2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),
B(0,4), C(-2,1), and D(-4,3). Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD after a rotation of 180° about the origin. State the
coordinates of the vertices of A'B'C'D'.

Answers

Answer 1

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8),  B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

[tex]A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)[/tex]

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)


Related Questions

a large candy bar was 116 calories. the smaller candy bar was 28% less calories. how many calories does the smaller candy bar have?

Answers

Answer: 83.52 calories

Step-by-step explanation:

first candy bar=116 calories

second candy bar= has 28% less calories

to find out the answer we will 28/100=0.28

116x0.28=32.48 calories(less)

116-32.48=83.52 calories for the second candy bar

Which of the following inequalities matches the graph? (1 point)

graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line

The correct inequality is not listed.
5x + y greater than or equal to 1
5x + y less than or equal to 1
5x − y greater than or equal to 1

Answers

Answer:

Answer is D 5x-y>= 1 :)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

Abox of 15 cookies costs $9.
What is the cost for 1 cookie?

Answers

Answer:

1 dollar

Step-by-step explanation:

Answer:

$1.66

Step-by-step explanation:

It would roughly be this but a few cents more the way i divided this was different. All you do 15/9 to get 1.66 with a non-terminating decimal.  

a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle? (NEED HELP ASAP)

Answers

Answer:

A. x²/y³

Step-by-step explanation:

Given the following data;

Length = x³y⁴

Width = [tex] xy^{7}[/tex]

Ratio = length/width

[tex] Ratio = \frac{x^{3}y^{4}}{xy{^7}}[/tex]

Simplifying the equation by applying the law of indices (division), we have;

[tex]\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} [/tex]

[tex]\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} [/tex]

Hence, rearranging the above values;

[tex] Ratio = \frac{x^{2}}{y^{3}}[/tex]

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.

HELPPPP PLEASE PLEASE HELP HELP PLEASE NEED HELP MATH MATH

Answers

Answer: X equals 11.

Step-by-step explanation:

2600 = 235x + 15

2585 = 235x (subtract 15)

11 = x (divide 2585 by 235)

Answer:

11

Step-by-step explanation:

8. A tire dealer sells Supreme tires for $48 each and Prestige tires for $56 each. During one week, the sales for both tires totaled $2008. If 11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.​

Answers

Answer:

31 Supreme tires were sold.

Step-by-step explanation:

Cost of one Supreme tire = $45

Cost of one Prestige tire = $56

Total sales = $2008

Let x represent quantity of supreme tyre

Let y represent quantity of Prestige tyre

So, the equation will be:

[tex]45x+56y=2008[/tex]

11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.

So, we are given y= 11 and we need to find value of x using above equation

[tex]45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31[/tex]

So, 31 Supreme tires were sold.

Estimate the sum of 1 2/3+3 2/7

Answers

Answer:

4 3/10

Step-by-step explanation:

I hope this helps you out!

Answer:

the answer is 104/21  or 4 20/21

Step-by-step explanation:

Find the total surface area of this cuboid

Answers

Answer:

the cuboid isint showing

Step-by-step explanation:

Which is the correct way to check your answer for -20d=40?

A. -20/40=d
B. 40/-20=d

C. 40-20=d
D. -20d=40

Answers

Answer:

D

Step-by-step explanation:

After you get the answer then you should feel in the d with the number. Example:

-20D=40

Divide both sides by -20

D=-2

So know you should fill in d

-20(-2)=40

40=40

True

Jordan bought 4 shirts
that each cost the same
amount and I pair of
jeans that cost $40.
The items he bought cost
a total of $180 before
tax. What was the cost of
each shirt?

Answers

Answer:35 dollars each

Step-by-step explanation: Because if you take the $40 out of 180 you get 140 then you divide 140 by 4 and you get 35. Hope this helps.

Are these quanities dirctly proportional?
Distance and Time it takes to cover it, if a car moves with the same speed.
Plz Help Me
Answer Yes or No

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When distance and time are both zero at once, and speed is constant, then distance and time are proportional:

  distance = speed × time

The constant of proportionality is the (constant) speed.

how online school? mines/ I don’t like it my grades are going down

Answers

Answer:

I hope it gets easier for you :)

The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction..

Find the radius of a circle that has a circumference of 16.

Answers

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

8.1(x – 4) = -11.1 + x​

Answers

Answer:

x=3

Step-by-step explanation:

Choose the equation that could be used to find 2 consecutive numbers integers whose summer is 67

Answers

I believe the answer to your question is going to be “n+(n+1)=67”.
because if n is 33 than 33 + (33+1[34]) = 67.

25z+85=90 whats the answer ?

Answers

Answer:

z = 1/5

Step-by-step explanation:

5 divided by 25 is 20 percent and in fractions its 1/5

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

Step-by-step explanation:

3x + y + 72 = 180

3x + y = 108 .... (1)

2x + y = 90 ..... (2)

(1) - (2)

x = 18°

y = 54°

Answer:

Step-by-step explanation:

The ratio 5:15 simplifies to​

Answers

Answer:

5:15 simplifies to 1:3.

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

hi how yall doiiinnn

Answers

Pretty good, How about you

Answer: heyyyyy I’m going good

Craig has a 6 ft by 6 ft square garden in his backyard. He wants to transform the garden into a rectangular shape and reduce the area to 32 square feet. He will do this using his current fencing by reducing the length by x feet and adding it to the width.

Answers

X = 2
So 6 + 2 = 8
6 - 2 = 4
8 x 4 = 32

(6-x)(6+x) = 32
36 - x^2 = 32
-36. -36
-x^2 = -4
X = 2

Please please help please please help me please help please please help me

Answers

Answer: AC=108

Step-by-step explanation:

6x=9x-27

9-6=3

27/3=9

x=9

6x9=54

9(9)=81

81-27=54

54(2)=108

AC=108

HELPPPPP ITS URGENT

Answers

i believe it’s the first one

What foal birth weight would you predict using the least squares equation for a mare that weighs 520 kg?

Answers

Answer:

520

Step-by-step explanation:

Help pls and thank you

Answers

Answer:

yes they are congruent because they have the same size and shape

Step-by-step explanation:

stop stealing peoples points bruh

Help me pls T^T ASAP

What are the conjugate and modulus of –14 – 2i?

A.) 14 + 2i and 8 StartRoot 3 EndRoot
B.) 14 + 2i and 10 StartRoot 2 EndRoot
C.) –14 + 2i and 8 StartRoot 3 EndRoot
D.) –14 + 2i and 10 StartRoot 2 EndRoot

Answers

Answer:

D.) -14 + 2i and 10√2

Step-by-step explanation:

Got it right on Edge

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The correct option is D.

What is a complex number?

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.

To find the conjugate of a complex number, we change the sign of the complex part of the number. Therefore, the conjugate of -14-2i is -14+2i.

The modulus of the given complex number -14-2i is,

|z| = √[(-14)²+(-2)²]

    = √(196 + 4)

    = √200

    = 10√2

Hence, the conjugate and modulus of –14 – 2i are -14+2i and 10√2, respectively.

Learn more about Complex Number:

https://brainly.com/question/28007020

#SPJ2

Ahah please help me im begging you!!Please
ANSWER CHOICE:Y=-2x+6. Y=2x+6. Y=-2x. Y=2x (They are hypotenuses triangles)​

Answers

Answer:

y=2x+6

Step-by-step explanation:

When x=0,y=6 so not CD

when y=0,x=-3 so not A

What is the value of X when solving the equation -2x+(-8)=2x+8

Answers

Answer:  X=-4

Step-by-step explanation:

Which rational exponent represents a square root?
A. 1 / 2
B. 3/2
C. 1/3
D. 1/4

Answers

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. [tex]\frac{1}{2}[/tex] is the same

as taking the square root.

so [tex]x^{\frac{1}{2}}[/tex] is the same as the square root of [tex]x[/tex].

For example, taking the square root of 4 will determine:

[tex]4^{\frac{1}{2}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:4=2^2[/tex]

[tex]4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]

[tex]\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}[/tex]

so the expression becomes

[tex]4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}[/tex]

    [tex]=2^1[/tex]

    [tex]=2[/tex]         ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

Answer: A.) 1/2 is the correct answer

Step-by-step explanation:

Algebraic Expressions
Write an algebraic expression for the following.
the sum of y and 4

Answers

Answer:

The algebraic expression of the sum of y and 4 will be: [tex]y+4[/tex]

Step-by-step explanation:

As we know that An algebraic expression in mathematics is an expression which consists of:

variables and constants, along with algebraic operations such as addition, subtraction, etc. and are made up of terms

As we have to determine the expression of the sum of y and 4.

Hence, the algebraic expression of the sum of y and 4 will be: [tex]y+4[/tex]

Answer:

y + 4

Step-by-step explanation:

Sum means it's an addition problem, so y + 4 is the answer.

hope it helps

Ari stocks shelves at a grocery store. He
puts 35 cans of juice in each display case.
The case has 4 shelves with an equal
number of cans, and one shelf with only
cans. How many cans are on each of the
Equal shelves?

Answers

35 divided by 4, is 8.75..i guess there are 8 cans on each equal shelf?
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