Last question im putting all my points into this pleae help! 50 points!

[tex]\qquad \sf  \: \huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: f(x) = \tan(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \tan(2x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 \tan(x) }{1 - { \tan {}^{2} (x) }^{} } [/tex]

replace tan(x) with f(x) in the given equation ~

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 (f(x) )}{1 - { (f {}^{} (x)) {}^{2} }^{} } [/tex]

The expression that was proved is [tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex]

Given the trigonometry identity

f(x) = tanx

f(2x)  tan2x

From double angle theorem;

[tex]tan2x=\frac{tanx+tanx}{1-tanx(tanx)} \\tan2x=\frac{2tanx}{1-tan^2x}[/tex]

Since f(x) = tan(x), substitute into the result to have:

[tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex] (Proved)

Learn more on double angle here: https://brainly.com/question/14691

Answer:

Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs

Answer:

y = - 7

Step-by-step explanation:

Since the solution is always the same for y, y equals that solution and does not depend on x.

Answer:

(B) V = 8 x 6 x 3

Step-by-step explanation:

The formula to find the volume of a rectangular prism is, V = Length x Width x Height cubic units.

V = 8 x 6 x 3 cm 3.

V = 192 cm 3.

Brainliest?!

Answer:

64cm squared

Answer:

64cm²

Step-by-step explanation:

8cm x 8cm = (8cm)²

8 x 8 = 64

cm x cm = cm²

=64cm²

Answer: Yellow option

Step-by-step explanation:

The points noted are (0,-2) and (3,-1)

So the slope is (-2--1)/(0-3) = -1/-3 = 1/3

So options blue, green and red are out.

So the only option is yellow

Answer: 126 in

I used a calculator. It matches.

hope this helps =)

Answer:

1=C

2=E

3=D

4=B

5=A

Step-by-step explanation:

Answer:

It's 5

Step-by-step explanation:

-4x+5=-15 (subtract 5)

-4x=-20 (divide by -4)

x=5

Step-by-step explanation:

Work backwards. First, create a function:

f(x) = x

First, instead of adding 5, subtract it:

f(x) = x - 5

Then, divide by -4:

f(x) = (x - 5) ÷ -4

Then plug in -15:

f(-15) = (-15 - 5) ÷ 4

= -20 ÷ -4

= 20 ÷ 4

= 5

Answer:

$8000

Step-by-step explanation:

With the provided values you get the equation

1800+.15x=3000

with x being the amount of sales he needs

1. 3000-1800=1200

gives 1200=.15x

2. 1200/.15 = 8000

so x = 8000

Answer:

3 5/8

Step-by-step explanation:

divide 29 by 8,

8 times 3 is 24

29-24, remainder is 5

Answer:

390cm

Step-by-step explanation:

Answer:

6 of the 30 apples are green

6 / 30 = .2

So 20% of the apples are green.

Percentage of the apples are green is 20%

"A Percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol %".

According to the question

Total Apples = 30

Red Apples = 24

Green Apples = 6

Percentage of the apples are green = [tex]\frac{6}{30}[/tex]×[tex]100[/tex]

= [tex]20[/tex] % or [tex]0.2[/tex]

∴ Percentage of the apples are green is 20%.

Learn more about percentage here

https://brainly.com/question/16797504

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Answer:

Step-by-step explanation:

Sentence should be:

How we get the %:

2 is 20% of 10.

20% of 10 is 2.

Answer: GCF = 6, LCM = 72

Step-by-step explanation:

The prime factorization of 18 is 2*3^2 and the prime factorization of 24 is 2^3*3

Therefore, the gcf is 2*3 = 6.

The lcm is 2^3*3^2 = 8*9 = 72

Answer: C is your answer

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

the triangles are symmetrical. therefore their angles will be equal.

interior angles of a triangle = 180°

180° - 30° - 70° = m<D

80° = m<D

Answer:

14 1/3

Step-by-step explanation:

3 × 4 7/9

=3 × 43/9

= 43/3

= 14 1/3

Answer:

43/3

Simply 14⅓

Step-by-step explanation:

4 7/9 can also be expressed as (4x9+7)/9 = 43/9

3x43/9 = 43/3

After simplifying = 14⅓

Answer:

  A.  (-2, -1) is the solution to the linear system

Step-by-step explanation:

Substitute for x and y and see if the equations are true.

  -1 = 3(-2) +5 . . . . true

  -2 +(-1) = -3 . . . . .true

(-2, -1) is the solution to the linear system.

Answer:

(x+5^3 is the answer of this question

Answer:

x=3

Step-by-step explanation:

The square root of 225 is 15

so 15=4x+3

    -3        -3

      12=4x

If 12=4x then x=3

Answer:

7 hours

Step-by-step explanation:

12hrs=1116kms

1hr=1116÷12

1hr=93kms

Xhrs=651kms

Xhrs=(651÷93) ×1

=7×1

=7hrs

Answer:

0.666777

Step-by-step explanation:

not sure not my grade level

Answer:

y = -2x + 9

Step-by-step explanation:

slope intercept form : y = mx + b

where m = slope and b = y intercept

first let's find the slope

slope formula :

[tex]m = ( \frac{y2 - y1}{x2 - x1} )[/tex]

where the x and y values are derived from the given points

here we are given (2,5) and (6,-3)

(x1,y1) = (2,5) so x1 = 2 and y1 = 5

(x2,y2) = (6,-3) so x2 = 6 and y2 = -3

we now plug these values into the formula

recall formula

[tex]m= ( \frac{y2 - y1}{x2 - x1} )[/tex]

plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3

m = (-3 - 5) / ( 6 - 2 )

m = (-8)/(4)

m = -2

the slope is -2

now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b

y = mx + b

given point : (2,5) x = 2 , y = 5, m = -2

5 = -2(2) + b

5 = -4 + b

9 = b

so the equation would be y = -2x + 9

Rewrite the equation in slope- intercept form.

3(y-1) = 2x + 2

Use the distributive property

3y-3 = 2x + 2

Add 3 to both sides

3y = 2x + 5

Divide both sides by 3

Y = 2/3x + 5/3

Slope = 2/3

Answer:

2 different ways

Step-by-step explanation:

You are looking at the factors of 60.

1×60 does not work, too many pictures in a row.

2×30 does not work, too many pictures in a row.

3×20 THIS WORKS!

4×15 THIS ALSO WORKS!

5×12 Nope, too many rows

6×10, no, too many rows

So there's just two ways to arrange the pictures.