please help me with this problem !

When figures are translated, rotated or reflected, the resulting figures are congruent to the original figure because the transformations are rigid. However, when a figure is dilated, the resulting figure is not congruent to the original figure.

ABCD and A'B'C'D are congruent because A'B'C'D is the result of rotating ABCD 180 degrees about the origin.

I've included the missing graph as an attachment.

Using points A and A' as our references.

We have:

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

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

The rule of rotation 180 degrees about the origin is:

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

So, we have:

[tex](-1,1) \to (-(-1),-1)[/tex]

[tex](-1,1) \to (1,-1)[/tex]

The above rule is applicable to other points in ABCD and A'B'C'D'

Since the rule of transformation is rotation (a rigid transformation), then ABCD and A'B'C'D are congruent.

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Answer:

-2, 6, 20 ,...

Step-by-step explanation:

3n² +5n -2

if n=0 , then 3*0² +5*0 -2= -2

if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6

if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20

Answer:

[tex] ({a + b})^{2} [/tex]

[tex](a + b)(a + b)[/tex]

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

hope this help you

Answer:

900 is the correct awnser

Answer:

D. linear; y = –3x – 6

B. quadratic; y = –x2

Step-by-step explanation:

Let

A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)

using a graph tool

see the attached figure N 1

case a) exponential

see the attached figure N 2

case b) quadratic

see the attached figure N 3

case c) linear

see the attached figure N 4

case d) linear

see the attached figure N 5

therefore

the answer is

the case c) linear

...............................................................................................................................................

Answer:

For the first part

What type of function best models the data in the graph?

✔ quadratic

y = 0.433x2 for the second part.

...............................................................................................................................................

Answer:    

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

          = -3

          = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' =  

m =  = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.

Answer:

y=(4-2x)/3

Step-by-step explanation:

3y= 4-2x

y= (4-2x)/3

Answer:

576xxxycm

Step-by-step explanation:

1cm×12x×x+48xy=576xxxycm

here it is :)

do check properly, I have given step by step instructions:)

do give feedback on my answer, would appreciate it!

Answer:

900000

Step-by-step explanation:

[tex]30*10^{4}[/tex]

=3*10000

=30000

=30*30000

=900000

Answer:

There are 3 intervals as following:

x ≤ 1

1 ≤ x ≤3

x ≥ 3

Combining the all, we get:

The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.

Answer:

Step-by-step explanation:

Given :

45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44

Using technology, the box and whisker plot generated for the data is attached below.

The 5 - number summary is also given below :

Minimum: 39

Median: 45

First quartile: 42

Third quartile: 47

Interquartile Range: 5

Maximum: 49

Outliers: none

Answer:

Step-by-step explanation:

Answer: 18

Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18

Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36

Hope that helps

Answer:

18

Step-by-step explanation:

listing the factors

factors of 18 are 1, 2, 3, 6, 9, 18

factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 6, 9, 18

with GCF being 18

Answer:

f(3) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 4

Step 2: Evaluate

Answer:

[tex](x,y) = ( 5 , - 7)[/tex]

Step-by-step explanation:

we would like to solve the following system of linear equation by substitution:

[tex] \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}[/tex]

notice that, we're already given the value of y therefore simply substitute it to the II equation

[tex]8x + 8(x - 12) = - 16[/tex]

distribute:

[tex]8x + 8x - 96= - 16[/tex]

simplify addition:

[tex]16 x- 96= - 16[/tex]

isolate -96 to left hand side and change its sign:

[tex]16 x= - 16 + 96[/tex]

simplify addition:

[tex]16 x= 80[/tex]

divide both sides by 16 and that yields:

[tex] \boxed{x= 5}[/tex]

now substitute the got value of x to the first equation:

[tex]y = 5- 12[/tex]

simplify subtraction:

[tex]y = - 7[/tex]

hence,

the solution is (x,y)=(5,-7)

Solve by substitution :

y = x - 12

8x + 8y = -16

y = x - 12 ------- eq(1)

8x + 8y = -16 ------- eq(2)

Finding x ⤵

Putting y = x - 12 in eq(2) we get

Finding y ⤵

Putting x = 5 in eq(1) we get

Hence, x is 5 and y is -7

Answer:add a screenshot

Step-by-step explanation:

I can't see the our glasses

Answer:

missing side is √193

= 13.892443989449

Answer:

[tex]\boxed {\boxed {\sf 8.7}}[/tex]

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

[tex]a^2 + b^2 =c^2[/tex]

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

[tex]a^2 + (5)^2 = (10)^2[/tex]

Solve the exponents.

[tex]a^2 + 25=100[/tex]

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

[tex]a^2 +25-25=100-25[/tex]

[tex]a^2=100-25[/tex]

[tex]a^2 = 75[/tex]

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {a^2}= \sqrt{75}[/tex]

[tex]a= \sqrt{75}[/tex]

[tex]a= 8.660254038[/tex]

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

[tex]a \approx 8.7[/tex]

The length of the third side is approximately 8.7

Using Pythagorean theorem

[tex]\boxed{\sf B^2=H^2-P^2}[/tex]

[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]

[tex]\\ \sf \longmapsto B^2=100-25[/tex]

[tex]\\ \sf \longmapsto B^2=75[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]

[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]

[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]

[tex]\\ \sf \longmapsto B=8.66[/tex]

[tex]\\ \sf \longmapsto B\approx 8.7[/tex]

Answer:

Y/X = 2/3 x^2 + 16/3

Y= 2/3 x^3 + 16/3 x

Just replace y with y/X and X with x^2

First subtract the amount the bow takes from the total:

70 - 32 = 38 inches

The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:

38-28 = 10

Divide 10 by the 2 sides:

10/2 = 5

The height is 5 inches.

Answer:

Not sure if this will help but that looks like a bisection of angles BAC and TSR.

Answer:

the answer is 5×3+11×5 feet

Answer:

4th option

Step-by-step explanation:

An equilateral triangle has 3 congruent sides

Divide the perimeter by 3 for length of side

[tex]\frac{15x^3+33x^5}{3}[/tex]

= [tex]\frac{15x^3}{3}[/tex] + [tex]\frac{33x^5}{3}[/tex]

= 5x³ + 11[tex]x^{5}[/tex] ← length of 1 side

Answer:

Step-by-step explanation:

f(1) = 8000

f(2) = 1/2(n - 1)

f(2) = 1/2(2 - 1)

f(2) = 1/2    Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.

Answer:

f(5) = 500

Step-by-step explanation:

Using the recursive rule and f(1) = 8000 , then

f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000

f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000

f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000

f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500

Answer:

50%

Step-by-step explanation:

1. determine the monthly interest rate

monthly interest rate = interest / loan amount

monthly interest = 25 / 600 = 4.17%

2, multiply the monthly interest rate by 12 to determine the annual interest rate

Annual interest = 4.17 x 12 = 0.5 = 50%

Answer:

D

Step-by-step explanation:

(the above graph depicts a horizontal line that intersects the y axis at -2)

(so, y = -2)

Answer:

0

Step-by-step explanation:

Horizontal line x axis is 0 while the vertical y axis is undefined.

Answer:

y² = (1/16)x³

Step-by-step explanation:

Given that :

y² varies directly as the cube of x

y² α x³

y² = kx³ - - - (1)

Where, k = constant of f proportionality

We can obtain the value of k ; when x= 4 and y = 2

2² = k4³

4 = 64k

k = 4/64

k = 1/16

Putting k = 1/16 in (1)

y² = (1/16)x³

1. The equation is 18 = 3 × x

2. a) The independent variable is the of ounces of lemon juice in the lemonade

b) A = a × b

c) First quadrant

The procedure to find the above answers are presented here as follows;

1. The following is the table of values of the data

[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]

The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;

y ∝ x

∴ y = k × x

Where;

k = The constant of proportionality

k = y/x

Therefore;

k = 6/2 = 9/3 = 12/4 = 15/5 = 3

k = 3

y = k × x

∴ y = 3 × x

Therefore;

The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water  is given by placing y = 18 in y = 3 × x as to get;

18 = 3 × x

∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water

2. The independent variable is the input or causing variable that determines the output variable

Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade

b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;

A = a × b

c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant

Learn more about dependent and independent variable here;

https://brainly.com/question/18456313

Answer:

Below.

Step-by-step explanation:

If the length is x then the width is x-9 inches.

Perimeter

= 2L + 2W = 86

2x + 2(x - 9) = 86

4x - 18 = 86

4x = 104

x = 26

So the length is 26 inches and the width is 17 inches.

Answer: MATH

Step-by-step explanation:

Answer:

answer for the question is

x = 1

y = 4

subject is math btw if you are asking about that

Answer: Choice A

4^2 + b^2 = 5^2

This is due to the pythagorean theorem.

Answer:

n(AuB)=n(A)+n(B)=18

This is the answer