6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x

Answers

Answer 1

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

How to work with transformation of objects?

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

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Related Questions

a school is purchasing graphing calculators for use in math classrooms. the graph shows a relationship between the number of graphing calculators purchased and the total cost​

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Answer:

there is no picture

Step-by-step explanation:

The area of the triangle is

square inches.
fill in the blanks

Answers

Answer:

8

Step-by-step explanation:

You could make any amount but 8 dos work if the triangle is a 2 by 8

The answer is 8 I am pretty sure

The menu for a restaurant lists 3 types of soup, 5 types of sandwiches,
and 4 types of chips. If a meal is one soup, one sandwich, & one bag of
chips, how many meals can you make? * pls help

1. 12
2.15
3.20
4.60

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The answer is 20 good job

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

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Answer:

500

Step-by-step explanation:

each computer is 500 dollars

Answer:

500

Step-by-step explanation:

Divide each cost by the number of computers

500 ÷ 1 = 500

1,000 ÷ 2 = 500

1,500 ÷ 3 = 500

2,000 ÷ 4 = 500

mark brainliest if helped

What is the solution for the equation 4x – 10 = 2x?

Answers

Answer:

5x

Step-by-step explanation:

subtract 4x fromboth sides

4x-10=2x

-4x     -4x

divide both sides by -2

-10=-2x

-10/-2=-2x/-2

5=x

5x is the correct answer


Tell me if I’m correct or incorrect






A
A
A

Dd
D
D
S
S

E
We
We
We
E
E
S
S
S
S
S
S
S

Das

S
S
S
S
S
S
S
S
S

Please help ASAP! :)

I WILL MARK Brainliest!!!

Answers

Answer:

3

Step-by-step explanation:

Three pounds of oranges cost $4.50 complete the table

Answers

1.5=1 pound 7.5=5 pounds 10.5=7 pounds 16.5=11 pounds

Can any one help
WILL GIVE 30 POINTS

Answers

The believe the answer is C but I could be wrong, good luck!

Answer:I think it’s b too

Step-by-step explanation:

Write the equation in Standard Form.

y=3/2x - 6

Answers

Answer:

3x - 2y = 12

Step-by-step explanation:

3x-2y=12 is the standard form of equation y=3/2x - 6

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The equation is y=3/2x - 6

y equal to three by two times of x minus six

y=3/2x - 6

LCM of 1 and 2 is 2

y=(3x-12)/2

Now apply cross multiplication

2y=3x-12

Two times of y equal to three times of x minus twelve

Now take 2y to RHS side

3x-2y-12=0

3x-2y=12

Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

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At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat.

Answers

Answer:

Just getting the points so I can post that image for you

Skies travel charges two-fifty for a plane ticket and $28 per day for rental car. For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental. What is the minimum number of days in martin's vacation should be or r&r travel to be a better deal for him?

Answers

Given :

Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.

For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.

To Find :

The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.

Solution :

Let, minimum number of days are x.

So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]

Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]

r&r should be better deal when :

[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]

So, for better deal at r&r minimum number of vacation days is 57.

Hence, this is the required solution.

What Is The Difference Between 1+1 And 1x1?

Answers

Answer:

1+1=2 and 1x1= 1

Step-by-step explanation:

If you add something you take the first number and add it to the second one. If it is multiplication, you take the first number, and multiply by itself, so it would be 1 times itself (1) and it is kind of like 1+0 which equals 1. It doesn't sound like a lot, but when you get into Algebra and Pre-Algebra, etc. it does come along easier.

Answer:

1+1=2 and 1x1= 1

Step-by-step explanation:

In 2/3 divided by 4/5 the____ is 2/3 .

Answers

Answer:

Numerator

Step-by-step explanation:

2/3 / 4/5. 2/3 is the numerator of the compound fraction.

pls help me fast like asap

Answers

D is your answer because you gave 20 and they are subtracting the cost of 3x lbs of apples

Answer:

Im pretty sure its D

Step-by-step explanation:

A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What was the original price of the sweater?

Answers

Answer:

50

Step-by-step explanation:

Bruh

hello, this is math and I need help ❤️ pls and ty ONLY SERIOUS ANSWERS

Answers

The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.

How to solve:

First use the formula: C = 3.14dReplace the d value with 30 and solve the equation:

C = 3.14 x 30    ⇒   94.2477796077

Then solve the equation again but 21 as the d value:

C = 3.14 x 21     ⇒   65.9734457254

Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8

Writing equation of the line that passes through the given points (16, -4) ; m= -3/4

Answers

Answer:

y = -3/4 - 12

Step-by-step explanation:

I think it’s m= -1/16

Hurry please (ignore this part hdhdjsfjenejfixhebrfisj)

Answers

Answer:

(-3/8) (-5/7) (-1/4) is the answer

Step-by-step explanation:

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(Please answer as a fraction)

Answers

Answer:

1 3/11

Step-by-step explanation:

Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?

Answers

Answer:

y=x-6

Step-by-step explanation:

Solve the following equation for y.
23x+7y=-17

Answers

Answer:

23x+7y=23x+7y

Step-by-step explanation:

tu ne peut pas Addisioner les terrme avec des variables différents

X: -17/23, 0

Y: 0, -17/7

2x100x3x0 solve lol :)

Answers

Answer:

the answer is 0

Step-by-step explanation:

2x100x3x0 equals and levels out to 0 :)

Answer:

0

Step-by-step explanation:

100 x 2 = 200

200 x 3 = 600

600 x 0 = 0

ASAP WILL GIVE BRANLIEST !!!!!!!!!

Answers

Answer:

6[tex]\sqrt{5}[/tex]-4[tex]\sqrt{7}[/tex]

Step-by-step explanation:

3[tex]\sqrt{5} -2\sqrt{7} +3\sqrt{5} -\sqrt{28}\\6\sqrt{5}-2\sqrt{7} -2\sqrt{7} \\6\sqrt{5}-4\sqrt{7}\\=2.8334[/tex]

Answer:

The 3rd one!

Step-by-step explanation:

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Find the slope of the line that passes through (4,2) and (9,1)?

Answers

Answer: m= -1/5

Step-by-step explanation:

Find the Slope (4, 2) and (9, 1)

Slope is equal to the change in y over the change in x, or rise over run.

              change in y

     m =    _________

              change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).        y₂ − y₁

     m =   _____

              x₂ − x₁

Substitute in the values of x and y into the equation to find the slope.

              1 − (2)

     m =   _____

              9 − (4)

Simplify the numerator.

                −1

     m =   _____

              9 − (4)

Simplify the denominator.

                −1

     m =   _____

                 5

Move the negative in front of the fraction.

                −1

     m =   _____

               − 5

Answer:

The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].

Step-by-step explanation:

We are given two coordinate points:

[tex](4, 2)[/tex][tex](9, 1)[/tex]

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

[tex](x_1, y_1), (x_2, y_2)[/tex]

Therefore, we can also label our coordinates as such:

[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]

Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.

[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]

Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].

least common multiple of 12 and 3

Answers

Answer:

Answer is 12

12x1=12

3x4=12

Step-by-step explanation:

Its the least number.

Answer:

It is exactly 12

Step-by-step explanation:

I hope this helped you

Can i get branliest and heart please

Thanks!

2) How old am I if 300 reduced by 4 times my age is 44?

Answers

Answer:

64

Step-by-step explanation:

300 -4x = 44

(300 - 44)/4= 64

check

64 x 4 =256

300 - 256 = 44

Paula has a new beaded necklace. 70% of the 100 beads on Paula's necklace are blue. How many blue beads are there on Paula's necklace?​

Answers

Answer:

70

Step-by-step explanation:

70% of 100 is 70 meaning there would be 70 blue beads

How do you not know it is 70?

Select all the points that are on the graph of the line 2+4=20

(10, 0)
(1, 4)
(1, 2)
(0, 5)
(0, 10)

Answers

Answer:

A or B, it's either one of the two

sports drinks- $1.75
pizza- $2.25

Answers

Answer:

7 drinks

Step-by-step explanation:

7x1.75=12.25

4 x 2.25= 9

added - 21.25

help please!!!!!!!!!!!!!!

Answers

uhhhhhhh a ........ i think
About 9.4



Explanation:

To do this you will use the hypotenuse formula.


a^2+b^2=c^2
5^2+8^2=c^2 (because those are the other lengths)

25+64=89
Then you find the square root
About 9.4
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