Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?

Options:

• A A75, 4). B'18. 4). C18.-1), D45.-1)

• B. A45.4), B (7,4), C(5.-1), D'(7.-1)

• C. A45, 4), B (7,4), C77, 1), D(5, 1)

• D. A(1,4). B(3,4), C13.-1). D'(1. -1)

Answers

Answer 1

Given:

The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).

It is reflected over the line x=2.

To find:

The vertices of the image A'B'C'D'.

Solution:

If a figure is reflected over the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (-x+2a,y)[/tex]

The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is

[tex](x,y)\to (-x+2(2),y)[/tex]

[tex](x,y)\to (-x+4,y)[/tex]

Using this rule, we get

[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]

[tex]A(-3,4)\to A'(3+4,4)[/tex]

[tex]A(-3,4)\to A'(7,4)[/tex]

Similarly,

[tex]B(-1,4)\to B'(5,4)[/tex]

[tex]C(-1,-1)\to C'(5,-1)[/tex]

[tex]D(-3,-1)\to D'(7,-1)[/tex]

The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).

Note: All options are incorrect or not in proper format.


Related Questions

Pls help it due in a hour and show workings...

Answers

I think 11 miles but I’m not 100% hope I helped ;)

Graph y+9=−3x. please help me

Answers

Well, first thing we need to do is put this in slope intercept form of y.

Subtract 9 from both sides to isolate "y".

y= -3x-9

Now we can graph the equation

Graph the point (0,-9) since it is the y-intercept.

To get the x intercept, isolate the "x" variable instead of "y".

y+9 = -3x

(Divide every number on both sides of the equation by -3 to isolate "x".)

y/-3 -3= x

now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.

0/-3 -3 = x

-3 = x.

Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.

I hope this helped.

Please help me, 30 points, really easy.

Find the missing dimension. Use the scale factor 1 : 12.

Answers

Answer:

15in

Step-by-step explanation:

Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x .  Cross multiply to get that 12x = 180 and x = 15 inches.

I think it’s 15 sorry if I get it wrong

What is X?*
7x - 4
5х + 12
8
10
52
64

Answers

Answer:

x = 8

Step-by-step explanation:

You know that 7x - 4 and 5x + 12 are equal, so you can set up an equation and solve it:

[tex]7x - 5 = 5x + 12[/tex]

subtract 5x from both sides

[tex]2x-4=12[/tex]

Add 4 to both sides

[tex]2x = 16[/tex]

divide both sides by 2

[tex]x = 8[/tex]

Answer:

7x - 4......1

5х + 12......2

on multiplying by 3 in eq 1

= 21x-12...3

on substracting eq 2 from 3

21x-12=0

-5x+12=0

=16x=0

x=1/16

sorry but I can't find your answer

but I tried...

Which of the following is the best deal? A. 6-oz box of crackers for $1.08c. 8-oz box of crackers for $1.20b. 7-oz box of crackers for $1.19d. 9-oz box of crackers for $1.26

Answers

Answer:

Step-by-step explanation:

The answer is D

1.19/7-.17

1.20/8-.15

1.26/9-.14

1.08/6-.18

i think this is it

The answer is the 9oz Box of crackers

By leading figure estimation, approximate the value of 5 850÷22

Answers

265.9090909090909 is the answer

URGENT! LAST QUESTION OF MY HW! I've reposted this multiple times but no one has answered, please leave an explanation if you know the answer. I will give Brainliest! ​

Answers

Answer:

y=5

Step-by-step explanation:

Any equation that's y=c (or any other constant) is a horizontal line. Imagine a parabola and a horizontal line plotted on a graph.

There are three possibilities of where the horizontal line can be:

It may not touch the parabola at all,

It may touch the parabola at one specific point (it's a tangent line)

Or it may touch the parabola at two points (it's a secant line)

The question prompt tells us that the horizontal line y=c touches the parabola at exactly one point; so for it not to touch two points it has to touch the parabola at the vertex point, right?

If we graph the parabola (or we could just look at the equation and it should be intuitive), we find out that the y-intercept is 5. In other words the point where the function reaches its maximum value (maxima) is at y=5.

For this reason, the value of c is 5 since if it was any value below that it would touch more than one point and if it was above it it wouldn't touch any point.

Here's an image so that it'll be a bit clearer hopefully:

Good luck!

PLEASE HELP URGENT!!

An irregular polygon is shown below:

A: 21 Square Inches

B: 22 Square Inches

C: 26 Square Inches

D: 29 Square Inches

Answers

Answer:

[tex]26\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:

[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].

what's the gcf of 3x and 12x

Answers

Answer: GCF- is 3x

Step-by-step explanation:

So first you will ignore the X.

You will then find the GCF of 3 and 12.

The calculated value of the gcf of 3x and 12x is 3x

Calculating the gcf of 3x and 12x

From the question, we have the following parameters that can be used in our computation:

Expressions = 3x and 12x

Expand both expressions

So, we have

3x = 3 * x

12x = 2 * 2 * 3 * x

Multiply the common factors

GCF = 3 * x

Evaluate

GCF = 3x

Hence, the gcf of 3x and 12x is 3x

Read more about GCF at

https://brainly.com/question/17067741

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If DF=70, find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

DE + EF = DF

2x - 1 + 5x - 13 = 70

7x - 14 = 70

7x = 70 + 14

    = 84

x = 84 ÷ 7

x = 12

Answer: x=12

Step-by-step explanation:

2x-1+5x-13=70

Combine like terms

7x-14=70

Add 14 to both sides

7x=84

Divide both sides by 7

X=12

hi, can you please do these? thanks for helping!​

Answers

Answer:

i will answer you other if u rate me brainliest

Answer: (A) 1/10: 5 9/10 :5/6

(B) 3 3/4: -2 7/50

(C) 8 5/8 : 4/9

(D)2 2/5: 2 67/210: -2 2/3

(E)-1 1/2 : 81/128

Step-by-step explanation:

hopes this helps

Use the domain (1/2, 1, 2, 4, 8) to plot the points on the graph for the given equation. The grid marks represent one unit,
the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.
y = log 2 x

Answers

According to values of a function we can plot the points on a graph.

What is domain?

Domain is the value which we used to enter in a function to get the value of a function.

How to plot the points on the graph?

We have been given the domain of the function and we have to plot the value in the graph.

F(1/2)=log1=0

F(1)=log2=0.3

F(2)=log4=0.6

F(4)=log8=0.9

F(8)=log16=1.2

Learn more about graphs at https://brainly.com/question/4025726

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Need help with explicit rule. Please help.

Answers

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

The access code for a car's security system consists of four digits. The second digit cannot be zero and the last digit must be odd. How many different codes are available?

Answers

Answer:

4,500 different codes.

4,500 codes your welcome

200-123+289-2/2=????

Answers

Answer:

365

Step-by-step explanation:

200-123+289-2/2

77+289−2/2

366−2/2

366−1

= 365

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer:

D

Step-by-step explanation:

I need help answer as soon as possible.

Answers

number 1 is 5.7 number 2 is 0.5 number 3 is 5.5 and number 4 is 4.5

The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.

always
often
sometimes
never

Answers

The area of a circle will SOMETIMES be larger than the area of a polygon circumscribed about the circle.

ITS NOT THE ONE I MARKED I ACCIDENTLY PRESSED IT BUT PLEASE HELP

Answers

Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Is the function an exponential function?
y=(-2)^x

Answers

Answer:Yes

Step-by-step explanation:

the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.

function is a relationship between inputs where each input is related to exactly one output.

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = [tex](-2)^{x}[/tex]

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

Example:

y = [tex]3^{x}[/tex]

y = [tex]5^{x}[/tex]

We see that,

y = [tex](-2)^{x}[/tex]

-2 is a constant

x is a variable

Thus,

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

Learn more about functions here:

https://brainly.com/question/28533782

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4/3=-6e-5/3

solve for "E" plz

Answers

Answer:

e=-1/2

Step-by-step explanation:

4/3=-6e-5/3

Multiply both sides by 3:

4=-18e-5

Add 18e to both sides:

18e+4=-5

Subtract 4 from both sides:

18e=-9

Divide both sides by 18:

e=-1/2

*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*

Write the slipe-intercept form of the equation of each line given the slope and y-intercept.

Please helppp!!!! i will give brainliest!!

Answers

Answer:

1. -1/2

2. 3/-2

3. 1/2/2

4. 7/2

Step-by-step explanation:

Hope it helped

PLS HELP ILL MARK AS BRAINIEST :c!!!!!!!

Answers

Answer:

it 982y

Step-by-step explanation: the kid just do your work

Answer:

19.5km^2

Step-by-step explanation:

4500 times 6.5%

divide 292.5 by 15

then you get 19.5

Please help, pic attached!

Answers

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.

The sum of the angle measures of any triangle is 180°. If one angle of a triangle measures 35º and another angle measures 72º, what is the measure of the third angle?​

Answers

Answer:

73°

Step-by-step explanation:

Start with 35° + 72° = 107°

Then 180° - 107° = 73°

Answer:

[tex]we \: knw \: that \: total \: angle = 180 \\ 35 + 72 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73 \\ thank \: you[/tex]

(01.05)
What is the equation, in slope-intercept form, of the line that passes through (0, -2)
and has a slope of -3? (5 points)
O 1) y = -3x - 2
O 2 y=-3x+ 2
O3) y = –2x+3
O 4) y = -2x - 3

Answers

Answer:

O1

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

We are given a point: (0,-2) and a slope; -3.

we can substitute the numbers into the equation above, with what we know, to find b.

-2=-3(0)+b

multiply

-2=0+b

-2=b

so the y intercept is -2.

Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2

Therefore O1 is your answer

Hope this helps!

c) The area of a rectangle is 80 cm² and it is 8 m broad.In process
(i) Find its length (ii) Find its perimeter
11​

Answers

Answer:

i) the length is 10cm

ii) the perimeter is 36 cm

Step-by-step explanation:

i) We know that Area of a rectangle can be found by using the following formula...

A = l x w

(where A is area of the triangle, l is the length of the triangle, and w is the width of the rectangle).

From this we know that

l = A/w

[tex]l = 80cm^{2} / 8cm = 10cm[/tex]

ii) Now that we know both the length and the width we know we can find the perimeter by using the following formula...

P = 2(l + w)

[tex]P = 2(10cm+ 8cm )\\P = 20cm + 16cm\\P = 36cm[/tex]

25% of a number is 8.
What is the original number?

Answers

Answer:

B. 32

Step-by-step explanation:

25% is 1/4 of 100%, so you multiply 8 by 4.

how do you solve it tho

Answers

Answer:

solve what

Step-by-step explanation:

there's no question

Answer:

you forgot the picture lol

Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.

Answers

Answer:

about $26.00

Step-by-step explanation:

$25/100 = 0.25 for 1%

1% times 4.1 = 1.025 in sales tax

plus 25 equals 26.025

round to the nearest cent = $26.00

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