4.1 Warm-Up

Tuesday
Video Example:

Write the algebraic rule that represents the dilation that was applied.



You Try:

Which rule best represents the dilation that has been applied?

(x, y) → (2x, y)

(x, y) → (0.5x, 0.5y)

(x, y) → (2x, 2y)

(x, y) → (2 + x,2 + y)

Wednesday
Video Example:
Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)(0.5x, 0.5y) to create Triangle X’Y’Z’. Which statement is true?

Triangle A’B’C’ is larger than Triangle ABC, because the scale factor is greater than 1

Triangle A’B’C’ is smaller than Triangle ABC, because the scale factor is less than 1

Triangle A’B’C’ is smaller than Triangle ABC, because the scale factor is greater than 1


You Try:
A figure will be dilated on a coordinate grid to create a smaller figure. The figure is dilated using the origin as the center of dilation. Which rule could represent this dilation?

(x, y) (0.5 + x, 0.5+y)

(x, y) (0.5 - x, 0.5-y)

(x, y) (32x, 32y)

(x, y) (23x, 23y)

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The question is not complete but i would show how to solve.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, rotation, translation and reflection.

Dilation is the enlargement or reduction in the size of a figure.

a) If an point A(x, y) is dilated by a factor k, the new coordinate is A'(kx, ky). From the above options the ones that represent dilation is (x, y) → (0.5x, 0.5y)  and (x, y) → (2x, 2y) . If the object is reduced then the correct option is (x, y) → (0.5x, 0.5y)   while if the object is enlarged the correct option is (x, y) → (0.5x, 0.5y)

b)Dilation is the enlargement or reduction in the size of a figure by a factor k. If k < 1, then it is a reduction and if k > 1, it is an enlargement.

Since Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)⇒(0.5x, 0.5y) to create Triangle X’Y’Z’, since the factor is less than 1(0.5 < 1), it is a reduction. Hence Triangle X’Y’Z’ is smaller than Triangle XYZ, because the scale factor is less than 1

c) The dilation creates a smaller figure hence the factor of dilation should be less than 1.


Related Questions

Ignore number 6, I need help with number 5. Please help!!!

Answers

Answer:

the answer would be 47.75981574 or 47.76

Answer:

3- 47.76

Step-by-step explanation:

hundredth is the 2 place after decimal, so we can also say 2 d.p for rounding to the nearest hundredth

Which is an equation of a direct proportion?

Answers

Answer:

y=-3x

Step-by-step explanation:

The meaning of direct proportion is that the ratio remains the same, and the ratio will only remain the same if y= a constant number into x

Rewrite the following equation in slope-intercept form.

x − 19y = 16


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Pretty Sure it’s y=x+(-.8) haven’t done algebra in a bit. Sorry if wrong. :/

I'm done with this test, just exhausted from it. Brainly do your magic.

Answers

Answer:

4.5

Step-by-step explanation:

when the height is 0 the ball will hit the ground

so the equation is

-12t²+54t=0

12t²-54t=0

2t²-9t=0

t(2t-9)=0

t=0

t=4.5

so the answer is

4.5

HELPP PLEASE WITH EXPLANATION THANK YOUU!!

Answers

Answer:

Step-by-step explanation:

25 feet per minute

in 10 minutes

25ft*10=250ft

the diver is 250+200=450

the diver was at 450 below the sea level

Answer:

450 feet below sea level

Step-by-step explanation:

So:

We are looking at 10 minutes ago. If he is being pulled up, that means before he was even more down.

Therefore 25 feet is 1 minute so 10 minutes is 250 feet.

As he was more down below sea level you add 200 feet below sea level with 250 feet below sea level.

This will give you 450 feet below sea level.

I hope this helps!

Please can I have brainliest?

Also can you thank my answer and rate it 5.

:)

Which expression is equivalent 7x +49

Answers

For x = 4

7 x 4 + 49 = 77

Answer Is 77

Answer:

Step-by-step explanation:

Here yo go mate'

step 1

7x +49  equation

step 2

7x +49  simplify

7(x+7)

answer

7(x+7)

4) A rectangle as a length which is twice its width.
Which of the expressions below can be used to
express the perimeter of the rectangle? Select all
that apply.

(a) 2(x) + 2(2w)
(b)x
(c) 3x
(d) 2(x + 2x)


Answers

Answer:

D.

Step-by-step explanation:

2 is it's length while in the perinthesis is x for its length plus the width which is doubled, explained by the x.

Henry has 6/8 of a yard of fabric. He needs 1/4 of a yard to make a small pillow. How many pillows can he make?

Answers

Answer:

3

Step-by-step explanation:

6/8 is equal to 3/4.

3/4 divided by 1/4 is 3

Elena Carlos sold a house for $145,000. If her commission is 5%, how much did she earn?
Show work

Answers

Answer:

7250

Step-by-step explanation:

145,000

x

0.05

145000 / 100 = 1450.

1450 x 5 = 7250

Which degree rotation makes the
image upside down?

Answers

Answer:

Rotate the image by 90 degrees (left) Rotate the image by 180 degrees (upside down) Rotate the image by 270 degrees (right) Rotate the image by 360 degrees (original position) Rotate the image by 90 degrees. Rotating the image by 90 degrees would flip the image to the left side.

Step-by-step explanation:

-5m - 2n when m = 6 and n = -2
Thank you!

Answers

Answer:

26

Step-by-step explanation:

If m=6, -5 times 6 is -30. -2 times -2 is 4.

-30 plus 4 is 26.

If Ix) = -4, what are the possible values of x?​

Answers

Answer:

|x|=-4 is immposible, absolute value is the distance of any number away from zero hence is it imposible for it to be a negative number

Hope this helps! :)

SOMEONE PLEASE HELP I NEED THIS IN LIKE 10 MINUTES THANKS
The graph of f(x) = (0.5)* is replaced by the graph of g(x) = (0.5)* – k. If g(x) is obtained
by shifting f(x) down by 7 units, then what is the value of k?
k=1
k=-1/7
k=7
k=-7

Answers

Answer:

what grade

Step-by-step explanation:

to know the rule

I'll GIVE BRAINLY THING

The cost of 6 sandwiches and 4 drinks is $50. The cost of 3 sandwiches and 6 drinks is $74. How much does one drink cost?

$1.50

$1.75

$2.50

$3.00

Answers

let sandwiches and drinks be s and d resp so according to the question,
by 1st case,
6s + 4d = 53
or, d = (53-6s)/4
again by 2nd case,
4s + 6 d = 47
4s + 6(53-6s)/4 = 47
or, (8s +159-18s)/2=47
or 159-10s = 94
or 65 =10s
or, s = $6.5

how many groups of 2/3 are In 3/5

A)9/15
B) 9/10
C) 1 1/3
D) 1 1/9​

Answers

Answer:

I believe the answer is C.

Solve the inequality:
2(x = 5) > 4

Answers

Answer:

x>-3 (if the = is meant to be +)

Step-by-step explanation:

Distribute the 2: 2x+10>4

Subtract 10 from both sides: 2x>-6

Divide both side by 2: x>-3

What is the measure of ABC

Answers

Answer:

118°

Step-by-step explanation:

That was as simple as asking this kinda questions.

For every 4 small popcorns sold at the theater there were 3 large popcorns sold. If the theater sells
24 small popcorns, how many large popcorns did they sell?


(HURRY PLEASE)

Answers

Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4 goes into 24 6 times so you would minus 6 from 24 so 24-6= 18

Celeste rides her bike to work, averaging 12 miles per hour. On her way home she averages 8 miles per hour. If the total trip takes one hour, how far does she live from her work?

Answers

20 miles from work is the total distance

Answer:

c = x mi d= x mi

Step-by-step explanation:

Evaluate the expression x2 + 6 for x = 4
16
22
14
12

Answers

4 times 2 is 8, 8+6 is 14

Find X in the given pic

Answers

Answer:

A(9) is the very correct answer

How many solutions does the following linear equations have: 7(2+5x)=3x+14

Answers

Um I think only one, pretty sure

The expression p + 0.08p represents the total cost of an item with an initial price of p, plus an 8% sales tax. What is the total cost of an item with an initial price of $90?

Answers

Answer:

$97.2

Step-by-step explanation:=Given

The expression p + 0.08p

where P= the initial price

let y be the total cost, so that

y=p + 0.08p

for p=$90

y=90+0.08*90

y=90+7.2

y=$97.2

Hence the total cost for a $90 price is $97.2

PLEASE HELP IM FAILING MATH!!!

Answers

Can u send me a clear pic? Ill do it if I can actually read the numbers lol

solve this math problem. Estimate it by giving whole number. Show working also. (ESTIMATE, NOT WORK OUT) :)​

Answers

Answer:

(a) 11.

(b) 5.

Step-by-step explanation:

(a)√124:

11*11 = 121 so an estimate is 11.

(b) ∛124

5*5*5 = 125

So an estimate is 5.

PLEASE HELP ASAP I WILL AWARD BRAINLIEST

Answers

Answer:

None of the Above

Step-by-step explanation:

Key Skills required are: One Variable Equations, Supplementary Angle Pairs, Substitution, and Triangles.

1) To find the measure of Angle C, we first need to find the measure of angle DBC and Angle D.

2) We are given that Angle EBA is x and Angle EBD is 4x+13 and Angle D is 3x + 9 (we will use Angle D later in the problem)

3) Now, we need to use the fact that Angle EBA and Angle EBD are supplementary (they form a linear pair, so they are supplementary).

A pair of supplementary angles add up to  180 degrees (as they form a straight angle).

4) x + 4x + 13 = 180

5) Combine like terms --> 5x + 13 = 180

6) Move 13 to the other side --> 5x = 167

7) Divide by 5 and solve for x: x= 33.4

8) Now we got that x is 33.4, we can get the measure of angle DBC and Angle D.

9) Angle DBC is congruent to Angle EBA. So to find the measure of DBC we need to find the measure of Angle EBA. EBA is just x, so it is 33.4 degrees

10) Therefore, Angle DBC also measures 33.4 degrees.

11) To find angle D, we substitute x into 3x + 9 (We are given angle D is 3x + 9 based on the problem)

12) 3(33.4) + 9 = 100.2 + 9 = 109.2

13) Now we use the interior angles sum of a triangle to find Angle C.

The interior angles of a triangle sum up to 180 degrees.

14) With the statement above we can make this equation: 109.2 + 33.4 + Angle C = 180

15) Simplify by combining like terms: 142.6 + Angle C = 180

16) 37.4 degrees would be the measure of C, so I feel it would be none of the above.

Hope you understood and have a nice day!! :D

3n^2 + 8n + 16 = 2n^2

Answers

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

Need HELP ASSAP -8/5 times -5/1

Answers

Answer:8

Step-by-step explanation: negative times negative =positive

and times 8/5 by 5/1  .

When multiplying fractions, simply multiply the numerators together and multiply the denominators together.

-8 * -5 = 40

5 * 1 = 5

-8/5 * -5/1 = 40/5

40/5 = 8

This is now day two of finding kiyah McCain, I miss you ki :(

Answers

Where is the question

plzz answer fastt i need the answer

Answers

what are answers what are the answers
Where are the answers
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