6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0):
k = 1/5

The solution to the given expression is (6x^4-40)(36x^8+48x^4+16)

We have the following expression

[tex]=216x^{12}-64[/tex]

we can also write it as

[tex]=(6x^4)^3-(4)^3[/tex]

Now from the formula

[tex]a^3-b^3=(a-b)(a^2+b^2+2ab)[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)((6x^4)^2+(4)^2+(2\times 6x^4\times 4)[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)((6x^8+16+(48x^4))[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)(6x^8+48x^4+16)[/tex]

Thus the solution to the given expression will be

[tex](6x^4-40)(36x^8+48x^4+16)[/tex]

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Answer:

I made a mistake I was trying to say something else

Explanation:

The value of the given expression will be  [tex]\rm (f\ Log_6\ e)[/tex]

It is given in the question that

log subscript 6 baseline e superscript f

When we convert it into the mathematical form we get

[tex]\rm=Log_6\ e^f[/tex]

Now from logarithmic property

[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]

By using this property the expression will become

[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

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Answer:

flog6e

Step-by-step explanation:

promise it's correct

Answer:

-4 and 4.

Step-by-step explanation:

they are both the same distance away from zero on a number line so they cancel out to equal 0

Answer:

4

Step-by-step explanation:

4-4=0 we know that for the number to be zero it has to subtract the opiset of itself such a 4 and -4

Answers:

x = 10

y = 61

===================================================

Explanation:

The two angles at the bottom add to 180, since they form a straight angle.

y+119 = 180

y = 180-119

y = 61

The angle (5x+11) and angle y = 61 are corresponding angles. They are congruent because of the parallel lines

5x+11 = y

5x+11 = 61

5x = 61-11

5x = 50

x = 50/5

x = 10

Note that

5x+11 = 5*10+11 = 50+11 = 61

which matches with y = 61, so that helps confirm the right x value.

Answer:

Y=61

X=10

Step-by-step explanation:

180-119=61=y

61=5x+11

50=5x

x=10

Answer:

, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from

Answer:

#1 - All real numbers are solutions.

#2 - All real numbers are solutions.

Step-by-step explanation:

#1 -

Let's solve your equation step-by-step.

12(6t−4)=3t−2

Step 1: Simplify both sides of the equation.

12(6t−4)=3t−2

(12)(6t)+(12)(−4)=3t+−2(Distribute)

3t+−2=3t+−2

3t−2=3t−2

Step 2: Subtract 3t from both sides.

3t−2−3t=3t−2−3t

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

Same for #2

Answer:

120

Step-by-step explanation:

An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120

A square has 4 sides. Each exterior angle = 360 / 4 = 90

A regular n gon has n sides. The exterior angles will be 360/n

First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

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Answer:

9 hours

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The slope of the line parallel to the original line is the same. And you don't add x after the slope.

Answer:

144

Step-by-step explanation:

sense you have the line in the triangle you would add that to the 16 (length) and multiply that by the 6 (hight) and that would be the area (144)

Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

Answer:

25

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Let x be the number

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]

[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]

[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]

Hello.

First, "half a number" means we divide that number by 2.

Let's say the number is z.

Divide z by 2:

[tex]\displaystyle\frac{z}{2}[/tex]

Add 5 to it:

[tex]\displaystyle\frac{z}{2} +5[/tex]

Now, this expression equals 11:

[tex]\displaystyle\frac{z}{2} +5=11[/tex]

Subtract 5 from both sides:

[tex]\displaystyle\frac{z}{2} =11-5[/tex]

[tex]\displaystyle\frac{z}{2} =6[/tex]

Now, in order to get rid of the fraction, we should multiply the entire equation by 2:

[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]

[tex]z=6*2[/tex]

[tex]\Large\boxed{z=12}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

=1.675 lb

As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

Answer: 56lb

Step-by-step explanation:

Wilma has:

5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb

6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb

There is a total of 40lb + 72lb = 112 lb.

Now we know that she uses 4 lb, so now she has:

112lb - 4lb = 108lb.

Now she wants to fill 26 bird feeders, that can hold 2 lb each.

So she needs 26*2lb = 52lb

The amount of bird seeds that she has left is:

108lb - 52lb = 56lb

Answer:

There are 6 sides to this cube.

There are two sides to this coin.

To roll a number less than two, you can only roll a 1.

So there is a 1/6 chance of getting a 1.

To get heads on a coin, there is only a 1/2 chance.

If you wanted to get both these desired outcomes, the chance of getting these are;

1/6 x 1/2

= 1/12 is the probability.

Answer:

x = 6 cm

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Length = 5 cm

Width = (x + 12) cm

Height = (x + 6) cm

Volume of a rectangular prism = 1,080 cubic centimeter

Volume of a rectangular prism = length × width × height

1080 = 5 * (x+12) * (x+6)

1080 = 5 (x^2 + 6x + 12x + 72

1080 = 5 (x^2 + 18x + 72)

1080 = 5x^2 + 90x + 360

Divide through by 5

216 = x^2 + 18x + 72

Subtract 216 from both sides

x^2 + 18x + 72 - 216= 0

x^2 + 18x - 144 = 0

Using factorization method to solve the quadratic equation

x^2 + 24x - 6x - 144 = 0

x( x+ 24) - 6 ( x + 24) = 0

(x + 24) (x - 6) = 0

x + 24 = 0

x = -24

x - 6 = 0

x = 6

x = -24 or 6

x can not be a negative value , so, x = 6 cm

Answer:

C, $40

Step-by-step explanation:

Based on the pattern shown here, the employee is gaining $10 for every hour they spend working. This means that if the employee works for 4 hours, they get 4*10=$40.

As the worker gets $10 per hour

Step-by-step explanation:

For 4 hours

$10 x 4 = $40

so for working four hours the worker will get $40

Answer:

what you need to be more specific  like forward  or backward if forward it`s   60.0000     if backwards its  5898.00

Step-by-step explanation:

Answer:

397

Step-by-step explanation: you placed 325 already and earned 19  you add 325  19 50 3 you get your final product which is 397 which is what you will earn or get out of your savings

Answer:

If this is from edge the answer is B.

Step-by-step explanation:

I just had this question on edge 2022

Lmk if u got it right :)

Answer:

a

Step-by-step explanation:

on edge

Answer:

x = 2√58

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:

   a² + b² = c²

⇒ a² + 6² = (6√2)²

⇒ a² = (6√2)² - 6²

⇒ a² = 36

⇒ a = 6

Now we have the base and height of the larger interior triangle, we can calculate x:

    a² + b² = c²

⇒ 6² + 14² = x²

⇒ x² = 232

⇒ x = √232

⇒ x = 2√58

[tex]\\ \rm\Rrightarrow \dfrac{6\sqrt{2}}{6}=\dfrac{x}{14}[/tex]

[tex]\\ \rm\Rrightarrow 6x=84\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=14\sqrt{2}[/tex]

Answer:nAvsghahsgdg

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

-10.75(20x+15.2)

-215x-163.4

-hope it helps

The equivalent expression is,

⇒ - 215x - 163.4

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

Given that;

The expression is,

⇒ - 10.75 (20x + 15.2)

Now, We can simplify as;

⇒ - 10.75 (20x + 15.2)

⇒ - 10.75 × 20x - 10.75 × 15.2

⇒ - 215x - 163.4

Thus, The expression is equivalent to - 215x - 163.4.

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Answer:

Smallest: 9/27
Second: 16/30
Largest: 15/25

Step-by-step explanation:

15/25= 0.6

16/30= 0.53

9/27= 0.33

Easiest way to do this is to do this is to make them have the same digits.

0.60 or 0.6

0.53 or 0.5

0.33 or 0.3

now, you just find the order of these smallest to largest...

3, 5, 6

0.33, 0.53, 0.60

0.3, 0.5, 0.6

9/27, 16/30, 15/25

Hope this helps, Brainliest is appreciated :)

Have a Great day! cx

~Mitsuna

Answer:

15. 60% of 25 is 15.