Mathematics High School

triangle A'B'C is created by dilating triangle ABC by a scale factor of 4. what is the length of AB? The length of A'B'

Triangle A'B'C Is Created By Dilating Triangle ABC By A Scale Factor Of 4. What Is The Length Of AB?

Answers

Answer 1

Answer:

The length of AB is 20 units

Step-by-step explanation:

The given parameters from the graph for coordinates A and B are;

The coordinates of the point A = (1, 4)

The coordinates of the point B = (4, 8)

The length of segment AB is given by the equation for finding the distance, d between two points given their coordinates as follows;

[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

(x₁, y₁) = (1, 4)

(x₂, y₂) = (4, 8)

Substituting gives;

[tex]d_{AB} = \sqrt{\left (8-4 \right )^{2}+\left (4-1 \right )^{2}} = \sqrt{25} = 5[/tex]

The length of [tex]\overline {AB}[/tex] = 5

Therefore, given that ΔA'B'C is created by dilating ΔABC by a scale factor of 4, the length of A'B' = 4 × The length of AB

Therefore, the length of [tex]\overline {A'B'}[/tex] = 4 × The length of [tex]\overline {AB}[/tex] = 4 × 5 = 20

The length of [tex]\overline {A'B'}[/tex] = 20 units.

Related Questions

i need help with this 7th grade

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What is it????

Lol

Step by step explanation:

the slope is 5 passing throught(-1,4)​

Answers

Answer:

eqn of line

5x-y=-9

Step-by-step explanation:

Answer:

y = 5x + 9

Step-by-step explanation:

Assuming you require the equation.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5 , thus

y = 5x + c ← is the partial equation

To find c substitute (- 1, 4) into the partial equation

4 = - 5 + c ⇒ c = 4 + 5 = 9

y = 5x + 9 ← equation of line

Help me !!!
I need this under 10 mins

Answers

Answer:

Any number over 4 i think

Step-by-step explanation:

which is Not equal to thr absolute value of -5?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

ASAP ASAP ASAP ASAP ASAP

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Answer:

A

Step-by-step explanation:

cube!

its hard to explain, but it forms a cube <3

Answer:

its a ccube idiot

Step-by-step explanation:

A car travels 450 miles on 20 gallons of gas.
At that rate, how far will it travel on 30
gallons of gas?

Answers

Answer:

675 miles

Step-by-step explanation:

450 : 2 = 225

10 gallons of gas = 225 miles

225 * 3 = 675

30 miles will get you 675 miles

?

(4 - 7) to the 2nd power -6 x 7 + 20​

Answers

(4-7)^2 -6X7+20 = -13

The metal that is used to hold stained glass pieces together is called __________. a. cement c. paste b. framing d. leading

Answers

Answer:

Paste is the answer if I remember

The metal that is used to hold stained glass pieces together is called... D-leading

Stephanie's cable company charges $29.95 per month, plus $3.00 for each on-demand
movie rented. If Stephanie's cable bill last month was $44.95, how many on-demand
movies did she rent last month?



Pls help me plssssssss

Answers

Answer:

5

Step-by-step explanation:

44.95-29.95=15/3=5

Plssss help what is the value of c

Answers

Answer:

5

Step-by-step explanation: The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answers

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

1. I am looking into a fish tank. I see 5 red fish for every 2 blue fish. If there are 22 red fish,
how many blue fish can you expect?

Answers

Answer:

11?

Step-by-step explanation:

Answer:

probaly about ten or 11 five four times is 20 and they are 22

Step-by-step explanation:

5 + 5 +5 +5=20

then you would do 2 x 4 since five is four times

2 x 4 = 8

so i would round up

solve for x: y=-3x+5

Answers

Answer:

x= (y-5)/(-3)

Step-by-step explanation:

16 Which expression is represented by the model shown below?

Answers

I think it’s the first one

how many meters are equal to 3,736 cm

A. 373.6 meters

B. 3.736 meters

C. 37.36 meters

D. 37,360 meters
​

Answers

Answer:

C

Step-by-step explanation:

3,735 cm = 37.36 meters

A: HL
B: ASA
C: SSS
D: SAS

Answers

Answer:

D: SAS

Step-by-step explanation:

please help thank you​

Answers

Answer:

B

Step-by-step explanation:

A=4 so its wrong cause the original one is 10-12=-2

The number of cookies Natalie can bake varies directly with the time she
spends baking. She can make 3 dozen cookies in 0.5 of an hour. How many
dozen cookies can she make in 5 hours?

Please help fast!!

Answers

We already know that 0.5 of an hour, or half of an hour, is 30 minutes. We also know that 3 dozen equals 36. With this information, we can conclude that Natalie can make 72 cookies in one hour. 72 times 5 is 360. 360 divided by 12 is 30, so, Natalie can bake 30 dozen, or 360, cookies in five hours.

the answer would be 10 dozen cookies

What is the ratio 4:6 in its simplest form


Answers

Answer:

2 : 3

Step-by-step explanation:

4 : 6

Divide each by 2

2 : 3

Answer:

2:3

Step-by-step explanation:

4:6 is the same as 4/6.

And if we divide by 2 so we get 2/3 also known as 2:3.

Hope this helped :D

Use distributive property to rewrite 1/2 (4x - 6)

Answers

Answer:

The answer would be 2x-3

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Answers

Answer:

y=6x^2-30x-84

Step-by-step explanation:

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Answers

Answer:

y=2/5

Step-by-step explanation:

_+;3_;3(_+3++_83 I got you man


Divide. Round your answer to the nearest whole number.
91,543 = 5 =​

Answers

Answer:

i assume you mean divide so its 18308

Step-by-step explanation:

HELP ME PLZZ
Which ratio is equal to 5 to 4

8 to 10
10 to 8
2 to 2
15 to 16

Answers

10 is to 8 is the correct answer . Mark the brainliest pls :)

Answer:

10 to 8

Step-by-step explanation:

1) Try to simplify all of the answer choices

2) Divide all of the numbers by 2

3) Then you'll find that 10 to 8 is equal to 5 to 4

Hope this helps :)

add two fractions please 2/5+1/4

Answers

Answer is 1/2 hope this helps

Answer:

13/20

Step-by-step explanation:

8 more than 2 times a number is 29.

Answers

the answer is 10.5 because the equation is 2x+8=29

Answer:

X = 21/2 = 10 1/2 or 10.5

Step-by-step explanation:

2x + 8:= 29

    -8.      -8

2x. = 21

divde both sides by 2

x = 21/2 = 10 1/2

Compare using >, <, or =.
a. 2 tenths + 11 hundredths O 0.13

Answers

Answer:

2 Tenths > 11 Hundredths

2 Tenths Is Greater Than 11 Hundredths

2 Tenths + 11 Hundredths = 0.31

I cant seem to understand this. Please, someone help :)

Answers

Answer:

76

Step-by-step explanation:

The sales tax rate in New Mexico is 8% You buy an Anime coloring book that is $18. What is the final price of the Anime coloring book? Justify how you determined the final price.

Answers

Answer: $ 19.44

Step-by-step explanation:

Give : Original price of coloring book = $18

Sales tax = 8% =0.08 [we divide number by 100 to remove %]

Now , the final price of the Anime coloring book = Original price + (Original price) x (Sales tax)

=$ ( 18+18 x 0.08)

= $ (18)(1+0.08)

= $ (18)(1.08)

= $ 19.44

Hence, the final price of the Anime coloring book = $ 19.44

A closed circle on the number line indicates the bondary point is included in the solution set. Ture False​

Answers

Answer:

A closed circle on the number line indicates that the boundary point is included in the solution set

Step-by-step explanation:

I think that can help :) wanna chat add me as  frind

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