Provide the correct justifications for each statement in the derivation of the tangent difference identity.
1.

identity

2. Trigonometric

identities

3. Divide numerator and denominator by


4. Factor out common factors using the quotient identity.

Answer:

(14y+6y)+(9x+1x)

Step-by-step explanation:

Answer:

180°

Step-by-step explanation:

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

​

=

sinB

b

​

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

∘

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

​

=

sin73

2.7

​

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

​

≈2.131≈2.1

Answer:

Y= 17.5

Step-by-step explanation:

140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5

Answer:

the answer is -4 because the Y values are going down 4 at a time.

Answer:

The value of parameter n of binomial random variable is 50.

Step-by-step explanation:

The value of n parameter is 50 because it is the size of sample of flights. In binomial experiment the process is repeated fixed n number of times and here in the given scenario random sample of 50 flights is the n which is fixed throughout the process.

Answer: 16.4cm

Step-by-step explanation: 4cm=20km

82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

If a system has at least one solution, it is called consistent

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

∴ The best answer is " The lines are the same "

Answer:

x intercept is (1/2, 0).

y intercept = (0, -1/3)

Step-by-step explanation:

2/3x - 1/3 = 0

2/3x = 1/3

x = 1/3 * 3/2

x = 1/2.

y =  2/3(0) - 1/3 = -1/3.

Answer:$94.50

Step-by-step explanation:5% of 50 is 2.5 and 5% of 40 is 2 so the math you would do is 50+40+2.5+2 which equals $94.50.

Answer:

two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.

Step-by-step explanation:

Answer:

The correct answer is -3

Step-by-step explanation:

attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.

Moving five units from -3 to 2 on a number line is given as follows:

-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2

From the motion expression shown above, moving from -3 to 2 involves moving 5 units.

another way of determining the correct answer is to find the difference in interval between the two points as shown below:

Let the point be x

2 - x = 5 units

2 - 5 = x

∴ x = -3

Answer:

-3

Step-by-step explanation:

it was on quiz baby

Answer:

There is 5 4rth

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

Consider the data provided.

(a)

Compute the mean of the data in seconds as follows:

Mean =AVERAGE(array)

         = 225.280 seconds

(b)

Compute the median of the data in seconds as follows:

Median =QUARTILE.EXC(array,2)

            = 229 seconds

(c)

Compute the variance of the data in seconds as follows:

Variance =VAR.S(array)

              = 1148.043 seconds

(d)

Compute the standard deviation of the data in seconds as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 33.883 seconds.

(e)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.755 minutes.

(f)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.817 minutes

(g)

Compute the variance of the data in minutes as follows:

Variance =VAR.S(array)

              = 0.319 minutes

(h)

Compute the standard deviation of the data in minutes as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 0.565 minutes.

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .

Answer:

y=0.13x^2+13.68x+750

this the function rule

Step-by-step explanation:

brainliest

Answer:

im the other

make sure u give it to tfue_the_god

Step-by-step explanation:

Answer:

angle T = 114

Step-by-step explanation:

SRT = STR

angle R = angle T

angle R = 33°

so angle R and angle T = 33°

all angles on a triangle = 180°

so

angle R + angle S + angle T = 180°

and angle R and S = 33° so subtitute...

33 + 33 + T = 180

then solve:

66 + T = 180

-66         -66

T = 114

mathy way:

SRT = STR                 Given

SRT = 33                   Given

33 = STR                   Substitution Property of Equality

STR = 33                  

R + S + T = 180°        Deffinition of triangle

33 + 33 + T = 180     Substitution Property of Equality

66 + T = 180             Addition

T = 114                       Subtraction Property of Equality

Answer:

1) [tex]2x^{4} -x^{3} +2x^{2} -4x+5+\frac{6}{x+2}[/tex]

2) [tex]5x^{3}+15x^{2} +45x+151+\frac{474}{x-3}[/tex]

Step-by-step explanation:

Answer:

x ∈ R ( 0 , + ∞ )

Step-by-step explanation:

In the function:

F(x) = 4*x -0,1*x²

The domain of  F(x) is all the set of real numbers

R ∈ ( -∞ , +∞ )

values for F(x), can be found from negative and positive values of x

for instance for:

x = -2          F(x) = 4*(-2) - 0,1 * (-2)²        F(x) = - 8,4

x = 2           F(x) = 4*(2) - 0,1 * (2)²           F(x) = 7,6

But distance x could not be negative ( there is not negative distance in the real world), therefore the reasonable range restricts values of x only to positive values.

Then x can be any number x ≥ 0  ( distance could be 0 )

Answer:

C) The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.

Step-by-step explanation:

its right on edg

Answer:

The possible range of values for F are from 8 to 30

Step-by-step explanation:

Here, we have a triangle DEF and we want to get the possible lengths of the third side

To evaluate the possible lengths of the third side , we need to follow a rule

The rule is that, for the third side, the sum of the two other sides must be greater than it

This means that the length should be less than d + e

Mathematically;

f < d + e

f < 12 + 19

f < 31

So it could be 30

It could also range from 30 to 8

This is because if it is less than 8, then the addition to 12 will be less than or equal to 19

Ans = Error

The value of x is unknown Therefore, it cannot be simplified.

Try giving the value of x and I will try again.

Answer:

4.5

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

12/3 = 4

Answer:

12

i think..............................

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54