Can the distributive property be used to rewrite 6(9 - 4) ?

Answer:

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

Step-by-step explanation:

4x^3 + 10x² - 6x

Factor out 2x

2x( 2x^2 +5x -3)

Factor inside the parentheses

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

Answer:

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

Step-by-step explanation:

4x³ + 10x² - 6x

here 2x is a common factor then we can pull it out:

4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)

                        = 2x(2x² + 5x - 3)

                        = 2x(2x-1)(x+3)

2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

Answer:

(x+2)(3x+8)

Step-by-step explanation:

Answer:

The answer is A (97.5)

Step-by-step explanation:

Formula Using the Diagonals

That means the two diagonals form two sides of a square that is twice the size of the rhombus. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.

(13)(15) /2 = 195 /2

(Decimal: 97.5)

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Answer:

m∠HLI = m∠ILM

Step-by-step explanation:

Answer:

X< -1.26

Step-by-step explanation:

Combine like terms and solve like any other two step equations

Answer:

X< -1.26

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Using the trigonometric identity

sin2x = 2sinxcosx

That is the angle on the right side is half the angle on the left, thus

sinΘ = 2sin([tex]\frac{1}{2}[/tex] Θ )cos([tex]\frac{1}{2}[/tex]Θ ) → b

Answer:

228 ft^2

Step-by-step explanation:

1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.

The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2

Answer:

Total weight of blades = ~134gm

Step-by-step explanation:

Radius of circle, [tex]r[/tex] = 4 inches

Central angle of sector = [tex]20^\circ[/tex]

For finding the weight of blades, we need to find the area of blades.

Area of circle, A = [tex]\pi r^{2}[/tex]

We know that circle has a central angle of [tex]360^\circ[/tex].

We can use unitary method to find the area of sector with angle [tex]20^\circ[/tex].

Area of [tex]360^\circ[/tex] central angle = [tex]\pi r^{2}[/tex]

Area of [tex]1^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2}[/tex]

Area of [tex]20^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2} \times 20[/tex]

Putting value of r = 4 inches

Area of blade:

[tex]\dfrac{\pi}{360} \times 4^{2} \times 20\\\Rightarrow 2.79\ in^{2}[/tex]

We have 3 blades here, so area of 3 blades =

[tex]2.79 \times 3\\\Rightarrow 8.38\ in^{2}[/tex]

Weight of steel = 16 grams per square inch

Total weight of all 3 blades = 16 [tex]\times[/tex] 8.38 = ~ 134gm

Answer:

8,5.2,6.7,82 sorry i had to hurry up

Answer:

8

5.2

6.7

82

Step-by-step explanation:

all that are bigger than 5

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Answer:

Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish

Step-by-step explanation:

So make the variables.

Hungarian = x

Polish = y

x  and y are the amount of time she spent in minutes.

x + y = 5

150x + 270 = 190y

x = 5 - y

750 - 150y + 270 = 190y

1020 = 340y

y = 3

x = 2

Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

Answer:

Step-by-step explanation:

The rectangle in the middle has an area of 30 because it is a 3x10.  

The triangles each have an area of 6 because they are a 3x4 and the forumla to find it is .5(bh) which is .5(12)=6.  There are 2 of them so the total area of the triangles add up to 12.  

Add the area and get 42.  30+12=42

Answer:

-0.544m

Step-by-step explanation:

The height of the barnacle is approximately is, 0.657 meters.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Graph y = sin(x)

Boat travel= 7m

Now,

Let y be the height of the barnacle and x be the distance the boat has traveled

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7)

≈0.657.

Therefore, by algebra the answer will be 0.657 meters.

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Answer:

a

Step-by-step explanation:

2x +7= 19

2x= 19 -7 (-7 on both sides)

2x= 12 (simplify)

x= 12 ÷2

x= 6

Answer:

a

Step-by-step explanation:

Given

2x + 7 = 19 ( subtract 7 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

y = 10, x = 10sqrt3

Step-by-step explanation:

30-60-90 right triangles follow the ratio of x:xsqrt3:2x

In this case, 2x = 20, so y = x = 10, and x = xsqrt3 = 10sqrt3

If you are curious as to how to find these ratios, I suggest noticing that the 30-60-90 triangle is really just half of an equilateral triangle.

Answer:

x = 10sqrt(3) = 17.3

y = 10

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The short leg is half the hypotenuse.

hypotenuse = 20

short leg = y = 20/2 = 10

The long leg is sqrt(3) times the short leg.

long leg = x = 10sqrt(3) = 17.3

Answer:

18

Step-by-step explanation:

PEMDAS

(3+2)=5

5^2=25

25-7=18

Answer:

120°

Step-by-step explanation:

you can divide the shape into 4 triangles

each triangle is 180°

180 x 4 = 720

720 divided by the number of angles (6) is 120

Answer:

120

Step-by-step explanation:

360/3=120

The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5

The function is given as:

[tex]g(x) = 2^{x - 1} + 3[/tex]

Set x = 0, to calculate the y-intercept

[tex]g(0) = 2^{0-1} + 3[/tex]

Simplify the exponent

[tex]g(0) = 2^{-1} + 3[/tex]

Express 2^-1 as decimal

[tex]g(0) =0.5 + 3[/tex]

Add 0.5 and 3

[tex]g(0) =3.5[/tex]

This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5

Also, the graph of g(x) has a horizontal asymptote at y = 3.5

Read more about exponential graphs at:

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Answer:

3 graph

Step-by-step explanation:

Answer:

[tex]\frac{2}{7}+\sqrt{121}[/tex]

Step-by-step explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.

Sum of a rational and irrational number is irrational.

In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number

So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.

In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number

So, [tex]\pi+\sqrt{16}[/tex]  is not a rational number.

In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number

So, [tex]\frac{2}{7}+\sqrt{121}[/tex]  is a rational number

In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number

So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.

Answer:

2 / 7 + 12

Step-by-step explanation:

he is right i  just took the test i just wanna help more ..

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

Answer:

(3,4)

Step-by-step explanation:

if the original is (-3,4) and its a reflection over a vertical line that's the y-axis, the x would become opposite, which would mean -3 becoming 3.

Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)

Images that are reflected are mirror images of each other. The coordinate (x, y) reflected over the y-axis will have the resulting coordinate at (-x, y).

Note that reflecting over the y-axis negates the x-coordinate point while the y-coordinate stays the same.

Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)

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Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

The amount of the pure drug in 75 ml will be 17.5 grams.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The ratio of the two proportional items will remain the same.

The amount of the drug is directly proportional to the contained liquid.

If 35 gms of the pure drug are contained in 150 ml.

Then the amount of the pure drug in 1 ml will be

⇒ 35 / 150

⇒ 0.2333 grams per ml

Then the amount of the pure drug in 75 ml will be

⇒ 0.2333 x 75

⇒ 17.5 grams

The amount of the pure drug in 75 ml will be 17.5 grams.

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Answer:

The answer is the slope of XV is 1.

The slope of UW is -1

The slopes of the diagonals are negative reciprocals

The diagonals of kite UVWX are perpendicular

Step-by-step explanation:

Negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

One of the diagonal of a kite has a slope that is equal to the inverse

multiplied by (-1)  of the other, therefore the diagonals are perpendicular

Reasons:

The proof that the diagonals of a kite are perpendicular is as follows;

The properties of a kite are;

The lengths of adjacent sides are equal

Therefore, taking the vertex at , U, as the origin, we have;

Coordinates of U = (0, 0)

Coordinates of V = (-a, b)

Coordinates of W = (0, c)

Coordinates of X = (a, b)

Step 1:

[tex]\displaystyle The \ slope \ of \ XV = \mathbf{ \frac{b - b}{x - (-x)} }=0[/tex]

The slope of XV is 0; XV is a horizontal line.

Step 2:

[tex]\displaystyle The \ slope \ of \ UW = \mathbf{\frac{c - 0}{0 - 0}} =\infty[/tex]

The slope of UW is infinity; UW is a vertical line.

Step 3:

The slope of the diagonals are; m₁ = 0, and m₂ = ∞

The above values satisfy the equation, [tex]\displaystyle m_2 = \mathbf{-\frac{1}{m_1}}[/tex]

Therefore;

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Answer:

x=-28/3

28/x=1-4

28/x=-3

28=-3x

-28/3=x

switch them around and that's your answer.

Answer:

x = 4

Step-by-step explanation:

28÷x+4=11

28/x  + 4 = 11

Subtract 4 from each side

28÷x+4-4=11-4

28 / x = 7

Multiply each side by x

28/x * x = 7x

28 = 7x

Divide each side by 7

28/7 = 7x/7

4 =x

Answer:

Try this solution, it consists of two parts (MN=8).

Step-by-step explanation:

Answer:

the smallest prime factor of 52 is 2

Step-by-step explanation:

What is the smallest prime that is a factor of 52?

52 = 4*13, or 52 = 2*2*13.  So the smallest prime factor of 52 is 2.

Answer:

AAA would be the answer

Step-by-step explanation:

The answer would be AAA because they both have equal angles. 90 and 45. Because they are vertical angles, where they intersect at S is also an congruent angle. Angle U is congruent to angle Q and so on.

Answer:

AAA

Step-by-step explanation:

This is an isosceles trapezoid, because the two angles are supplementary on the right side.

y is 25 based on the Pythagorean theorem

w is sqrt (850)=29.15

z must be 15

Making a right triangle to look at the altitude

cos 59=a/15, so a is 7.73 between the right corner and the edge of x

That means x is 29.15-2(7.73)=13.69

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

The median should be half way between 13.69 and 29.15

That is half their sum, or half of 42.84 or 21.42

That doesn't change the answer above

Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.

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