Please help me graph this right

Please Help Me Graph This Right

Answers

Answer 1

go 6 to the left of 0 and 10 up from -6


Related Questions

What is the volume of this rectangular prism.

Answers

Answer:

Volume of Rectangular Prism:

V = lwh thus: V = 5 cm³

Step-by-step explanation:

Answer:

l = 2.5 cm

w = 4 cm

h = 0.5 cm

d = 4.74342 cm

S = 26.5 cm²

Agenda:

l = length

w = width

h = height

d = diagonal

S = surface area  

V = volume

Answer:

The answer is 5 cm cubed.

Step-by-step explanation:

First, use the formula for solving rectangular prisms, l*w*h(length times width times height). If you do that, 4*1/2 is 2. 2*5/2 is 5. Thus, the answer is 5.

Hope this helps!

ANSWER THIS QUESTION FAST AND I WILL GIVE YOU BRAINLEST

1.The graph shows two lines, M and N.


How many solutions are there for the pair of equations for lines M and N? Explain your answer.



2.Consider the following pair of equations:


y = x + 4

y = −2x − 2


Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.


THE GRAPH IS FOR QUESTION 1.

Answers

Answer:

{y,x} = {-6,-2}

Step-by-step explanation:

/ Solve equation [2] for the variable  y  

 [2]    y = 2x - 2

// Plug this in for variable  y  in equation [1]

  [1]    (2x-2) - x = -4

  [1]    x = -2

// Solve equation [1] for the variable  x  

  [1]    x = - 2

// By now we know this much :

   y = 2x-2

   x = -2

// Use the  x  value to solve for  y  

   y = 2(-2)-2 = -6

Javier has 30 year mortgage on his 120,000 home hid bank required a 20% down payment and initially offers him a rate of 5.75% but he chose to buy 2 points and lower his rate.His current mortgage is 55.698 Taken all this into consideration ,what is the total financed price he paid for his home ? ​

Answers

Answer:226,432.80

Step-by-step explanation:

Final answer:

Javier's total financed price for his home, excluding the longer-term interest but including the cost of buying points, is $97,920. This total includes the initial mortgage of $96,000 after a 20% down payment on a $120,000 home and the $1,920 spent on purchasing two points to reduce the interest rate.

Explanation:

Javier's home cost $120,000, and he was required to make a 20% down payment. Twenty percent of $120,000 is $24,000, which is the down payment amount. Therefore, the initial loan amount is $120,000 - $24,000 = $96,000.

Buying points typically costs 1% of the loan amount per point to lower the interest rate by a certain percentage. It is not specified how much the rate was lowered by purchasing 2 points, but we can calculate the cost. Two points on a $96,000 loan is 2% of $96,000, which equals $1,920.

Thus, the total financed price of the home, not counting interest payments over the term of the mortgage but including the cost of the points, is the initial loan amount plus the cost of the points: $96,000 initial loan + $1,920 for points = $97,920.

Indicate in standard form the equation of the line passing through the given points. M(0, 6), N(6, 0)

Answers

ANSWER

[tex]x + y = 6[/tex]

EXPLANATION

Given the x- intercept: (a,0)

and the y-intercept : (0,b)

The equation in standard form is given by:

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

The given x-intercept is N(6,0) and y-intercept is M(0,6).

This implies that:

a=6, and b=6.

We substitute into the formula to obtain:

[tex]\frac{x}{6} + \frac{y}{6} = 1[/tex]

Multiply through by 6 to get the standard form of the equation as:

[tex]x + y = 6[/tex]

what is the sum of the sequence 152,138,124, ... if there are 24 terms?

Answers

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

[tex]Sn=\frac{(a_1+a_n)n}{2}[/tex]

Where:

[tex]a_1=152\\a_n=a_{24}[/tex]

You should find  [tex]a_{24}[/tex]

The formula to find it is:

[tex]a_n=a_1+(n-1)d[/tex]

Where d is the difference between two consecutive terms.

[tex]d=138-152=-14[/tex]

Then:

[tex]a_{24}=152+(24-1)(14)=-170[/tex]

Substitute it into the first formula. Therefore, you obtain:

[tex]S_{24}=\frac{(152-170)(24)}{2}=-216[/tex]

Answer:

Sn = -216

Step-by-step explanation:

We are given the following sequence and we are to find the sum of the given sequence if there are 24 terms in it:

[tex] 152, 138, 124, ... [/tex]

We know that the formula of sum for an arithmetic sequence is given by:

[tex]S_n =\frac{n(a_1+a_n)}{2}[/tex]

where [tex]a_1[/tex] is the first term (124)and [tex]a_n[/tex] is the last term [tex]a_{24}[/tex].

To find [tex]a_1[/tex], we will use the following formual:

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_24=152+(24-1)(-14)[/tex]

[tex]a_{24}=170[/tex]

Substituting the given values in the above formula to get the sum:

[tex]S_n =\frac{24(152-170)}{2}[/tex]

[tex]S_n=-216[/tex]

The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF? The answers are √10,√17,4√10,4√17

Answers

EF = 4BC

BC = sqrt ((3-(-1)^2 +(1-2)^2)

=》 BC = sqrt (4^2 +(-1)^2) = sqrt17

=》 EF = 4BC = 4(sqrt 17)

Answer:

D. 4√17

Step-by-step explanation:

Path a for every 36 meters of horizontal distance , the vertical change is 14 meters

Path B for every 4.27 meters of horizontal distance , the vertical change is 2 meters

The grade of path a is _%
The grade of path b is _ %

Answers

Answer:

The grade for path a is 257.1428571%

The grade for path b is 213.5%

Step-by-step explanation:

To find the grade of a slope, you take the rise over run then you multiply by 100.

Easy question :)

There are 3 orange markers and 15 red markers in a box. Write a ratio that is equivalent to 3/15.

Answers

The answer would be 1:5

1:5 is the correct answer

Solve the following: 5x -1oy -6y +8x +4=

Answers

5x-1y-6y+8x+4
8x+5x = 13x + 4 = 17x -1y-6y= -7y
17x-7y = 10xy

This is how I was taught to solve it. However, your school may do it differently

Your job is to sort and sack marbles for sale. A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?

Answers

Answer:

2:1

Step-by-step explanation:

90-60 = 30 red marbles

blue:red → 60:30 → 2:1

what us a property of a base?
1)bitter taste
2)watery feel
3)strong color
4)unreactive​

Answers

Bases have bitter taste. (1)

Answer:

Bitter taste would belong to a base

Step-by-step explanation:




The table shows the mean daily temperature in Idaho during a week in January. Which statement about the data is true?

Math item stem image


The lowest mean temperature was on Tuesday.


The lowest mean temperature was on Thursday.


The highest mean temperature was on Sunday.


The highest mean temperature was on Tuesday.

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

The given table shows the mean daily temperature in Idaho during a week in January.

Sunday = 0.7°F

Monday = -1.2°F

Tuesday = -1.8°F

Wednesday = 1.1°F

Thursday = 0°F

Friday = 0.2°F

Saturday = -0.4°F

Arrange the temperature in ascending order.

-1.8°F, -1.2°F, -0.4°F, 0°F, 0.2°F, 0.7°F, 1.1°F

It means the lowest mean temperature was on Tuesday and the highest mean temperature was on Wednesday.

Therefore the correct option is 1.

Answer:

The lowest mean temperature was on Tuesday.

THIS IS THE EXACT ANSWER ON TTM

Step-by-step explanation:

What is the length of segment LM

Answers

Answer:

LM = 23 units

Step-by-step explanation:

triangle KLN and triangle MLN are congruent.

The segment LM is equal to segment LK.

Also, MN is same as KN, thus we can write:

[tex]MN=KN\\25=14x-3\\25+3=14x\\28=14x\\x=2[/tex]

Since, x = 2, we can get the side length LM:

[tex]LM=LK=9x+5\\LM=LK=9(2)+5\\LM=23[/tex]

Hence, LM = 23 units

Answer:

LM = 23 units

Step-by-step explanation:

From figure we can see an isosceles triangle KNM

KN = NM

NL is the perpendicular from N to KM,

Therefore KL = LM

To find the value of x

From figure we can write,

14x - 3 = 25

14x = 25 + 3 = 28

x = 28/14 = 2

To find LM

LM = KL

we have KL = 9x + 5

Therefore LM = 9x + 5 = (9 * 2) + 5  = 23 units

What I need to know from this equation is the answer and the way you got it

Answers

Answer:

see explanation

Step-by-step explanation:

given

2x² - 5x - 3 = 0 ← in standard form

To factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = - 5

The factors are - 6 and + 1

Use these factors to split the x- term

2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)

(x - 3)(2x + 1) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/1.5=1^1/2 hours. • Juan says if they work together the job will take 2+1.5/2=1^3/4 hours. Determine if either Jenna or Juan is correct. Explain your reasoning with numbers and words.

Answers

Answer:

There is a formula for this:

[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]

[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5

= 0.8571428571 Hours =

51.43 minutes

Both Jenna and Juan are INCORRECT.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 job / 2 hours + 1 job / 1.5 hours = 1 job / x  When they work together.

1/2 + 1/1.5 = 1/x                Basic Equation. Change to decimal form

0.5 + 0.6666 = 1/x          Add like terms on the left

1.1666666 = 1/x              Multiply by x on both sides.

1.1666667 x = 1               Divide by 1.16666667

x = 1 / 1.166667               Do the division.

x = 0.8571428              

x = 6/7 of an hour.

This kind of question will always produce an answer that is less than the smallest number.

So the answer must be smaller than 2 hours or 1.5 hours.

three times the sum of a number and eight is forty-five. what equation represents this?
3(n+8)=45
3*n+8=45
24n=45

Answers

Answer:

3(n+8)=45

Step-by-step explanation:

Don't pick the 2nd one because that would have been PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Hope this helps!

Option (A) The correct equation that represents 'three times the sum of a number and eight is forty-five' is 3(n+8)=45.

The equation representing "three times the sum of a number and eight is forty-five" is 3(n+8)=45. This is derived by translating the sentence into a mathematical expression: 'three times' corresponds to multiplication by 3, 'the sum of a number and eight' translates to the expression (n+8), where 'n' is the unknown number. Lastly, 'is forty-five' establishes the equality to 45.

Simplify 32 • 35.


37

310

Answers

Answer:

Simplify 32 • 35.

37

310

Step-by-step explanation:

• = Multiplication

Also by the process of elimination, 32+35 is not 37

Answer:

32x35=1120

Step-by-step explanation:

what is the Interquartile Range (IQR) for 6.0,6.5,6.2,5.5,6.8,6.3,6.4,6.7,6.5,6.2​

Answers

Answer:

The IQR is 0.2999999999999998

Step-by-step explanation:

You take the 3rd quartile and the 4th and you subtract them.

3rd-4th=IQR

Answer:

0.3

Step-by-step explanation:

5.5, 6.0, 6.2, 6.2, 6.3, 6.4, 6.5, 6.5, 6.8, 6.7

Median: 6.35

Lower quartile: 6.2

Upper quartile: 6.5

Interquartile range: 6.5 - 6.2 = 0.3

Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?

Answers

Final answer:

To calculate how much more Lynn owes in taxes, we need to subtract her deductions from her total income to find her taxable income, then apply the tax rate from the provided table (which is missing in this case) to determine her tax liability. Unfortunately, without the tax table, we cannot accurately compute her tax obligation or the additional amount owed beyond the $3,150 withheld.

Explanation:

The question involves calculating how much more in taxes Lynn will owe after her deductions. Lynn's total income before deductions is $38,900. After subtracting her total deductions of $11,450, her taxable income becomes $27,450. Without the tax table provided in the question, we cannot determine the exact tax rate applicable to Lynn's taxable income nor can we calculate the precise amount of taxes she owes or how much more she will have to pay on top of the $3,150 already withheld by her employer. Typically, to find out how much more Lynn owes, we would apply the appropriate tax rate to her taxable income and then subtract the amount already withheld.

Without specific tax rates and brackets from the tax table, we can only outline the steps to calculate Lynn's tax liability. This scenario underlines the importance of having complete information to accurately determine tax obligations.

The amount Lynn owe in taxes is determined as $399. (Option D).

How to calculate the amount Lynn owe in taxes?

The amount Lynn owe in taxes is calculated  by applying the following method as shown below.

Lynn income before tax = $38,900

the total deduction in Lynn income = $11,450

amount withheld for taxes = $3,150

Lynn total income after tax is calculated as;

total income after tax = $38,900  - $11,450

total income after tax = $27,450

From the tax table attached, the tax payable for a head of household earing an income between $27,450 and $27,500 is $3,549.

So if the employer withheld $3,150 for tax, the remaining amount to be paid for tax is;

remaining amount for be paid for tax is calculated as;

= total tax - amount withheld

= $3,549 - $3,150

= $399

Thus, the amount Lynn owe in taxes is $399.

The complete question is below:

Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?

A. $570

B. $563

C. $407

D. $399

If a rectangular prism with a length of 12 feet and a width of 9 feet has a surface area of 930 square feet find its height

Answers

Answer:

The height is 17 ft

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(LW +WH + LH)

where L = length, W = width, and H = height

We know SA = 930, L = 12, and W = 9

930 = 2(12*9 +9H + 12H)

Divide each side by 2

930/2 = 2/2(12*9 +9H + 12H)

465 = (12*9 +9H + 12H)

Combine like terms

465 = 84+21H

Subtract 84 from each side

465-84 = 84-84+21H

357 = 21H

Divide by 21

357/21=21H/21

17 = H

The height is 17 ft

Answer:

Height is 17 ft.

Step-by-step explanation:

Given: Rectangular Prism is also called cuboid

          Length, L = 12 ft.    and   width, W = 9 ft.

          Surface Area of cuboid, SA = 930 ft.²

To find: height , H

The surface area of a rectangular prism or cuboid

SA = 2(LW +WH + LH)

930 = 2(12×9 +9H + 12H)

[tex]\frac{930}{2}=108 +9H + 12H[/tex]

465 = 108 + 9H + 12H

108 + 9H + 12H  = 465

21H + 108 =  465

21H = 465 - 108

21H = 357

[tex]H=\farc{357}{21}[/tex]

H = 17  

therefore, Height is 17 ft.

A number from 1 to 100, inclusive, is selected at random. What is the probability that the
number selected—
a. is a prime number?
b. contains the digit 9?
c. is both prime and contains the digit 9?

Answers

Answer:i might be wrong but i believe its b

Step-by-step explanation:

Answer:

A : 1/4

B : 19/100

C : 3/50

Step-by-step explanation:

There are 25 prime numbers from 1 to 100.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

25/100 = 1/4

There are 19 numbers that contain 9.

9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, and 99.

19/100

There are 6 numbers that are prime and contain 9.

19, 29, 59, 79, 89, 97.

6/100 = 3/50

Graph the equations to solve the system y=-2x-3 y=x+6

Answers

Answer:Simplifying

y = -2x + -3

Reorder the terms:

y = -3 + -2x

Solving

y = -3 + -2x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = -3 + -2x

Step-by-step explanation:Simplifying

y = x + 6

Reorder the terms:

y = 6 + x

Solving

y = 6 + x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 6 + x

Please give me the answer

Answers

Answer:

Could be (1,-1) or (1,3) depending where is UP

Best regards

determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer. “How tall is sam?”

Answers

Answer:

No

Step-by-step explanation:

Here we are taking only one measurement:  the height of one person.  Strictly speaking, this is NOT a statistical question.

"List the heights of a sample of 50 first-graders" would definitely be a stat. question.

Final answer:

The question 'How tall is Sam?' is not a statistical question. Statistical questions expect a variety of responses, not a singular answer. Height is typically measured in feet or centimeters.

Explanation:

The question 'How tall is Sam?' is not considered a statistical question. A statistical question is one in which the answer varies and requires data collection for multiple items or individuals to answer. It is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you're interested in the distribution and tendency of those answers. For instance, 'How tall are the students in a class?' is a statistical question because it would result in a variety of answers and we could analyze that data set.

The unit for height in this context typically is measured in feet or centimeters.

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how many solutions does 9x+3=9x+5 have?​

Answers

There is No Absolute Solution

9x+3 = 9x+5 has zero solutions.

How to find the solution to an equation?

The solution of an equation can be found by finding the value of the variable in the equation.

We can find the solution of the given equation as follows:

9x+3 = 9x+5

⇒ 3 = 9x - 9x + 5

⇒ 3 = 5

But 3 ≠ 5

The variables canceled each other out and we found that the given equation doesn't have a solution. Thus the equation has no solution.

Therefore, we have determined that the given equation 9x+3=9x+5 has zero equations.

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ave buys a book for $8.58 and she pays with a $10 bill. how much change will she get back?

Answers

Answer:

$1.42

Step-by-step explanation:

Change = Amount She Pays With - The Cost of the Book

y=10-8.58

y=$1.42

Answer:

First we must subtract 10 into 8.58, which will equal 1.42

so she will have $1.42 change back

subtract -5x+7 from 3x-2 set up your expression show your work

Answers

3x-2

-(-5x+7)

☝️this is your equation

distribute your subtraction sign to -5x+7 and you get

3x-2

+5x-7

add everything together and you end up with

8x-9

Answer:

[tex]\large\boxed{(3x-2)-(-5x+7)=8x-9}[/tex]

Step-by-step explanation:

[tex](3x-2)-(-5x+7)\\\\=3x-2-(-5x)-7\\\\=3x-2+5x-7\qquad\text{combine like terms}\\\\=(3x+5x)+(-2-7)\\\\=8x-9[/tex]

Which statement about rhombuses and parallelograms is true?

A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.

B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.

C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.

D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.

Answers

Final answer:

The correct statement about rhombuses and parallelograms is that rhombuses always have four equal sides while parallelograms sometimes do not. The other options are not true for rhombuses and parallelograms.

Explanation:

The correct statement about rhombuses and parallelograms is option A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not. A rhombus, by definition, is a four-sided figure with all sides having equal length while a parallelogram is a four-sided figure with only opposite sides being equal.

Options B, C, and D are incorrect. Rhombuses do not always have four right angles; that is characteristic of a rectangle. Parallelograms always have opposite sides equal and parallel, so C and D are not true.

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The correct answer is option (A).The true statement is that rhombuses always have four equal sides, while parallelograms sometimes do not. This characteristic is a key distinction between rhombuses and general parallelograms. The other statements about angles and sides are incorrect regarding rhombuses and parallelograms.

To determine which statement about rhombuses and parallelograms is true, we need to understand their definitions and properties:

Parallelogram: A quadrilateral with opposite sides that are both parallel and equal in length. Opposite angles are equal, and adjacent angles are supplementary.Rhombus: A type of parallelogram where all four sides are of equal length. Additionally, the diagonals of a rhombus are perpendicular and bisect each other at right angles.

Given these definitions, let's evaluate each statement:

A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.
This is correct because a defining property of a rhombus is having four equal sides, whereas a general parallelogram only requires the opposite sides to be equal.B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.
This is incorrect because a rhombus does not necessarily have right angles.C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.
This is incorrect because rhombuses, as a type of parallelogram, also always have opposite sides equal.D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.
This is incorrect because rhombuses, being parallelograms, always have opposite sides parallel.

Option A) is the true statement as rhombuses always have four equal sides and parallelograms sometimes do not.

how can the probability of an event help make predictions?​

Answers

Answer:

The probability of an event can help in determining that how much chance is there of the event to occur. The probability is between 0 to 1 always. Closer value to 1 means that the event has more chance of occurrence while a probability close to zero means the event is less likely to occur.

Step-by-step explanation:

If sinx=1/9, x in quadrant 1, then find (without finding x):
Sin(2x)=
Cos(2x)=
Tan(2x)=?

Answers

Answer:

Part 1) [tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

Part 2) [tex]cos(2x)=\frac{79}{81}[/tex]

Part 3) [tex]tan(2x)=8\frac{\sqrt{5}}{79}[/tex]

Step-by-step explanation:

Part 1) Find sin(2x)

we know that

[tex]sin(2x)=2sin(x)cos(x)[/tex]

we have

[tex]sin(x)=\frac{1}{9}[/tex]

Find cos(x)

Remember that

[tex]sin^{2}(x)+cos^{2}(x)=1[/tex]

substitute

[tex](\frac{1}{9})^{2}+cos^{2}(x)=1[/tex]

[tex]cos^{2}(x)=1-(\frac{1}{9})^{2}[/tex]

[tex]cos^{2}(x)=1-(\frac{1}{81})[/tex]

[tex]cos^{2}(x)=\frac{80}{81}[/tex]

[tex]cos(x)=\frac{\sqrt{80}}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex] -----> is positive because angle x belong to the I quadrant

Find sin(2x)

we have

[tex]sin(x)=\frac{1}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex]

so

[tex]sin(2x)=2sin(x)cos(x)[/tex]

[tex]sin(2x)=2(\frac{1}{9})(4\frac{\sqrt{5}}{9})[/tex]

[tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

Part 2) Find cos(2x)

we know that

[tex]cos(2x)=cos^{2}(x)-sin^{2}(x)[/tex]

we have

[tex]sin(x)=\frac{1}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex]

so

[tex]cos(2x)=(4\frac{\sqrt{5}}{9})^{2}-(\frac{1}{9})^{2}[/tex]

[tex]cos(2x)=\frac{80}{81}-\frac{1}{81}[/tex]

[tex]cos(2x)=\frac{79}{81}[/tex]

Part 3) Find tan(2x)

we know that

[tex]tan(2x)=\frac{sin(2x)}{cos(2x)}[/tex]

we have

[tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

[tex]cos(2x)=\frac{79}{81}[/tex]

so

[tex]tan(2x)=\frac{8\frac{\sqrt{5}}{81}}{\frac{79}{81}}[/tex]

[tex]tan(2x)=8\frac{\sqrt{5}}{79}[/tex]

Final answer:

Using trigonometric identity functions, when Sinx equals 1/9, Sin(2x) equals 2√80/729, Cos(2x) equals 79/81, and Tan(2x) equals 162√80/56831.

Explanation:

The question asks for the values of Sin(2x), Cos(2x), and Tan(2x) when Sinx = 1/9 (x in Quadrant 1). To solve for these values, we can use the identity formulas. If given that sinx = 1/9, it follows that cosx = √(1 - sin²x) = √(1 - (1/81)) = √(80/81) because in quadrant 1, the cosine value is positive. Therefore:

Sin(2x) = 2sinxcosx = 2 * 1/9 * √80/81 = 2√80/729,Cos(2x) = cos²x - sin²x = (80/81 - 1/81) = 79/81,Tan(2x) = sin(2x)/cos(2x)= (2√80/729) / (79/81) = 162√80/56831

Learn more about Trigonometry here:

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