A rectangle has sides measuring (6x 4) units and (2x 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points).

Answer:

6x-5/2

Step-by-step explanation:

4x+1/2+2x+(-3)

4x+2x+1/2-3

6x+1/2-3

6x+1/2-6/2

6x-5/2

Answer:

the answer is 3 3/7 or 24/7

The solution is 14.38

The value of x from the equation 32 (x − 8) = 14x + 3 is x = ( 14 7/18 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

32 (x − 8) = 14x + 3   be equation (1)

Now , on simplifying the equation , we get

32 ( x ) - 32 ( 8 ) = 14x + 3

32x - 256 = 14x + 3

Adding 256 on both sides of the equation , we get

32x = 14x + 259

Subtracting 14x on both sides of the equation , we get

18x = 259

Divide by 18 on both sides of the equation , we get

x = 259/18

The value of x = 14.38

Therefore , the value of x = 14.38 or 14 7/18

Hence , The value of x from the equation is x = ( 14 7/18 )

To learn more about equations click :

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Check the picture below on the left-hand-side.

we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.

now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm  so which is it?

well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then

[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]

Check the picture below on the right-hand-side

Answer:

kite; P=45–√+413−−√ units; A=32 units2

Step-by-step explanation:

Find the length of each side using the Distance Formula.

Find the length of side HA.

HA=(−10−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−−√

=(−4)2+(6)2−−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Find the length of side AT.

AT=(−6−(−10))2+(6−4)2−−−−−−−−−−−−−−−−−−−−√

=(4)2+(2)2−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side TC.

TC=(−2−(−6))2+(4−6)2−−−−−−−−−−−−−−−−−−−√

=(4)2+(−2)2−−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side HC.

HC=(−2−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−√

=(4)2+(6)2−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Therefore, HA=HC=213−−√ and AT=TC=25–√.

Since there are two pairs of congruent consecutive sides, HATC is a kite by definition.

Find the perimeter of the kite as the sum of the four sides.

P=213−−√+25–√+25–√+213−−√=45–√+413−−√ units

To find the area of the kite, first find the lengths of the diagonals AC and TH using the Diatance Formula.

The figure shows the same quadrilateral H A T C as in the beginning of the task. Diagonal A C is perpendicular to diagonal T H.

Find the length of diagonal AC.

AC=(−2−(−10))2+(4−4)2−−−−−−−−−−−−−−−−−−−−√

=(8)2+(0)2−−−−−−−−−√

=64−−√=8

Find the legth of diagonal TH.

TH=(−6−(−6))2+(−2−6)2−−−−−−−−−−−−−−−−−−−−−√

=(0)2+(−8)2−−−−−−−−−−√

=64−−√=8

Find the area of the kite using the formula for the area of a kite, A=12d1d2.

Substitute 8 for d1 and 8 for d2.

A=12(8)(8)=32 units2

Therefore, the perimeter of the kite is 45–√+413−−√ units and the area is 32 units2.

Answer:

x = 3.6

Step-by-step explanation:

=> x2 - 12x + 32 = (x - 8)

=> 2x - 12x + 32 = (x - 8)

=> 2x - 12x + 32 = x - 8

=> 2x - 12x - x = -8 -32

=> -10x - x= -40

=> -11x = -40

=> (-11x)/-11 = (-40)/-11

=> x = 3.636363636363636

=> x = 3.6

Answer:

151100 because hundred contain two zeros

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

Answer:

324 square inches

Step-by-step explanation:

just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer

[tex]\\ \rm\rightarrowtail sin45=\dfrac{x}{12}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{2}}=\dfrac{x}{12}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{12}{\sqrt{2}}[/tex]

[tex]\\ \rm\rightarrowtail x=6\sqrt{2}ft[/tex]

Now

[tex]\\ \rm\rightarrowtail tan60=\dfrac{y}{6\sqrt{2}}[/tex]

[tex]\\ \rm\rightarrowtail y=6\sqrt{6}[/tex]

1 inch equals 250 feet.

Multiply the inches on the map by 250 to get total feet.

30 x 250 = 7,500 feet

24 x 250 = 6,000 feet

The park is 7,500 feet long by 6,000 feet wide

The scale factor of the drawing is 1 inch equal to 250 feet. Then the actual length and width are 7500 feet and 600 feet.

The scale factor means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

A scale drawing of a park is 30 inches long and 24 inches wide. On the drawing, 1 inch is equal to 250 feet. Then the actual dimension will be

Length = 30 × 250

Length = 7500 ft

Width = 24 × 250

Width = 6000 ft

More about the scale factor link is given below.

https://brainly.com/question/2856466

Answer:

105

Step-by-step explanation:

L*W*H

7*3*5 = 105

Answer:

In this context, the word "enigma" means mystery.

Step-by-step explanation:

Answer:

Mystery, puzzle

Context clue: "No one ever traced the sound when they heard it." + "The reason that the source of the noise is such an" provide context clues that this may be a mystery or some sort of puzzling puzzle.

Answer:

Considering the amounts in each table, the difference function is given as follows:

x|          1       2     3         4

(f - g)(x)|1.74 7.41  17.21   31.34

At each value of x, the difference function (f - g)(x) is given by f(x) - g(x).

Hence, from the table given:

(f - g)(1) = f(1) - g(1) = 1,576.74 - 1,575 = 1.74.

(f - g)(2) = f(2) - g(2) = 1,657.41 - 1,650 = 7.41.

(f - g)(3) = f(3) - g(3) = 1,742.21 - 1,725 = 17.21.

(f - g)(4) = f(4) - g(4) = 1,831.34 - 1,800 = 31.34.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

400 feet^3 hope this helped!

Answer:

let the number be " x "

[tex]\bold{x - 5 = 2(x + 9)} \\\bold{ x - 5 = 2x + 18 } [/tex]

gathering the like terms together , we get

[tex]\bold{2x - x = - 5 - 18} \\\bold{ x = - 23}[/tex]

hope helpful~

Answer:

The answer is going to be 7 or X=7. Here is how that conclusion came to be. Five less than twice a number is 9; here is the mathematical sentence we created to represent the statement:

2X-5=9 now lets work it.

2X-5+5=9+5

2X=14 , lets divide boyh sides of the equation by 2.

2X/2=14/2

X=7 Now lets prove this number represents X.

2(7)-5=9

14–5=9

9=9

I HOPE THIS HELPED YOU.

Answer:

x=11

Step-by-step explanation:

you need to get x by itself so just add it to the other side and you get x=11

Answer:

x =11

Step-by-step explanation:

x - 3 = 8

To solve the equation, we have to isolate 'x'.

To isolate 'x',  we have to add 3 to both sides.

x - 3 + 3 = 8 + 3

x = 11

Answer:

20+(56)-18=

Step-by-step explanation:

some specific values are carried on 15 to 60 numbers

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Here's the Surface Area formula I use ⇣

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Surface Area = length x width + length x height + height x width

- - - - - - - - - - - - - - - - - - - - - - - - - - -

So, let's use it...

9m x 7m = 63m

9m x 5m = 45m

5m x 7m = 35m

- - - - - - - - - - - - - - - - - - - - - - - - - - -

63m + 45m + 35m = 143m

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Have a great day! :)

~pinetree

Answer:

286

Step-by-step explanation:

Formula 2 x (height x depth + height x width + depth x width)
2 x (5 x 7 + 5 x 9 + 7 x 7) = 286

Answer:

The answer is -3g=(-6)

Answer:

I think it's 29

Step-by-step explanation:

if I'm wrong let me know and I'll delete my answer

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Answer:

Approximately 494,314 people

This is an exponential growth question, specifically population growth. We will use the following equation to help us solve this situation:

P(t) = a(1+r)t

P(t) = total population (??)

a = initial population = 260,000

r = growth factor (the percent as a decimal) = 0.055

1 + r = 1 + 0.055 = 1.055

t = time in years = 12

So, we can substitute all our information and solve:

P(12) = 260,000(1.055)12 = 494,313.95

Rounding to the nearest whole person, 494,314 people in 12 years.

Answer:

Step-by-step explanation:

r = 4 units

Given shape is 3/4 part of circle.

Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]

                               [tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]

                                = 37.68 square units

Answer:

x = m*n / p

Step-by-step explanation:

am * an / ap = ax

=> x = m*n / p