How do horizontal and vertical translations each affect the coordinates of the points on a figure.

Answer:

Symmetric property of equality

Step-by-step explanation:

The symmetric property of equality states values are still equal no matter which side of the equal sign they're on.

Answer:

3^8 and 6,561

Step-by-step explanation:

1) Calculate, 3 to the power of what is 27?

Make a table of all of 3's powers until 10. i.e. 3^1 = 3, 3^2 = 9 ......

You will find that 3^3 = 27 and 3^5 is 243

3) Use the formula x^m * x^n = x^m+n and substitue our value.

It should look like this: 3^3 * 3^5 = 3^3+5 = 3^8

4) Make a table as described in step 2  and calculate all of 3's powers up to 10. Look at your table and you will find that 3^8 is equal to 6,561

5) The expression written as a power is

3^8 and

the value: 6,561

Enjoy :)

Given parameter:

Diameter of the ferris wheel  = 80m

Unknown:

Distance covered in one complete rotation = ?

Solution:

One complete rotation will sweep through the circumference of the wheel.

So,

  One complete rotation = Circumference of circle  = 2 [tex]\pi[/tex] r

Where r is the radius;

         Radius here is [tex]\frac{80}{2}[/tex]  = 40m

So circumference = 2 x [tex]\pi[/tex] x 40 = 80[tex]\pi[/tex]

The distance the wheel sweeps through will be 80π m

Answer:

He would have to do 13 rides.

Step-by-step explanation:

If he initially pays $7, which lets him pay only $1 for each ride, so when he spends $20, he would have done 13 rides.

There are 13 rides will Luka need to ride in order to spend $20.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Luka buys a special pass to a fair for $7 that allows him to go on every ride for $1 each.

Here, Luka need to ride in order to spend $20.

Let number of rides = x

So, We can formulate;

⇒ $7 + $1x = $20

⇒ 7 + x = 20

Solve for x as;

⇒ x = 20 - 7

⇒ x = 13

Learn more about the mathematical expression visit:

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Answer:

57

Step-by-step explanation:

x= 180-123

x=57

Answer:

[tex]V=2x^2+8x+8[/tex]

Step-by-step explanation:

The volume of a right rectangular prism is given by :

[tex]V=lbh[/tex]

Where,

l is length, bis breadth and h is height

ATQ,

Height of the cage is 2feet

The length and width are both x feet more than the height.

l = b = (x+2)

So,

[tex]V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x[/tex]

So, the correct option is (D).

Answer:

Your Ans is

Option D.....

Answer:

The answer is C 2^3

hope this helps!!!

Answer:

2^3

Step-by-step explanation:

Ok, let's jump right in!

Multiply 2^6 by 2^−3 by adding the exponents.

Use the power rule a^m a^n = a^m+n to combine exponents. Therefore, we get:

2^ 6-3

Subtract 3 from 6.

2^3

TIP: For next time remember that when you have to multiply exponents you that have the same base number you really just have to add the exponents.

Answer:

10/-2= -5

Step-by-step explanation:

slope= change of y/ change of x

Answer:

C

Step-by-step explanation:

500* (0.035)

17.5*2

35

Answer:

The answer is 0.1x-16

Step-by-step explanation:

-3.4x+3x+.5x=0.1x and -25+9 is -16  which is 0.1x-16

Answer:

1,268,620

Step-by-step explanation:

Multiply 1,852×685

Answer:

1268620 meters

Step-by-step explanation:

685x1852= 1268620

Answer:

-4 x 3= 12 divid 2= 6 x -6 =12

Step-by-step explanation:

Answer:

The answer is 2(3)+6

Step-by-step explanation:

The perenthesis means multiplication so you would first do 2 times three which is 6 and then 6+6=12 and the first expresion is 2(a+3) a=3 to solve that you would do whats in the perenthesis 3+3 which equals 6 and then the 6 in the perenthesis means mulitplication. so then you would do 2 times 6 and get 12. so the 3rd one is the answer.

Answer:

18$

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

odd + odd gives even

odd + even gives odd

so odd + odd + even + odd = even + even + odd = even + odd = odd

So the sum is a odd number

thanks

The sum of three odd numbers is odd and that added to an even number results in an odd number.

An even number raised to the even or odd power is even and an odd number raised to the power of even or odd is always an odd number.

We know the sum of two even numbers is even, the sum of two odd numbers is also even and the sum of an odd and even number is odd and vice versa.

Given four numbers first two numbers are odd so their sum is even.

The next two numbers are even and odd so their sum is odd, Now the sum of even and odd is odd.

learn more about odd and even numbers here :

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Answer:

118 degrees

Step-by-step explanation:

Supplementary = sum of the angles equal 180 degrees

180 - 62 = 118

118 degrees is your answer

Hope this helps!

Answer:

118°

Step-by-step explanation:

i’m different

Answer:

16

Step-by-step explanation:

12/3 +6×2

4+12=16

Hope it helps

Answer:

The answer is x = -35

Answer:

heidnejfrbfj

Step-by-step explanation:

heudbdbeb

[tex]f(x) = \frac{x}{2} - 2 \\ [/tex]

[tex]g(x) = 2x + {(x - 3})^{2} [/tex]

[tex]f(x) + g(x) = (f + g)(x)[/tex]

[tex]( \frac{x}{2} - 2) +( 2x + ({x - 3})^{2} \: ) = \\ [/tex]

[tex] \frac{x}{2} - 2 + 2x + {x}^{2} - 6x + 9 = \\ [/tex]

[tex] {x}^{2} - 6x + 2x + \frac{x}{2} + 9 - 2 = \\ [/tex]

[tex] {x}^{2} - 4x + \frac{x}{2} + 7 = \\ [/tex]

[tex] {x}^{2} - \frac{8}{2}x - \frac{1}{2}x + 7 = \\ [/tex]

[tex](f + g)(x) = {x}^{2} - \frac{9}{2}x + 7 \\ [/tex]

_________________________________

Done....

♥️♥️♥️♥️♥️

Given :

The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.

To Find :

How many more boxes should they expect to use.

Solution :

We know, 1 ton = 2000 pounds

So, 2 ton = 4000 pounds

Minimum number of boxes required for safe handling :

[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]

So, total 160 boxes required.

Therefore, 160 - 50 = 110 many more boxes should they expect to use.

Hence, this is the required solution.

Answer:

110 more boxes

Step-by-step explanation:

Answer:

X-10

Step-by-step explanation: i dont really know what ur asking tho

Answer:

x - 10

Step-by-step explanation:

a number is used as a variable and "the difference" means subtraction

Answer:

if you answer my most recent question ill answer this one.

Step-by-step explanation:

Answer:

The roots are;

x = (2 + i)/5 or (2-i)/5

where the term i is the complex number representing the square root of -1

Step-by-step explanation:

Here, we want to use the completing the square method to solve the quadratic equation;

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

Set the function to zero

0 = -5x^2 + 4x - 1

So;

-5x^2 + 4x = 1

divide through by the coefficient of x which is -5

x^2 - 4/5x = -1/5

We now take half of the coefficient of x and square it

= -2/5^2 = 4/25

add it to both sides

x^2 - 4x/5 + 4/25= -1/5 + 4/25

(x- 2/5)^2 = -1/5 + 4/25

(x - 2/5)^2 = -1/25

Take the square root of both sides

x - 2/5 = √( -1/25

x - 2/5 = +i/5 or -i/5

x = 2/5 + i/5 or 2/5 - i/5

Answer:

$22.50

Step-by-step explanation:

50/100 = x/45

cross multiply

50 × 45 = 100 × x

2250 = 100x

divide both sides by 100

22.5 = x

*note: marksup the price means that $45 should be more than what the value of x is. $45 is more than $22.50. you can also check your work by looking at the fact $22.50 is exactly half (50%) the amount of $45*

Answer:

y= -3/5x+5

Step-by-step explanation:

im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa

Answer:

There are 10 men in the dance recital.

Step-by-step explanation:

The ratio 2:5 means that for every 5 women there are 2 men.

We will divide 25 by 5 to figure out how many groups there will be.

[tex]25/5=5[/tex]

[tex]x*y=z[/tex]

x = amount of groups.

y = amount of men per group

z = total amount of men.

[tex]5*2=10[/tex]

This means that there are 10 men in the dance recital.