Factor the polynomial using the greatest common factor.
4x9 + 3x2. 2x

Answer:

1: 65 in^2

2. 55 ft^2

Step-by-step explanation:

1. First you have to find the area of the trapezoid using the formula (a+b)h/2 where a= 10, b=15, and h=8. The answer will be 100. Then subtract the area of the square inside, which is 35. The final answer is 65.

2. Subtract from the dimensions of the landscape to find the dimensions of the patio. The length of the patio is 11 ft and the width is 5 ft. Therefore, the area is 55 ft^2

Answer:

Alright, helping you because I feel bad. 1) 76 in. 2) 24 in.

Step-by-step explanation:

1. [tex]A= \frac{a+b}{2} h[/tex]    a= base b= base h= height   Plug in the numbers, [tex](\frac{10+15}{2} ) 8= 100[/tex], but we still need to subtract the area of the un-shaded region (5×2)+(7×2)= 24

100-24= 76

2. Find the area of both landscaping rectangles, including the patio bit.

(14×2)+(8×2)=

28+16=

44in.    The two rectangles are the same size, so they both have an equal area. Now we find the area of just the patio spot, W= (8-3)×2  L= (14-3)×2 W= 10 L= 22  A=32 in.

Now, we multiply by two, since we counted it twice, 64 in.

Finally, subtract 64 from the the sum of the two areas from the landscape rectangles,  88-64= 24 in.

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

Answer:

the answer is  =-3±[tex]\sqrt{281}[/tex]/2

Step-by-step explanation:

Answer:

             [tex]\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}[/tex]

Step-by-step explanation:

[tex]p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88[/tex]

Answer:

(-2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -2

2x + 3y = -1

Step 2: Rewrite Systems

Find LCM of both equations.

Step 3: Redefine Systems

6x + 8y = -4

-6x - 9y = 3

Step 4: Solve for y

Elimination

Step 5: Solve for x

Answer:

80 degrees

Step-by-step explanation:

The 132-deg angle is an exterior angle of the left triangle.

The 52-deg angle is a remote interior angle to the exterior angle above.

Angle VZY is also a remote interior angle to the exterior angle above.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

We use the theorem above to find the measure of angle VZY.

52 + m<VZY = 132

m<VZY = 80

Angles WZX and VZY are vertical angles, so they are congruent.

m<WZX = m<VZY = 80

Answer: 80 degrees

Answer:

m∠WZX = 80°

Step-by-step explanation:

Angle V is a flat angle, so it measures 180°.

Find ∠YVZ (blue angle): 180° - 132° = 48°

Triangle VYZ is 180° (all triangles are 180°).

Find ∠YZV (red angle): 180° - 52° - 48° = 80°

Since you know ∠YZV, you can find ∠WZX (green angle).

∠YZV and ∠WZX are opposite angles, so they are congruent.

Therefore, ∠WZX = 80°

Hope this helps :)

Answer:

141.5 in

Step-by-step explanation:

sin 58 = m/p = 120/p

120 = psin58

120/sin 58 = p

p = 141.5 in.

Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side.  Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p

Area of the composite figure will be 52.5 cm².

Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG

Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                        = [tex]\frac{1}{2}(5)[8-(1+2)][/tex]

                        = [tex]\frac{1}{2}(5)(5)[/tex]

                        = 12.5 cm²

Area of rectangle DEFG = Length × Width

                                        = 8 × 5

                                        = 40 cm²

Area of the composite figure = Area of triangle ABC + Area of DEFG

                                                = 12.5 + 40

                                                = 52.5 cm²

       Therefore, area of the composite figure will be 52.5 cm².

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Answer:

Whats the question?

Answer:

Yeeeee

Step-by-step explanation:

Answer:

The solution to the inequality is:

[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]

-5 and -6 are the solution values.

Step-by-step explanation:

Given the inequality

[tex]6\ge \:4x-5[/tex]

Let us solve the inequality

[tex]6\ge \:4x-5[/tex]

switch sides

[tex]4x-5\le \:6[/tex]

Add 5 to both sides

[tex]4x-5+5\le \:6+5[/tex]

Simplify

[tex]4x\le \:11[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}\le \frac{11}{4}[/tex]

Simplify

[tex]x\le \frac{11}{4}[/tex]

Thus, the solution to the inequality is:

[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]

In our case, we are given the values -6, 8, and -5

We have already determined that the solution is x ≤ 2.75.

Since the solution is x ≤ 2.75, so -5 and -6 come under the solution set because -5 and -6 are less than 2.75.

Hence, -5 and -6 are the solution values.

The graph of the solution of the inequality is also attached below.

The solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

6 ≥ 4x − 5

Adding 5 both the side we get,

6 + 5 ≥ 4x − 5 + 5

⇒ 11 ≥ 4x

Dividing both the side by 4 we get,

11/4 ≥ 4x/4

⇒  11/4 ≥ x

or, x ≤ 11/4

this is the required solution of the given inequality.

Thus, the solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.

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Answer:

11a+12b

Step-by-step explanation:

9a+12b+2a=11a+12b

Answer:

The root symbol (√ ) is used to represent the square root of any number.

Answer:

[tex]\sqrt{x}[/tex]

Square Root

Answer:

Verdadero

Step-by-step explanation:

Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...

2 / 6 = 0.333

6 / 18 = 0.333

Answer:

2,900

Step-by-step explanation:

Answer:

enneagon

Step-by-step explanation:

Answer:

The answer is 36m

Step-by-step explanation:

Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.

According to law of conservation of energy, the statement  which best describes what has happened is that energy has been transformed from one form to another.

According to law of conservation of energy, it is evident that energy  is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Robert Mayer in the year 1812.

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Answer: [tex]A=15000(1.30)^t[/tex]

Step-by-step explanation:

Formula to find the price of an item after t years after withe a depreciation rate of r% is [tex]A=P(1-\dfrac{r}{100})^t[/tex], where P = Initial value of item.

Given: P = $15,000, r= 30%

Then, the value of car after t years will be :

[tex]A= 15000(1+\dfrac{30}{100})^t\\\\\Rightarrow\ A=15000(1+0.30)^t\\\\\Rightarrow\ A=15000(1.30)^t[/tex]

The required general formula for the value of the car t years after its purchase:

[tex]A=15000(1.30)^t[/tex]

Answer:

Let the digits 0,1,2,3 and 4 represent the birth of a boy, and let digits 5,6,7,8, and 9 represent the birth of a girl. Use a table of random digits. Choose the first 10 digits in the table and record the number of boy and girl births. Continue to choose batches of 10 digits for a total of 100 times, recording the number of boy and girl births. (possibly B)

Answer:

b !! (0.5, 0.5)

Step-by-step explanation:

if you used the formula to find midpoint 9i included a picture, you would get the fractions (1/2, 1/2) !! that as a decimal is 0.5 !! so the answer is b !! i really hope this helps !!

Answer:

x=12the opposite side of parallelogram are equal

Answer:

8

Step-by-step explanation:

Since, intercepts made by parallel lines on transversals are in proportion.

Therefore,

[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]

Step-by-step explanation:

Given

x² = 36

x² =( +6)²

x = +6

Hope it will help :)

Answer:

x= 18

Step-by-step explanation:

Divide both sides by 2

2 and 2 cancel out

36/2=18

check that it fits

2 x 18=36

18 is correct

Hope this helps ^-^

Step-by-step explanation:

I've used substitution method over here and got the value of X and Y

Answer:

Step-by-step explanation:

its c

Answer:

I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.

The walkway has 3 cement slabs,

He uses a total amount of 14 cubic feet to make the complete walkway.

This means that the 3 cement slabs together have a total volume of 14 ft^3

To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:

Volume of each slab = (14 ft^3)/3 = 4 ft^3

This means that each cement slab has a volume of 4 ft^3.

Answer:

6 ft^3

Step-by-step explanation:

Step-by-step explanation:

use the formula to calculate slope