Which of the following is equivalent to - 4(2x - 3)?

A. -12+8x
B. 12+8x
C. 12-8x
D. 12x+8

Given:

The expression is

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

To find:

The value of the expression.

Solution:

We have,

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

It can be written as

[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]

[tex]=\dfrac{10+(6)^2}{2}[/tex]

[tex]=\dfrac{10+36}{2}[/tex]

[tex]=\dfrac{46}{2}[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

Answer:

12 hits

Explanation:

8/12 simplified is 2/3

18 divided by 3 = 6

1/3 would equal 6/18

2 x 6 = 12

This means 2/3 would equal 12/18

Meaning the answer is 12 I believe.

Answer:

adi's height = n-t inches

Step-by-step explanation:

from this question

we have Adi to be t inches shorter than sunnee.

sunnee's height = n inches tall

to get adis height, we have to subtract the height difference t from sunnee's height.

the height difference is how many inches by which Adi is shorter = t

adies height = sunnee's height, n - difference in height, t

= (n-t) inches

this expression represents adis height in inches .

Answer:

c

Step-by-step explanation:

because by add and subtracting

Answer:

i. A = 4 + 3t .......... 1

  B = 12 + 2t .......... 2

ii. The hours required would be 8 hours.

Step-by-step explanation:

The charges at each of the garages can be expressed as;

i. For garage A,

A = 4 + 3t .......... 1

ii. For garage B,

B = 12 + 2t .......... 2

where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.

To determine the number of hours  parked that would make the cost of each garage the same.

Let:

equation 1 = equation 2

4 + 3t = 12 + 2t

collect like terms

3t - 2t = 12 - 4

t = 8

The hours that would make the cost of each garage the same is 8 hours.

Answer: 16/9

Step-by-step explanation:

Area of circle = pi * r^2

Circle C = 16pi

Circle E = 9pi

Ratio of C to E = C/E

16pi/9pi = 16/9

The ratio of the area of circle C to circle E is 16/9.

Hence, option B is the right choice.

The area of a circle is the product of π, a constant, and the square of its radius (r). The radius of the circle is any line connecting the center of the circle to any point on its circumference (boundary).

Therefore, the area of a circle = πr².

In the question, we are asked to determine the ratio of the area of circle C to circle E, from the given diagram.

In the diagram, for circle C,

The center is at the point (-3, 1).

For radius, we choose the point (1, 1) on the circumference.

Therefore, radius = √((1 - (-3))² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:

d = √((x1 - x2)² + (y1 - y2)²)}.

or, radius = √(4)² = √16 = 4.

Therefore, area = πr² = π4² = 16π.

In the diagram, for circle E,

The center is at the point (4, 9).

For radius, we choose the point (1, 9) on the circumference.

Therefore, radius = √((1 - 4)² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:

d = √((x1 - x2)² + (y1 - y2)²)}.

or, radius = √(-3)² = √9 = 3.

Therefore, area = πr² = π3² = 9π.

Therefore, the ratio of the area of circle C to circle E = 16π/9π = 16/9.

Hence, option B is the right choice.

Learn more about the area of a circle at

https://brainly.com/question/22685822

#SPJ2

Answer:

Your answer is B

Oh and have a nice day and stay safe!

- all love from jen <3

Answer:

The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]

Step-by-step explanation:

x²+4x+4 is factorable

Answer:

The point-slope form of an equation of the line is:

[tex]y-9 = 5(x+2)[/tex]

Step-by-step explanation:

Given

Slope m = 5

Point (-2, 9)

Point slope form of an equation of a line:

Point slope form of an equation of a line is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case,

substituting the values m = 5 and the point (x₁, y₁) = (-2, 9) in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 9 = 5 (x - (-2)[/tex]

[tex]y-9 = 5(x+2)[/tex]

Therefore, the point-slope form of an equation of the line is:

[tex]y-9 = 5(x+2)[/tex]

Answer:

its A

Step-by-step explanation:

solution; mixture. Salt and water would be a solution because the salt dissolves into the water, making it chemically combined. When the iron fillings are added, it becomes a mixture because it cannot chemically combine.

Answer/Step-by-step explanation:

Apply trigonometric ratio to solve for x in all problems given.

1. Reference angle = 29°

Adjacent = x

Hypotenuse = 13 m

Thus:

[tex] cos(29) = \frac{x}{13} [/tex]

Multiply both sides by 13

[tex] 13*cos(29) = x [/tex]

11.4 = x (nearest tenth)

x = 11.4 m

2. Reference angle = 63°

Opp = 18 cm

Hypotenuse = x

Thus:

[tex] sin(63) = \frac{18}{x} [/tex]

Multiply both sides by x

[tex] x*sin(63) = 18 [/tex]

Divide both sides by sin(63)

[tex] x = \frac{18}{sin(63)} [/tex]

x = 20.2 cm (nearest tenth)

3. Reference angle = 71°

Opp = 14 ft

Adjacent = x

Thus:

[tex] tan(71) = \frac{14}{x} [/tex]

Multiply both sides by x

[tex] x*tan(71) = 14 [/tex]

Divide both sides by tan(71)

[tex] x = \frac{14}{tan(71)} [/tex]

x = 4.8 ft (nearest tenth)

Answer:

D. 81 sq. ft.

Step-by-step explanation:

We know x, y, and z's lengths. Those are 3, 12, and 9 respectively.

I first imagined a 12 by 9 rectangle and then figured about the area of the shaded part.

The 12 by 9 rectangle is 108 sq ft, But there is a empty part on the top left. That would be a 9 ft by 6 ft triangle.

The area of a triangle can be figured out with this formula: A = bh/2 Substitute b and h for 9 and 6 respectively.

A = (9 * 6)/2

A = 54/2

A = 27 sq. ft.

Now, subtract 27 from 108 to get the area of the shaded part.

108 - 27

81 sq. ft.

The area of the tile being used is 81 sq. ft.

Answer:

c

Step-by-step explanation:

Answer:

Easy it 6.4 you get it by dividing.

Step-by-step explanation:

Answer:

Okay sure

1. 8a-22

2. 5v+7

3. 17c+1

4. 15x-8y

Step-by-step explanation:

You just have to combine them together.

Answer:

6x+10

Step-by-step explanation:

6 left and go up 10 and thats the point

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

Answer:

13,000

Step-by-step explanation:

8,613 rounded is 9,000

3,885 rounded is 4,000

so 9,000 + 4,000 = 13,000

Answer: x=-2

Step-by-step explanation:

y=x+1

y=-x-3

-x-3=x+1

-4=2x

x=-2

Answer:

[tex]-\frac{x-4}{9}[/tex]

Step-by-step explanation:

Replace x with f(x)

solve for f(x)

Answer:

12 cm

Step-by-step explanation:

8 divided by 4 is 2

6 x 2 = 12

Answer:

The blue dot is on -3.1

Step-by-step explanation:

Answer: The blue dot is -3.21

Answer:

3 for the first question and 12 for the second question

Step-by-step explanation:

For the first question 6^2 = 12 × X and 36 = 12x divide both sides by 12 and x = 3

For the second question x^2 = 18 × 8

x^2 = 144

x = 12

Answer:

hello your question is incomplete attached below is the complete question

answer: f'(x) = -f'(-x)

Step-by-step explanation:

suppose f is differentiable even function

we will apply the definition of even function considering that f is differentiable

attached below is a detailed solution and from the solution it can be concluded that f' is odd everywhere in its domain, whenever f is even

Answer:

783

Step-by-step explanation:

87×9=783

:) have a good day

Answer:

783

Step-by-step explanation:

you can split the 87 into two parts, multipy 80*9, which is 720, and then 7x9, which is 63. Add them up and you got 783.

Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

C. Y= 3x - 4