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

Which of the following does NOT represent this decimal?

0.004?
A. four thousandths
B. 4/1,000
C. four tenths
D. 1/250

Answers

Answer:

c four tenths

Step-by-step explanation:

tenths are the first space after the decimal.

option C does not represent the decimal 0.004

What is Number system?

A number system is defined as a system of writing to express numbers.

Given,

Decimal number is 0.004

zero point zero zero four.

We need to find the following does NOT represent this decimal

A. four thousandths

4/1000=0.004

B. 4/1,000

0.004

c.  four tenths

4/10=0.4

D. 1/250=0.004

Hence, option C does not represent the decimal 0.004

To learn more on Number system click:

https://brainly.com/question/22046046

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1/3 x 3/8 with steps please. And thank you.

Answers

Answer:

(1/3) * (3/8) = 1/8

Step-by-step explanation:

Multiple: 1/3* 3/8

= 1 · 3/3 ·8

= 3/24

= 1  3/8·3

= 1/8

HELP PLS ITS ALL ONE QUESTION JUST PLSS HELP FOR EXTRA POINTS AND BRAINLEST!

Answers

Answer:

Section A - Ella left school

Section B - Ella climbed a steep hill

Section C - Ella stopped at a friends house

Section D - Ella walked quickly until she go home

Solve
5x+y=-17 8x-3y=-18

Answers

Answer:

x = -3

y = -2

Step-by-step explanation:

Answer:

( x,y ) = ( 72/163,-3294/163

If
C
=
s

5
C=s−5 and
D
=
s

8
,
D=s−8, find an expression that equals
C
+
2
D
C+2D in standard form.

Answers

9514 1404 393

Answer:

  C +2D = 3s -21

Step-by-step explanation:

Use the substitution property of equality.

  C = s -5

  D = s -8

Then the value of your expression is ...

  C +2D = (s -5) +2(s -8)

  = s -5 +2s -16

  C +2D = 3s -21

A bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow marbles as purple. The bag contains 164 total marbles. Write an equation or system of equations to determine how many of each color of marble is in the bag. Define your variable(s) and expressions. Show how you checked your answer. PLZ HELP PLZ PLZ

Answers

Answer:

123 purple

Step-by-step explanation:

164/4 = 41

41 = yellow

3 times more purple

41 x 3 = 123

a triangle has vertices on a coordinate grid at N(2,-6), O(-10,-6), and P(2,7). what's the length in units of NO

Answers

12 units

|-10| + 2 = 12

5m+2-m=12m. solve for m. simplify the answer to
the lowest term.

Answers

Answer:

m=1/4

Step-by-step explanation:

5m+2-m=12m

4m+2=12m

2=12m-4m

2=8m

2/8=m

1/4=m

m=1/4

(13-2x^3+6x)-(7x^3+9-4x)

Answers

Answer= (4-9x^3+10x)

Answer:

if you simplify the expression you would get: -9x^3 + 10x + 4

Hope this helps:)

Use elimination to solve the system x - 5y = 20 and x + 3y = -4 for x

Answers

Answer:

Step-by-step explanation:

Answer:

the x is 5

Step-by-step explanation:

x=5y+20:

x=5y+20

x=(5)(-3)+20

x=5 (simplify boy sides of the equation)

What is the area of the triangle of (-5,6),(1,3),(-5,-3)

Answers

Answer :

Hey there! I'm happy to help!

To find the area of a triangle you multiply the base by the height.

We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.

To find the area of a triangle, you just multiply the base by the height then divide by 2.

5(8)=40

40/2=20

The area is 20 square units.

Have a wonderful day! :D

Is This What You Triangle Looks Like?

Rachel is a nurse she owns 12 vacation days after working 768 hours how many hours does Rachel need to work to earn one vacation day

Answers

2.6 so like 3 days........
She needs to work 64 hours to earn one vacation day.


Lucy wants to make different types of pie. Each pie uses 3/4 pounds of flour. She has 3 pounds of flour.

How many pies can she make

Answers

Answer: 3 -:- 3/4 = p

If you apply the rules keep change flip

You will keep 3/1 change divisions to multiplication and flip 3/4 to 4/3 so new equation 3/1 x 4/3 = 12/3 then 12÷3= 4 so your answer will be 4 pies

Step-by-step explanation:

Rhea sells Fish-stick Sandwiches for $8 and Fish-stick Burritos for $9. One day, Maya bought 12 of items and paid $103.
* 20 points *

Answers

18.46 hope this helps!

Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4. Giving brainliest!

Answers

Answer:

y=1/4x+1.5

Step-by-step explanation:

Slope is 1/4 and I figured out that the y-intercept point is 1.5y.

I am not exactly sure though

Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca. Is he correct, if the sandwich sizes are different.

Answers

Answer:

Riley is correct

Step-by-step explanation:

Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca.

To find out the fraction of how much more Riley ate than Luca, we carry out Subtraction operation

= Fraction of what Riley ate - Fraction of what Luca ate

= 5/6 - 3/6

Lowe's Common Denominator = 6

= 5 - 3/6

= 2/6

Therefore, Riley is correct

find the inequality represented by the graph ​

Answers

Answer: y>(1/3)x-3

Step-by-step explanation: The slope is 1/3. The dotted line means it is not inclusive, and the value of k means it is going down three units.

classify this triangle​

Answers

Answer:

Acute, equilateral

Step-by-step explanation:

Answer:

I believe it is an acute equilateral

A school committee needs 2 more students. How many ways can the committee be selected from a group of 10 students? 45 90 20 100

Answers

Answer:

45 ways

Step-by-step explanation:

The number of ways the committee of 2 can be selected from  a group of 10 may be found using the combination theory.

10 C 2

Recall that n C r = n!/(n-r)!r!

Hence

10 C 2 = 10!/(10 -2)!2!

= 10!/8!*2!

= 10 *9 *8!/8!* 2!

= 10 *9/2 * 1

= 90/2

= 45

Answer:

45

Step-by-step explanation:

got it right on test

WILL GIVE BRAINLIEST!!!!!!!!!!!!!

f(x)=4^x

stretch vertically by a factor of 2

Answers

Answer:

f(x) = 4x^2 +2, hope this helps

Step-by-step explanation:

The equation h = -16t 2+ 53x + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?

Answers

Answer: The maximum height the football reaches = 51.89 feet.

Step-by-step explanation:

Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.

Differentiate the given equation, we get

[tex]h'=-(2)16t+53=-32t+53[/tex]   (i)

Put [tex]h'=0[/tex]

[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]

Differentiate (i) w.r.t. t, we get

[tex]h''=-32[/tex] < 0  i.e. h is maximum at t= 1.65625

The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]

Hence, the maximum height the football reaches = 51.89 feet.

please help!! I'll give you brainlyest (however you spell it) just please!! A bottle of orange juice contains 750 mg of vi C and has 6 servings. A bottle of cranberry juice contains 135 mg of vitamin C las 1.5 servings. Mrs. Kahn wants to compare the amount of vitamin C in the juices.
How does the amount of C in each type of juice compare? One serving of ____ (answers are orange or cranberry) juice has ____ mg more vitamin C per serving than one serving of _____ (answers are orange or cranberry) juice

Answers

Answer:

One serving of orange juice has 30 mg more vitamin C per serving than one serving of cranberry juice

Step-by-step explanation:

a salesperson at a jewelry store earns 6% commission each week. last week, jarrod sold $700 worth of jewelry. how much did he make in commission? how much did the jewelry store make from his sales?

Answers

Answer:

Commission 42.00

Store made $658.00

Step-by-step explanation:

Triangle congruence and similarity! (picture included)

Answers

Answer:

yes; SAS (Side Angle Side)

Step-by-step explanation:

if you divide all sides by three they come out as the same numbers as the left triangle and they are both the same type of triangle

Suppose it takes 2 1/2 h to drive from your house to the lake at 48 mi/h. How long will your return trip take at 40 mi/h?

Answers

Answer

The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.

I hope this helps

What is this? Help would be highly appreciated:)

Answers

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57

Me he gastado, primero, la mitad de lo que llevaba, despues, la mitad de lo que me quedaba. Que fraccion del total me he gastado

Answers

Answer:

Me ha quedado una cuarta parte de la cantidad inicial, es decir, me he gastado tres cuartas partes de la cantidad inicial comprando crustácea importada en la pescadería y marisquería.

Step-by-step explanation:

Asumamos que hacemos la compra en una pescadería y marisquería. Si la razón inicial equivale a 1, gasta inicialmente la mitad de la razón inicial, luego gasta la mitad de la razón resultante. El gasto se entiende como una forma de sustracción mientras que la sucesión como una multiplicación. Por consiguiente, tenemos el siguiente producto:

[tex]c = \left(1-\frac{1}{2} \right)\cdot \left(1-\frac{1}{2} \right)\cdot c_{o}[/tex]

[tex]c = \frac{1}{4}\cdot c_{o}[/tex]

Donde [tex]c_{o}[/tex] es la cantidad inicial.

Me ha quedado una cuarta parte de la cantidad inicial, es decir, me he gastado tres cuartas partes de la cantidad inicial comprando crustácea importada en la pescadería y marisquería.

A college surveys local businesses about
the importance of students as customers.
The college chooses 150 businesses at
random from telephone listings. Of these,
68 return the questionnaire. The sample is:
A. The set of all local businesses
B. The 68 businesses who returned surveys
C. The 150 businesses who were sent surveys
D. All the students at the college

Answers

Using sampling concepts, it is found that the sample is given by:

C. The 150 businesses who were sent surveys.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 150 businesses(sample) is taken from the telephone listings(all the businesses in the listings is the population), hence option C is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

b. the 68 businesses who returned surveys

someone please help me, whoever gets it right i will mark brainliest

Answers

3x^2 6x^2 + 4x -8

2x. 9x^3 + 6x^2 -12x

x^2. 18x^2 + 12x - 24

6x^2. 3x^2 + 2x - 4

15 Points and brainliest to whoever answers correctly

Given right triangle ABC.



To the nearest tenth of an inch, find the length of side c, the hypotenuse

13.7
1.7
14.6
1.8

Answers

Answer is 14.6. Good luck.

Answer:

14.6

Step-by-step explanation:

For this case we have the following trigonometric relationship:

sine (x) = C.O / h

Where,

x: angle

C.O: opposite leg

h: hypotenuse

Substituting values we have:

sine (20) = 5 / c

Clearing c:

c = 5 / sine (20)

c = 14.619022

Rounding:

c = 14.6 in

Answer:

c = 14.6 in

option 4

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