Mathematics High School

Line n is defined by the equation y = 3x - 5. If line n undergoes a dilation with a scale factor of 3 and center P, which equation will define the image of the line?


A. y = 3x + 13

B. y = 3x - 23

C. y = 9x - 5

D. y = 9x - 15

Line N Is Defined By The Equation Y = 3x - 5. If Line N Undergoes A Dilation With A Scale Factor Of 3

Answers

Answer 1
i think the answer is B pls don’t get mad if it wrong . and i tried
Answer 2

The required equation for the dilated image of the line is y = 9x - 15. Option D is correct.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
Line n is defined by the equation y = 3x - 5.
Line n undergoes a dilation with a scale factor of 3 and center P,
Since the dilation of line n with factor 3, increase the slope of a line by 3 times and change the intercept simultaneously.

y = 3(3x - 5)

y = 9x - 15

Thus, the required equation of dilated image of the line is y = 9x - 15.

Learn more about Scale factors here:

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Related Questions

Put these in order starting from the smallest
62
34
25
59

Answers

Answer:

25 34 59 62

Step-by-step explanation:

easy shi thanks

25

34

59

62

Hope this helped

what is the simplest form of this ratio?
100:40:20

Answers

Answer:

52

Step-by-step explanation:

3
42 ➗ (15-2)
I don’t know know to do this

Answers

Answer:

Step-by-step explanation:

42/13=4

Suppose Metro by T-Mobile wants to offer a simple extended warranty plan. If your phone is damaged, they will repair it for up to $50. If you lose or destroy your phone, they will give you a $200 voucher towards a new phone. The company believes that 5% of customers will need the replacement voucher and 10% will request a repair. What is the standard deviation?

Answers

Answer:

45

Step-by-step explanation:

Given that :

Voucher awarded (x) :

Repair = $50

Lose or destroy = $200

P(x):

Replacement voucher = 5%

Repair voucher = 10%

X ______ 50 ______ 200

P(x) ____ 0.1 _______ 0.05

Expected variance Var(X) :

ΣX²p(x) - E(x) ;

E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15

ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250

Var(X) = 2250 - 15^2 = 2025

Standard deviation = √Var(x)

Standard deviation = √2025

Standard deviation = $45

please help me with this I'll give brainliest to best answer!

Answers

Answer:

Liner

Step-by-step explanation:

17,21,18,20,24

4.5.11
Mohamed wrote the paragraph proof to show that ADEG AEFG. What mistake did he make?
ADEG and AEFG are right triangles.
The figure shows DE = EF, AND
EG EG by the Reflexive Property.
Therefore, by the HL theorem,
ADEG AEFG
G
X Х
Choose the correct answer below.
O A. The two triangles are congruent by SAS, not the HL Theorem.
O B. In AEFG, EF is a leg and in ADEG, DE is the hypotenuse, so they cannot be corresponding sides.
O C. The two triangles are congruent by SSS, not the HL Theorem.
OD. In AEFG, EG is a leg, and in ADEG, EG is the hypotenuse, so they cannot be corresponding sides.

Answers

Answer:B?

Step-by-step explanation:

The two triangles are congruent by SAS, not the HL theorem. Therefore, the correct answer is option A.

Triangle DEG and triangle EFG are right triangles.

The figure shows DE=EF (Given)

EG=EG by the reflexive property.

Therefore, by the HL theorem, Triangle DEG and triangle EFG are congruent.

Here, Mohamed stated postulate wrong.

By SAS postulate, Triangle DEG and triangle EFG are congruent.

Therefore, the correct answer is option A.

To learn more about the congruent theorem visit:

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Question 2 of 10
Is ABC - ALMN? If so, name which similarity postulate or theorem applies.
B
75°
75
50"
А
50"
C
N
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

A

Step-by-step explanation:

two of the triangles' corresponding angles are the same even if the side lebgths are not, making these two similar

By AA similarity triangle ABC and triangle LMN are similar. Therefore, option A is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

In the given triangle ABC, ∠A=50° and ∠B=75°.

In the given triangle LMN, ∠L=50° and ∠M=75°

From the given triangles,

∠A=∠L=50°

∠B=∠M=75°

By AA similarity triangle ABC and triangle LMN are similar.

Therefore, option A is the correct answer.

To learn more about the similar triangles visit:

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the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what is the volume of the cylinder.

Answers

Answer:

Step-by-step explanation:r=12cm,h=18cm,v=?

Vol. Of a cylinder=Πr²h

V= Π×12²×18

V= Π×144×18

V=2592Πcm³

What is the Slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

●••□■♤□●|□¤○|€♡■●~3}£₩9¥¥♡♡■{{6899

What percent of 35 is 21

Answers

Answer:

7.35

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Hope this helps!!!

Can I have Brainliest???

what is the answer?​

Answers

Answer:

HL

Step-by-step explanation:

The hypotenuse and the "leg" are congruent...along with the 90 degree angle.

"The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent." - Calcworkshop

The correct answer HL

Pls Help plsssssssss

Answers

one solution would be the answer

A car lot owner is trying to get rid of this year's inventory to make room for the new vehicles. He paid $25,599 for a red truck. If he sells it to a customer for $22,000, what mark down percentage did he use?

Answers

Answer:

14%

Step-by-step explanation:

Step one

given data

Cost price of vehicle=  $25,599

Selling price of vehicle= $22,000

Required

The percentage discount in the price

Step two:

% discount= cost price-selling price/cost price*100

% discount= 25,599-22,000/25,599*100

% discount= 3599/25,599*100

% discount= 0.140*100

% discount= 14%

The mark down percentage use is 14%

7x – 2y = -5 which is the correct answer help a homie out pls

Answers

Neither of those work for that equation

We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is

ℎ= -16^2 + 256 + 1680

a.) Find ℎ when = 3.

b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?

c.) How long does it take for the object to reach a height of 2640 ft?

d.) How long does it take for the object to hit the ground?

Answers

Answer:

a) The height of the small object 3 seconds after being launched is 2304 feet.

b) The small object ascends 128 feet between 5 seconds and 7 seconds.

c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) The object will take 21 seconds to hit the ground.

Step-by-step explanation:

The correct formula for the height of the small object is:

[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)

Where:

[tex]h[/tex] - Height above the ground, measured in feet.

[tex]t[/tex] - Time, measured in seconds.

a) The height of the small object at given time is found by evaluating the function:

[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]

[tex]h(3\,s) = 2304\,ft[/tex]

The height of the small object 3 seconds after being launched is 2304 feet.

b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:

[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]

[tex]h(5\,s) = 2560\,s[/tex]

[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]

[tex]h(7\,s) = 2688\,s[/tex]

We notice that the small object ascends in the given interval.

[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]

[tex]\Delta h = 128\,ft[/tex]

The small object ascends 128 feet between 5 seconds and 7 seconds.

c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:

[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)

All roots of the resulting equation come from the Quadratic Formula:

[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]

The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:

[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)

All roots of the resulting equation come from the Quadratic Formula:

[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]

Just the first root offers a solution that is physically reasonable.

The object will take 21 seconds to hit the ground.

If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly

Answers

i believe you would do 5x7
for every one mom duck there’s 7 babies
so therefore if you had 5 momma ducks you would have 35 ducklings
hope this helps!

Answer:

There would be 35 ducklings

Step-by-step explanation:

If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.

7 x 5 = 35

Which equation could be used to find the value of x in the triangle below? (pls help)

Answers

Answer:

B.

Step-by-step explanation:

All of it needs to add up to 180

So you have

2x + 4x+10 + 6x-10 = 180

Combine like terms

12x=180

B- 12x = 180 because all of the numbers need to equal to 180

Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?

Answers

Yes I need point lol Ik

The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8

Answers

The answer is B. y=4x + 11

The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?

Answers

Answer:

The equation which correctly relates x and y is y = 4x

Step-by-step explanation:

The equation of the direct variation is y = k x, where

k is the constant of variationTo find the value of k, use the initial values of x and y

∵ The variables x and y vary directly

→ Use the form of the equation above

∴ y = k x

∵ When x = 13, y = 52

→ That means the initial values of x and y are 13 and 52

∴ x = 13 and y = 52

→ Substitute them in the equation above to find k

∵ 52 = k (13)

∴ 52 = 13k

→ Divide both sides by 13

∴ 4 = k

∴ The value of k is 4

→ Substitute it in the equation

∴ y = 4x

∴ The equation which correctly relates x and y is y = 4x

Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?

Answers

jesus do be gettin buff doe

$36 - $12.75 =
Pls answer

Answers

$36 - $12.75 is $23.25

What is the measure of <6
<6=

Answers

Answer:

20/20

Step-by-step explanation:

Find the value of 3w-1 given that - 2w+8= 6.
Simplify your answer as much as possible.

Answers

Answer:

-4

Step-by-step explanation:

Given 2w + 8 = 6, find w

2w = -2w = -1

found w = -1, sub it into 3w - 1

3w - 1 = 3(-1) -1-3 - 1= -4

Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)

Answers

Given:

The relations in the options.

To find:

The relation which is a function.

Solution:

Consider the options are :

(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}

(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}

(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}

(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}

A relation is a function if there exist a unique y-value for each x-value.

In option (a), y=7 and y=1 at x=2. So, it is not a function.

In option (b), y=-3 and y=3 at x=9. So, it is not a function.

In option (c), y=0 and y=1 at x=3. So, it is not a function.

In option (d), there are unique y-value for each x-value. So, it is a function.

Therefore, the correct option is (d).

Which expressions are equivalent to (5g+3h+4)•2?

Answers

Answer:

nc

Step-by-step explanation:

nc

In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°

Answers

Step-by-step explanation:

3x -1 +2x + 4 x +1 = 180

9x = 180

X= 20

<ABC = 59

< CB D = 40

< DBE = 81

find the sum of 10x^2-6 and x +6​

Answers

Answer:

10x2+x

Step-by-step explanation:

A contestant in a game show has​ 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word​ "lose" suggest a positive integer or a negative​ integer? What integer represents a loss of 750​ points?

Answers

This question is incomplete

Complete Question

A contestant in a game show has​ 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word​ "lose" suggest a positive integer or a negative​ integer? What integer represents a loss of 750​ points?

a) Positive, + 750

b) Positive , - 750

c) Negative , +750

d) Negative , - 750

Answer:

d) Negative , - 750

Step-by-step explanation:

We are told in the question that the contestant has 9000 points

Then he loses 750 points.

This means that the 750 points would be deducted from the 9000 points he the contestant has already.

The word lose is a negative and it carries the Subtraction (-) sign,

hence, lose suggests a negative integer which is given as:

-750

Option d is the correct option

Answer the link at the bottom plz

Answers

Answer:

2/3

Step-by-step explanation:

24students - 8 boys = 16 girls

16/24

2/3

Answer:

[tex]\frac{16}{24}=\frac{2}{3}[/tex]

also

[tex]\frac{8}{24} =\frac{1}{3}[/tex]

Step-by-step explanation:

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