Read the proof.

A 2-column table with 3 rows. Column 1 has entries 1, 2, 3. Column 2 is labeled Step with entries sine (2 x) = sine (x + x), question mark, sine (2 x) = 2 sine (x) cosine (x).

What is step 2?

A. sin(2x) = cos(x)cos(x) – sin(x)sin(x)
B. sin(2x) = sin(x)cos(x) – sin(x)cos(x)
C. sin(2x) = cos(x)cos(x) + sin(x)sin(x)
D. sin(2x) = sin(x)cos(x) + sin(x)cos(x)

Answer:

1,5,9,13,17,21,25,29

Step-by-step explanation:

From the information given.

Let represent the number of white beads with x and the number of blue beads with y. So, the beads can be illustrated as:

bead   color

1             x

2            y

3            y

4            y

5            x

6            y

7            y

8            y

Suppose n denotes the no. of beads that are white.

Then the subsequent no is ( n + 4).

Since the first number n = 1

Then the subsequent numbers will follow the pattern of adding 4 to the number.

i.e.

n = 1 + 4 = 5

n = 5 + 4 = 9

n = 9 + 4 = 13

n = 13 + 4 =1 7

n = 17 + 4 = 21

n = 21 + 4 = 25

n = 25 + 4 = 29

Thus, the number for the first eight beads that are white are:

1,5,9,13,17,21,25,29

The pattern shows odd numbers only.

Answer:

2.5 cups of milk

Step-by-step explanation:

Given that,

A cake recipe calls for 1.5 cups of milk and 3 cups of flower.

Seth made a mistake and used 5 cups of flour.

We need to find number of cups of milk he use to keep the proportions correct. Let he used x cups of milk.

[tex]\dfrac{1.5}{3}=\dfrac{x}{5}\\\\x=\dfrac{1.5\times 5}{3}\\\\x=2.5[/tex]

Hence, he should use 2.5 cups of milk.

Answer:

what

Step-by-step explanation:

The Slope of line (1, 1) and (3, 9) is 4.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

The Figure of the graph is attached below.

We have the Coordinates as (1, 1) and (3, 9).

So, the slope of line

= (9- 1)/ (3-1)

= 8/ 2

= 4

Thus, the slope of line is 4.

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Answer:I'm pretty sure the ratio is 3:1

Step-by-step explanation:

Answer:

1. D     2. A

Step-by-step explanation:

Can I have Brainllest answer Please I need It.

Answer: 1. 4

2. 12

3. 6

4. 8

Step-by-step explanation:

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

sarah is a slow reader.....51/17=3

so she reads 3 pages per day

Step-by-step explanation:

Answer:

In think is the first one

Answer:

I think the first one is 4 and the second one is 2

Step-by-step explanation:

Answer:

B. 36 C. 180 D. 240 E. 1,656

Step-by-step explanation:

Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.

Using distributive property to multiply 24 × 69 to determine our partial products:

i.e.

24 × 69 = 24 × (60 + 9)

= (24 × 60) + (24 × 9)

= 60 (20 + 4) + 9(20 + 4)

So; we can have:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36  

= 1656

Answer:

The ratio 90: 105 is not equivalent to 15: 18 ⇒ C

Step-by-step explanation:

Let us simplify the given ratio to its simplest form first

∵ The ratio is 15: 18

∵ 15 and 18 have a common factor 3

→ Divide each term of the ratio by 3

∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6

∴ The simplest form of ratio 15: 18 is 5: 6

Let us find which choice will not give us the same ratio 5: 6

∵ 60: 72 have a common factor 12

→ Divide each term of the ratio by 12

∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6

∴ The simplest form of ratio 60: 72 is 5: 6

∴ The ratio 60: 72 is equivalent to 15: 18

∵ 35: 42 have a common factor 7

→ Divide each term of the ratio by 7

∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6

∴ The simplest form of ratio 35: 42 is 5: 6

∴ The ratio 35: 42 is equivalent to 15: 18

∵ 90: 105 have a common factor 15

→ Divide each term of the ratio by 15

∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7

∴ The simplest form of ratio 90: 105 is 6: 7

∴ The ratio 90: 105 is not equivalent to 15: 18

Answer:

30 cm

Step-by-step explanation:

Answer:

time the number together

Step-by-step explanation:

Answer:

12 and 12

Step-by-step explanation:

Answer:

Hi again! Hope you are well. Could you help me with this? One of them is wrong but I can't figure out which one.

Answer:

The answer is TO

Step-by-step explanation:

Answer:

C. To

Step-by-step explanation:

edg 2020

Answer:

x = 7

Step-by-step explanation:

From the above question, we are told that:

∠A and ∠B vertical angles.

It is important to note that vertical angles are equal to each other

Hence:

∠A = ∠B

From the question,

∠A = (5x−2)°

∠B = (3x+12)°

Hence:

(5x−2)°= (3x+12)°

5x - 2 = 3x + 12

Collect like terms

5x - 3x = 12 +2

2x = 14

x = 14/2

x = 7

Answer:

X=14

Step-by-step explanation:

Step-by-step explanation:

x+x+x+x+2.5(2)+3(2)=x+x+2.5+3(3)

4x+5+6=2x+2.5+9

4x+11=2x+11.5

-11         -11

4x=2x+0.5

-2x    -2x

2x=0.5

x=0.25

The equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Given:

Each triangle = 2.5 pounds

Each circle = 3 pounds

Each square = x pounds

The hanger has two sides

Side 1:

squares = 4

Triangle = 2

Circle = 2

Side 2:

Squares = 2

Triangle = 1

Circle = 3

The equation:

side A = side B

4(x) + 2(2.5) + 2(3) = 2(x) + 1(2.5) + 3(3)

4x + 5 + 6 = 2x + 2.5 + 9

4x + 11 = 2x + 11.5

x + x + x + x + 11 = x + x + 11.5

Therefore, equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

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Unit rate = cost / quantity

Lower unit rate is better deal.

3.50/10 = 0.35

2.40/6 = 0.40

The original 10 for 3.50 is the better deal.

Answer:

As we know that

Unit = Rate/Quantity

[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]

[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]

The original deal was better because it was cheap than new deal.

Answer:

k = 1

Step-by-step explanation:

so we basically have to solve for k

13 = 4k + 9

subtract 9 from both sides

4 = 4k

divide both sides by 4 to get k by itself

4/4 = 1

4k / 4 = 1k = k

1 = k

hope this helps <3

Answer:

Step-by-step explanation:

the area of the circle:

A= 3.14 x r^2

A=3.14 x1=3.14 ft^2

Answer:

[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]

Step-by-step explanation:

[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a) [tex]\frac{1}{3}[/tex] k² - 9

b) -7y² - 3

Step-by-step explanation:

a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²

  = [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9

  = [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36

  = [tex]\frac{3}{9}[/tex] k² - 27

  = [tex]\frac{1}{3}[/tex] k² - 9

____________________________________

b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)

  = 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)

  = 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)

  = 5y² + 15 - 12y² - 18

  = 5y² - 12y² + 15 - 18

  = -7y² - 3

Hope this helps!

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Answer:

7 to the fourth power, 7*7*7*7 , and 7^4

Step-by-step explanation:

Answer:

7 x 7 x 7 x 7

7 to the fourth power

7^4

Step-by-step explanation: