jim get ?

Answers

Given:

Nick, Jim and June share money in the ratio 5:5:3.

In total Nick and June received £88.

To find:

The amount received by Jim.

Solution:

Let Nick, Jim and June received 5x, 5x and 3x respectively.

In total Nick and June received £88.

[tex]5x+3x=88[/tex]

[tex]8x=88[/tex]

[tex]x=\dfrac{88}{8}[/tex]

[tex]x=11[/tex]

Now, the amount received by Jim is

[tex]\text{Jim get}=5x[/tex]

            [tex]=5(11)[/tex]

            [tex]=55[/tex]

Therefore, the amount received by Jim is £55.

the question is in the picture above^^

Answers

Answer:

BCD = 60

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

those are the steps on the image above hope you understand

In a swimming relay, each swimmer swims an equal part of the total distance. Jayden and 3 other swimmers won a relay in 5.68 minutes. What is the average time each relay team member swam

Answers

Answer:

1.42 minutes

Step-by-step explanation:

There are 4 total swimmers, who all swam an equal part of the distance.

The overal time was 5.69 minutes, so the average time is

5.69 min ÷ 4 = 1.42 minutes, on average.

Help asapppppppppppppppppppppppppppp

Answers

Answer:

27

Step-by-step explanation:

Azli has RM (h²-64). He wants to buy RM (h-8) packs of flour. How much is a pack of flour?​

Answers

Answer:

Cost of one pack = h+8

Step-by-step explanation:

Given that:

Amount Azil have = RM (h²-64)

Packs of flour Azil wants to buy = h-8

To find the price of a pack of flour, we will divide the total amount by packs of flour.

Unit rate = [tex]\frac{h^2-64}{h-8}[/tex]

Unit rate = [tex]\frac{h^2-8h+8h-64}{h-8} = \frac{h(h-8)+8(h-8)}{h-8}[/tex]

Unit rate = [tex]\frac{(h-8)(h+8)}{(h-8)}[/tex]

Unit rate = h+8

Hence,

Cost of one pack = h+8

a storeowner orders 25 calculators that cost $36 each. The storeowner can sell each calculator for $51. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $5 charge for each returned calculator. What is the storeowner's profit?​

Answers

$207 is the answer, multiply 25 x 36 and 22 x 51 and 3 x 5, then subtract the products from the first two multiplications and then subtract 15 and you get your answer.

I WILL GIVE BRAINLIEST PLEASE!!! A cereal company is having a special promotion. Every 4 out of 65 boxes contains a coupon for half off your next box of cereal. Suppose 455 boxes of the cereal are delivered to a grocery store. How many of them can be expected to contain one of the coupons? Set up and solve a proportion to solve the problem. Show your work. (Please help me.)

Answers

Answer:

28

Step-by-step explanation:

4/65 then ?/455

divide 455 by 65 to get 7

4/65=4x7/65x7(455)

4/65=28/455

therefore there are 28 boxes with the coupon out 455

Help me please ASAP!!

Answers

Answer:

The measure of angle A is:

m ∠ A = 53.13°

Step-by-step explanation:

Given

The length AC = 3 cm

The length BC = 4 cm

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

From the right-angled triangle, as shown, it is clear that:

The opposite of m ∠ A is the side BC = 4 cmThe adjacent of m ∠ A is the side AC = 3 cm

Thus, substitute opposite = 4 and adjacent = 3

tan A = 4 / 3

A = arctan (4/3)

A = 53.13°

Therefore, the measure of angle A is:

m ∠ A = 53.13°

Tell whether 72.72 is terminating or repeating.

Answers

Answer:

terminating

Step-by-step explanation:

it would be repeating if it said 72.72727272...

Answer:

terminating

Step-by-step explanation:

only if it keeps going or has a bar over a number after the decimal point then it would be repeating

adita spends more than 24 dollars at the gift shop she buys a mug for 9 dollars and 3 books that cost the same amount which inequality shows the cost in dollars d of each book answers

Answers

Answer: x > 5.

Step-by-step explanation:

The information given in the question can be expressed in an equation as:

Let the cost of each book be x

Cost of mug + Cost of books > 24

9 + (3 × x) > 24

9 + 3x > 24

3x > 24 - 9

3x > 15

x > 5.

Therefore, each book cost more than $5.

A $229 flight is marked up 60%. What is the selling price?

Answers

Answer:

366.4

Step-by-step explanation:

229 * 160 / 100 = 229 * 8 / 5 = 229 * 1.6 = 366.4

If helpful pls give 5 star, brainliest, and thanks!

Answer:

366.4

Step-by-step explanation:

229 marked up by 60% is 137.4 plus the origonal price is 366.4 So Thats Your Answer

48 kilometers in 3 hours
kilometers per hour

Answers

Divide 48 by 3 to figure out how many km/h it is going so...

48/3=16
and if you are using sig figs it would still be 16.

HELP ME!!!! giving 40 points and brainliest!!!!

Answers

Answer:

Step-by-step explanation:

17.7+8.3+13.0+2090=24.805g

2 1/4 =1 2/7 ÷x

what is the value of x

Answers

21/4=12\7:x

21 se simplifică  cu  7 și o să ne dea 3

și 1

12 se simplifică cu 4 și o să ne dea

3 și 1

3\1=3\1:x

x=3x3

x=9

Answer:

x = 0.327

Step-by-step explanation:

[tex]\frac{21}{4}[/tex] = [tex]\frac{12}{7}[/tex] ÷ x

[tex]\frac{21}{4}[/tex] = [tex]\frac{12}{7}[/tex] × [tex]\frac{1}{x}[/tex]

[tex]\frac{21}{4}[/tex] = [tex]\frac{12}{7x}[/tex]

[tex]\frac{21}{4}[/tex] x 7x = 12

[tex]\frac{147x}{4}[/tex] = 12

147x = 12 x 4

x = 48 ÷ 147

x = 0.327

If f(x) = x+7 and g(x)=1/x-13, what is the domain of (f.g) (x)?

Answers

Answer:

The domain of f is all real numbers (since it is a polynomial), hence the value of g(x) is not restricted in any way.

7.4.5 practice problems math 7th grade

Answers

Did you post what you need help on? I can’t see it

Find the perimeter of the figure.

Answers

You can add the length of the sides to find the perimeter.
8 + 8 + 7 + 12 = 35 inches

Answer:

35

Step-by-step explanation:

Just add up all the sides

what is 1080 divided by 45

Answers

Answer:

24

Step-by-step explanation:

thats the answer

What is the scale factor of 0.75?

Answers

Answer:

n × scale factor = n prime

n × 0.75 = n′

In other words per the equation above, a Scale Factor of 0.75 is the factor that you would multiply with n to get n′.

Step-by-step explanation:

Hope it helps

Answer:

0.56 i believe

Step-by-step explanation:

If s(t)=4^3t, what is s(-1)?

Answers

Answer:

Step-by-step explanation:

we can write -1 for;

s(-1)= 4^3(-1)

4^-3 = 1/64

A salesman needed to sell a four–wheeler. He priced it at $3,500 the first day it was on the market. The second day he reduced the price by 15%. What was the price of the four–wheeler after this reduction?

Answers

$2975 after the reduction

Evaluate the following expression: (3 · 3)2 - 23
A.
10
B.
12
C.
73
D.
75

Answers

This is really hard I’m going to help you just let me do the work
3 times 3 equals 9 and 2-23 equals 21

or you’re probably distributing so 3 times 2 equals 6 now 3 times 3 times -23 equals -69
basically the same thing all over again so sorry I tried to help

Taliyah has 174 coins in her collection of dimes and nickels. The total value of the collection is $15.20. How many dimes does she have in her collection?

Answers

Answer:

130 dimes

Step-by-step explanation:

A nickel is worth 5 cents = 0.05n

A dime is worth 10 cents = 0.10d

Taliyah has 174 coins in her collection of dimes and nickels.

n + d = 174

n = 174 - d

The total value of the collection is $15.20.

0.05n + 0.10d = $15.20

We substitute 174 - d for n

Hence:

0.05(174 - d) + 0.10d = 15.20

8.7 - 0.05d + 0.10d = 15.20

- 0.05d + 0.10d = 15.20 - 8.7

0.05d = 6.5

d = 65/0.05

d = 130 dimes

The number of dimes she has in her collection is 130 dimes

Gwen's blog post about camping has 70 comments. 30% of the comments were questions for Gwen about camping gear. How many of the comments were questions about camping gear? Pick the model that represents the problem.

Answers

To figure out how many of the 70 comments were those about questions for Gwen about camping gear, you need to first find the decimal of 30%, which is 0.3. Then the equation should be:

70 x 0.3

Answer: 21

Answer:21 comments about camping gear

Step-by-step explanation: Because percentages are just fractions out of 100, we know that 30% is 30/100. If you multiply 30/100 by 70, you get 21.

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