Map quadrilateral ABCD to quadrilateral A′B′C′D′ with a rotation of 180° about the origin followed by a translation 3 units left and 7 units up.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

Shape: Quadrilateral ABCD

Transformations:

180 degrees rotation

3 units left

7 units up

Required

Determine A′B′C′D

The coordinates of ABCD is not given; So, I will solve generally.

Assume the coordinates of ABCD is (x,y)

When (x,y) is rotated 180 degrees, the new point is: (-x, -y)

Solving further:

Translation 3 units left

When a point (x,y) is translated b units left, the new point is (x - b, y).

So:

[tex](-x, -y) ====> (-x - 3, -y)[/tex]

Translation 7 units up

When a point (x,y) is translated h units up, the new point is (x, y + b).

So:

[tex](-x - 3, -y) ====> (-x - 3, -y + 7)[/tex]

Assume that the coordinates of A in ABCD before translation is (2,6).

i.e. A = (2,6)

The image A' will be:

[tex]A' = (-2-3,-6+7)[/tex]

[tex]A' = (-5,1)[/tex]


Related Questions

A submarine was in a resting position 400 m below sea level. It rose 225 m. Determine its new depth?

Answers

Answer:

175 meters, since its below sea level it would be- -400m - (-225m), subtracting with negative # and negative # is the equivalent of getting closer to zero, just figure out 400 - 225, and put a - symbol at the beginning of the number

Using the figure below, define and name two pairs of corresponding angles.


It's due today please help​

Answers

Answer:

There are no corresponding angles shown in the figure.

They are all pairs of supplementary angles.

Step-by-step explanation:

corresponding angles add up to 90°

supplementary angles add up to 180°

mark the other person brainlisted

If 4 × 8 = 32, then 32 divided by 8 must equal

Answers

Answer:

Step-by-step explanation:

If 4 x 8 = 32

32 / 8 must equal 4

They are a fact family with only 32, 8, and 4 in it. I hope that's clear!

Hope that helps!

Answer:

yes!

Step-by-step explanation:

If a × b = c Then, c ÷ b = a

Therefore it is equal

The temperature was -12°F at 6:00 a.m. The temperature rose 3°F every hour
until 6:00 p.m. At what time did the temperature reach 9°F?

Answers

At 1:00 P.M. the temp was9 degrees

Find the sum which becomes 19,320 on increasing by 15% (Percentage)

Answers

Answer:

Step-by-step explanation:

100-15=85

85 % of x=19,320

x=19,320 ×100/85≈22729.41

ILL GIVE BRAINLY PLEASE HELP

Answers

Answer:

x=3

Step-by-step explanation:

Figure ABCD is a rectangle. In rectangles, opposite sides are equal. In the figure, BC and AD are opposite of each other, therefore their side lengths are equal. The side lengths are given: BC=9x-6, and AD=3x+12. Write this as an equation:

9x-6=3x+129x-3x-6=3x-3x+12 (Subtract 3x from each side of the equation)6x-6=12 6x-6+6=12+6 (Add 6 to each side of the equation)6x=18x=3 (Divide each side by 6)

please let me know if this is wrong, hope it helps :)

What is the length of K Street and D Street?

Answers

Answer:

775 ft

Step-by-step explanation:

1000/800= K/620

800K = 620,000

K = 775 ft

WHAT IS EQUIVALENT TO THE INEQUALITY y/2 -6 <8 ? PLEASE HURRY ITS DUE 10:50

Answers

y/2 - 6 < 8
y/2 < 14
y < 7

Answer:

y < 28

Step-by-step explanation:

get the y on its own

y/2 - 6 < 8

y/2 - 6 + 6 = y/2

8 + 6 = 14

y/2 < 14

y/2 x 2 = y

14 x 2 = 28

y < 28

6. What percentage of the children in class 5 is a member of a sports club? 3
Result sports questionnaire
for: class 5
“Are you a member of a
sports club?
yes: 15
no:5”

Answers

Answer:

75%

Step-by-step explanation:

Let x be the percentage for sports club members.

x% of 20 = 15

x/100 x 20 = 15

x/5 = 15

x = 75

Part 1: What is the rate of rice to quarts of water for this recipe that uses 4 pounds of rice and 5 quarts of boiling water?​

Answers

Given:

A recipe uses 4 pounds of rice and 5 quarts of boiling water.

To find:

The rate of rice to quarts of water for this recipe.

Solution:

We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.

[tex]\text{Required rate}=\dfrac{\text{Rice in pounds}}{\text{Water in quarts}}[/tex]

[tex]\text{Required rate}=\dfrac{4}{5}[/tex]

[tex]\text{Required rate}=0.8[/tex]

Therefore, the  rate of rice to quarts of water for this recipe is 0.8.

i need help on 12 times x."

Answers

Answer: 12x

Step-by-step explanation:

12 times x = 12x

Hope it helped u,

pls mark as the brainliest

^_^

y = x - 4. 2x + 3y = -17 substitution method

Answers

Answer:

x = -1

y = -5

Step-by-step explanation:

y = x - 4                                     y = x - 4

2x + 3y = -17                             y = (-1) - 4

2x + 3(x - 4) = -17                      y = -1 - 4

2x + 3x - 12 = -17                       y = -5

5x - 12 = -17

5x - 12 + 12 = -17 + 12                 Check

5x = -5                                    2x + 3y = -17

5x/5 = -5/5                           2(-1) + 3(-5) = -17

x = -1                                        -2 + -15 = -17

                                                   -17 = -17

i need to know which one is an expression, equation, and inequality​

Answers

Answer/Step-by-step explanation:

An expression is a series of number without any signs so expression would be the first one.

Inequality would be when they do a sign like > or <, etc. so it would be the 2nd one.

Equation would be when they have an equal sign which would be the 3rd one.

Simple Ex.

Expression : 2 + 66 / 11 - 3 x 2

Inequality : g + h > f

Expression : 4j - 3 = j

Hope this helps :)

A junior college charges $7,391 per year for tuition, $8,244 for room and board, $1,280 for books, and $730 for miscellaneous fees. What is the cost of attending this school for 2 years?

Answers

(7391+8244+1280+730)x2=
17645x2= $35290 for 2 years

PLEASE ANSWER
What is the area of the parallelogram?
13.4 in
7.5 in

Answers

Answer:

area = 100.5 in²

Step-by-step explanation:

area = 13.4 x 7.5 = 100.5 in²

Annalisa is ordering a sandwich. What are the possible independent variables involved in the cost of a sandwich?

Answers

Answer:

Step-by-step explanation:

Independent variables may be referred to as one or more single or standalone variables which affects the outcome or output variable, which is the dependent or response variable. To determine the cost of sandwich (this will be the response variable), this will be affected or dictated by the independent variables, which includes ; the size of sandwich, the type of bread roll used (hard roll, soft bun, hero, slice bread). Also, the tyoe of sandwich filling which may be (cheese, Ham salad, Ham and cheese, Egg mayonnaise and so on). Therefore, these variables are independent and the combination of each of these predictor variables will dictate the dependent variable, Cost.

Convierte o expresa en forma decimal y fraccionaria.
Fracción
Decimal

a) 5.2%
b) 62.8%
c) 52.4%
d) 0.4%

Answers

Answer:

c.

Step-by-step explanation:

Given the point (3, 4) and the slope of 6, find y when x = 27.
a. 122
b. 14
c. 141
d. 148​

Answers

Answer:

The answer is D. 148

144= y-4

The Maplewood Symphony Orchestra sold 146 tickets and
collected a total of $1036 in ticket sales. Admission was $5 for
children, x, and $8 for adults, y. How many children
tickets were sold?

Answers

Answer:

44 children tickets

Step-by-step explanation:

This is a system of equations. I solved for y, the amount of adult tickets sold which equals 102. To get the amount of children's tickets, subtract 102 from 146 to get 44.

some pls help I have a couple min left plzz

Answers

Where’s the question..?

what is the value of x?

Answers

Answer:

36

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

72° and 3x are adjacent angles and are supplementary , that is

72° + 3x = 180° ( subtract 72° from both sides )

3x = 108° ( divide both sides by 3 )

x = 36° → C

The triangles below are similar.
10
y
22
33
12
y = [?]

Answers

Answer:

y=15

Step-by-step explanation:

Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15

The value of x is 26.4 unit and y is 15 units,

What is Similarity?

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.

So, 22/ 10 = 33/ y

22y = 330

y = 330/22

y = 15

and, 22/10 = x/ 12

264 = 10 x

x= 26.4

Hence, the value of x is 26.4 unit and y is 15 units,

Learn more about Similarity here:

https://brainly.com/question/26451866

#SPJ2

Hi I need help please

Answers

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

8x = 72

x = 9

8x-10=62

solve for x

8x=62+10

8x=72

x=72/8

x=9

Find the perimeter of the rectangle in yards.

Answers

The perimeter is 288 yards

hello, i need help.
find m∠bae

Answers

Answer:

125

Step-by-step explanation:

180-55=125

what’s 6.305082126 rounded to the nearest degree (No decimals)

Answers

Answer:

6

Step-by-step explanation:

3 is smaller that 5 so round down

Please help me with 1,2 give me the answers and show me how you get it do not send me link please just write it right here please I really need help

Answers

Pythagorean theorem is formula we would use:
1.)
c^2=a^2+b^2
c^2=10^2+24^2
c^2=100+576
c^2=676
c= √676
c=26 in

2.)
c^2=7^2+14^2
c^2=49+196
c^2=245
c= √245
c~15.65 cm


Family Video charges $10 for
a monthly membership and
$2.50 per movie. Babe's
Movies charges a $12
membership and $2 per
movie. How many movies
must be rented before the
price is the same at both
stores? What is the cost?

Answers

Answer:

4 movies, $20

Step-by-step explanation:

Given data

Family Video

charges $10 for a monthly membership and

$2.50 per movie

let the number of movies be x

and the charge for x movies be y

y= 10+2.5x----------1

Babe's  Movies

charges a $12

membership and $2 per

movie.

let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

equate 1 and 2

10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

put x= 4 in equation 1 or 2

y= 12+2x----------2

y= 12+2*4

y= 12+8

y= $20

Which three criteria do binomial experiments meet?

Answers

Answer:

Each of the n tests must have two success p or failure q results, they are mutually exclusive. The probability of success p of an event is fixed or constant, likewise for the probability of failure q. The tests are independent.

Step-by-step explanation:

Find < ABD (6x-7) (8x-22)

Answers

Answer:

Look at the picture

Step-by-step explanation:

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