Answers
Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
to find the slope of linear line, you need two points. It does not matter which pints you use. I am going to use (0,5) and (3,3) The slope is the change in y over the change is x. Our y values are 3 and 5. Our x values are 3 and 0
[tex]\frac{3-5}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex]
Related Questions
A 2-pound bag of candy costs $6.04. What is the unit price?
per pound
Answers
Answer:
it would be $3.02
Step-by-step explanation:
you pretty much do $6.04/2 Ib
therefore, your answer would be $3.02
Answer:
Step-by-step explanation:
6.04 divded by 2= 3.02 per pound
Macmillan Learning
Holly is deciding between 2 yoga studios. If she chooses Life Studio, she will pay a $60 initial sign-up fee and $30 each
month. If she chooses Yoga Mind, she will pay $40 each month and no initial sign-up fee. If Holly thinks she will do yoga
for 6 months, which studio should she join to pay less money?
She will pay the same amount at both.
Life Studio
Yoga Mind
Answers
Answer:
She will pay the same amount at both
Step-by-step explanation:
For Life Studio,
the initial sign up fee + $30 each month
= $30 = 30 × 6 = $180
Hence, $60 + $180 = $240
For Yoga Mind,
$40 each month for 6 months
= $40 × 6
$40 × 6= $240
Therefore, she will pay the same amount at both
A company orders 20 boxed lunches from a deli for $234.00. If each boxed lunch
costs the same amount, how much do 16 boxed lunches cost?
Answers
16 boxed lunch cost $187.2.
Given that a company orders 20 boxed lunches from a deli for $234.00.
Each boxed lunch costs the same amount.
20 boxed lunches from a deli for $234
1 boxed lunches from a deli for $234/20 = $11.7
Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2
To know more about Cost refer to:
https://brainly.com/question/25109150
#SPJ9
NO LINKS!! Use the diagram below, classify the angle pairs as corresponding, alternate interior, consecutive interior, or none
Answers
B) angle 2 and 11 are alternate exterior angles
C) angle 12 and 16 are corresponding angles
D) angle 8 and 13 are alternate interior angles
E) angle 11 and 15 are corresponding angles
F) angle 7 and 10 are equal to each other but have no relationship
G) angle 1 and 14 are alternate exterior angles
H) angle 12 and 15 are same side interior angles
I) angle 6 and 7 have no relationship
J) angle 1 and 3 are corresponding angles
K) angle 14 and 16 are corresponding angles
L) angle 6 and 15 are alternate exterior angles
M) angle 5 and 10 are alternate interior angles
N) angle 8 and 14 are same side interior angles
Answer:
a) Consecutive interior angles.
b) Alternate exterior angles.
c) Corresponding angles.
d) Alternate interior angles.
e) Corresponding angles.
f) None.
g) Alternate exterior angles.
h) Consecutive interior angles.
i) None.
j) Corresponding angles.
k) Corresponding angles.
l) Alternate exterior angles.
m) Alternate interior angles.
n) Consecutive interior angles.
Step-by-step explanation:
Transversal
A line that crosses two other lines in the same plane at two distinct points.
Corresponding angles
A pair of angles that are in the same position relative to both lines crossed by the transversal.
Alternate interior angles
A pair of angles on the inner side of the two lines that the transversal crosses, but on opposite sides of the transversal.
Alternate exterior angles
A pair of angles on the outer side of the two lines that the transversal crosses, but on opposite sides of the transversal.
Consecutive interior angles
A pair of angles on the inner side of the two lines that the transversal crosses, and are on the same side of the transversal.
a) Lines p and q are crossed by transversal line s.
Therefore, ∠4 and ∠7 are consecutive interior angles as they are on the inner side of lines p and q, and are on the same side of the transversal s.
b) Lines r and s are crossed by transversal line p.
Therefore, ∠2 and ∠11 are alternate exterior angles as they are on the outer side of lines r and s, but on opposite sides of the transversal p.
c) Lines p and q are crossed by transversal line s.
Therefore, ∠12 and ∠16 are corresponding angles as they are in the same position relative to lines p and q crossed by the transversal s.
d) Lines r and s are crossed by transversal line q.
Therefore, ∠8 and ∠13 are alternate interior angles as they are on the inner side of lines r and s, but on opposite sides of the transversal q.
e) Lines p and q are crossed by transversal line s.
Therefore, ∠11 and ∠15 are corresponding angles as they are in the same position relative to lines p and q crossed by the transversal s.
f) ∠7 and ∠10 have no relationship.
g) Lines p and q are crossed by transversal line r.
Therefore, ∠1 and ∠14 are alternate exterior angles as they are on the outer side of lines p and q, but on opposite sides of the transversal r.
h) Lines p and q are crossed by transversal line s.
Therefore, ∠12 and ∠15 are consecutive interior angles as they are on the inner side of lines p and q, and are on the same side of the transversal s.
i) ∠6 and ∠7 have no relationship
j) Lines r and s are crossed by transversal line p.
Therefore, ∠1 and ∠3 are corresponding angles as they are in the same position relative to lines r and s crossed by the transversal p.
k) Lines r and s are crossed by transversal line q.
Therefore, ∠14 and ∠16 are corresponding angles as they are in the same position relative to lines r and s crossed by the transversal q.
l) Lines r and s are crossed by transversal line q.
Therefore, ∠6 and ∠15 are alternate exterior angles as they are on the outer side of lines r and s, but on opposite sides of the transversal q.
m) Lines p and q are crossed by transversal line r
Therefore, ∠5 and ∠10 are alternate interior angles as they are on the inner side of lines p and q, but on opposite sides of the transversal r.
n) Lines r and s are crossed by transversal line q.
Therefore, ∠8 and ∠14 are consecutive interior angles as they are on the inner side of lines r and s, and are on the same side of the transversal q.
Please help me! Christian, Freddy, and Skyler are all drinking orange juice from the same-size cartons in the cafeteria. Christian's carton is 3/7 packed. Freddy's carton is 3/10 complete. Kevin's carton is 3/4 full. Who has the least milk left in their carton?
Answers
Answer: Freddy
Step-by-step explanation:
Choose a common denominator for all the fractions. Let's use 140.
Christian: 3/7 = 60/140
Freddy: 3/10 = 42/140
Skyler: 3/4 = 105/140
The least value is 42/140
identify the slope. pls help asap
Answers
Answer:
Step-by-step explanation:
Slope: 6/3 = -2
since the line is going from left to right, it is a negative slope
Answer:
-7/3 or 2.3333333333333
Step-by-step explanation:
X= -1 – -4 = 3
Y= -4 – 3 = -7
y = -2.3333333333333x – 6.3333333333333
or
y = -7/3 x - 19/3
So when y= -6.33 that will mean x= -2.71
The sum of three numbers is -3. If the second number is subtracted from the sum of the first and third numbers, the result is -3. If the third number is subtracted from the sum of the first and second numbers, the result is -5. Find the three numbers.
Answers
Answer:
The three numbers are -4, 0, and 1.
The sum of three numbers is -3: -4 + 0 + 1 = -3
If the second number is subtracted from the sum of the first and third numbers, the result is -3: (-4 + 1) - 0 = -3
If the third number is subtracted from the sum of the first and second numbers, the result is -5: (-4 + 0) - 1 = -5
Step-by-step explanation:
x --> first number
y --> second number
z --> third number
x + y + z = -3
(x + z) - y = -3
(x + y) - z = -5
x = -3 - y - z
(-3 - y - z + z) - y = -3
-3 - y - y = -3
-2y = 0
y = 0
(-3 - y - z + y) - z = -5
-3 - z - z = -5
-3 - 2z = -5
-2z = -2
z = 1
x = -3 - 0 - 1
x = -4
Annie's current earnings are shown in the table.
She was offered a new job that will pay $7.25 per hour. Assume
that her earnings vary directly with the number of hours worked.
Which job pays more an hour?
Answers
Answer:
Annie's new job pays more an hour.
Step-by-step explanation:
They tell us that her new job pays $7.25 per hour. So to determine which job pays her more, we need to find how much she earns in her current job.
There are a few ways to find this (none of them are hard.) But this is the easiest way in my opinion.
The chart tells you that Annie earns $13 in 2 hours. We need to find how much she earns in 1 hour. All you need to do is divide $13 by two.
13/2 = 6.5
6.5 = $6.50
If her current job pays her $6.50 an hour and her new job pays $7.25 an hour, she should consider higher paying jobs.
But, yes, the new job pays her more an hour.
In an economy, the price index in 2006 was 100 and the real gross domestic product (GDP) was $1,000. In 2010, the price index was 110 and the nominal GDP was $2,200. Based on that information, which of the
following can be inferred about the economy's nominal GDP in 2006 and real GDP in 2010?
A. Nominal GDP in 2006 = $2,000; Real GDP in 2010 = $1,000
B. Nominal GDP in 2006 $1,000, Real GDP in 2010 = $2,000
C. Nominal GDP in 2006= $1,100, Real GDP in 2010 = $2,420
D. Nominal GDP in 2006 $1,000, Real GDP in 2010 = $2,420
E. Nominal GDP in 2006 = $1,100; Real GDP in 2010 = $2,200
Please show your work.
Answers
The economy's nominal GDP in 2006 and real GDP in 2010 is option B) Nominal GDP in 2006 $1,000, Real GDP in 2010 = $2,000.
What does GDP Price Index mean?
A metric for gauging price inflation for American-made goods and services. The prices of American goods and services exported to other nations are included in the gross domestic product price index. This index excludes the costs Americans pay for imports.A country's gross domestic product that has been accounted for inflation is known as real GDP. Compare this to nominal GDP, which calculates GDP using today's prices without taking inflation into account.Nominal GDP in 2006=$1,000;
Real GDP in 2010=$2,000
Price index = (nominal GDP/real GDP) ×100
thus, nominal GDP in 2006=(price index × real GDP)/100
= (100×$1,000)/100
=$1,000
Real GDP in 2010= (nominal GDP/price index) ×100
= ($2,200/110) ×100
=$2,000.
Hence, the economy's nominal GDP in 2006 and real GDP in 2010 is option B) Nominal GDP in 2006 $1,000, Real GDP in 2010 = $2,000.
To know more about Price Index check the below link:
https://brainly.com/question/1889164
#SPJ1
what's the constant of proportionality: the table represent the linear relationship between the number of seconds a paper airplane is in the sky and the total distance it will fly
PLEASE HURRY!!!!!!!!!!!!!!!!!!! i need to complete this it im studying it for my test tomorrow
Answers
The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
What is constant of proportionality?When two or more parameters are directly or indirectly proportional to one another, their relationship is expressed as a = kb or a = k/b, where k indicates the nature of the relationship between the two variables. This k is referred to as the proportionality constant.
For example, the number of apples in a crop is proportional to the number of trees in an orchard, with the ratio of proportionality being the average number of apples per tree.
This can be illustrated as:
Let's say y = 4
Let's say x = 2
y = kx
4 = 2k
Divide
k = 4/2
k = 2
The constant is 2.
Note that an overview was given as the information is incomplete.
Learn more about constant on:
https://brainly.com/question/924976
#SPJ1
7. Select all of the numbers that are multiples of 12.
22
26
36
42
48
60
Answers
Answer:
36
48
60
Reason:
Since it is multiples of twelve, we can find out and multiply
12*3= 36
12*4= 48
12*5= 60
I hope this helps!
Answer: 36, 48, and 60.
Step-by-step explanation:
36, 48, and 60 are the only numbers that can be divided by 12 into a whole number.
36/12 = 3
48/12 = 4
60/12 = 5
[tex]\sqrt{3p^{9}q^{7} r^{6}\\/ 16x^{6}y^{12}[/tex]
Answers
Using Laws of exponents, the solution to the expression √(3p⁹q⁷r⁶)/(16x⁶y¹²) is; (p⁴q³r³/(x³y⁶))√(3pq/16)
How to use laws of exponents?The different laws of exponents are;
1) Product With the Same Bases; a^m × a^n = a^(m+n)
where;
m and n are real numbers.
2) Quotient with Same Bases;
a^m/a^n = a^(m-n)
where;
a is a non-zero term and m and n are integers.
3) Power Raised to a Power; (a^m)^n = a^(mn)
where;
a is a non-zero term and m and n are integers.
4) Product to a Power; a^n * b^n = (ab)^(n)
where;
a is a non-zero term and n is the integer.
5) Quotient to a Power; It states that the fraction of two different bases with the same power is represented as; a^n/b^n = (a/b)^n
where;
a and b are non-zero terms and n is an integer.
6) Zero Power; When the power of any integer is zero, then it means that its' value is equal to 1, such that;
a⁰ = 1
where;
a is any non-zero term.
7) Negative Exponent Rule; a^(-m) = 1/(a^m)
We are given the expression as;
√(3p⁹q⁷r⁶)/(16x⁶y¹²)
Applying the laws of exponents, we will have;
√(3p⁹q⁷r⁶)/(16x⁶y¹²) = (p⁴q³r³/(x³y⁶))√(3pq/16)
Read more about Laws of exponents at; https://brainly.com/question/11761858
#SPJ1
What is the
relationship among the unit rate, slope, and constant
rate of change of a proportional linear relationship?
Answers
The relation among unit rate, slope and constant rate of change of a proportional linear relationship is y = kx.
What is unit rate?
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality. If the rate of change is yx, then so is the constant of proportionality.
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.
The slope is defined as y = mx +b
b =1, m=k
y =k x.
Here, k is constant rate of change.
To know more about relation, visit:
https://brainly.com/question/3154842
#SPJ1
-9x+2y =24
x = 10-4y
Answers
Answer: x = -2, y = 3
Step-by-step explanation:
Given that,
-9x+2y = 24..................................(i)
x = 10-4y.......................................(ii)
From equation (i)
-9(10-4y) + 2y = 24 [as x = 10-4y]
=> -90 +36y + 2y = 24
=> 38y = 90 + 24
=> 38y = 114
=> y = 114/38
Therefore, y = 3
Again,
x = 10 - 4(3) [as y = 3]
=> x = 10-12
Therefore, x = -2
Here, x = -2 and y = 3
Robert bought a used car for $10,332 with an added sales tax of 2.5%. What was the
original price of the car?
A $11,080
B. $10,080
C. $20,800
D. $15,416
Answers
If Robert bought a used car for $10,332 with an added sales tax of 2.5%. Then the original price of the car would be around $10,080.
Option (B) is correct.
What is a percentage?
A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is the one-hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.
Robert bought a used car for $10,332 with an added sales tax of 2.5%.
so the additional amount would be = 10,332 * 2.5%
= 10332 * 0.025
= $258.3
So the original price of the car would be = 10332 - 258.3
≈ $10,080.
Hence, If Robert bought a used car for $10,332 with an added sales tax of 2.5%. Then the original price of the car would be around $10,080.
To learn more about the percentages, visit:
https://brainly.com/question/24877689
#SPJ1
This is a safe space please answer how you are feeling today and why!!
Answers
Answer:
feeling good
Step-by-step explanation:
I am just happy
A bag has 2 red, 3 green, and 6 orange balls. If a ball is randomly selected from the bag, what is the theoretical probability
that it is the color specified in parts (a) through (d).
Answers
Using theoretical probability, the probability of selecting green ball is 3/11, not selecting green ball is 8/11, selecting orange ball is 6/11 and not selecting orange ball is 5/11.
In the given question,
A bag has 2 red, 3 green, and 6 orange balls.
So total number of balls = 2+3+6 = 11
We have to find the theoretical probability.
(a) We have to find the theoretical probability of selecting green ball.
P(G) = Total number of green balls/Total number of balls
P(G) = 3/11
Hence, the probability of selecting green ball is 3/11.
(b) Now we have to find the theoretical probability of not selecting green ball.
Except green ball there is having red and orange i.e.
Total remaining balls except green = 2+6 = 8
P(G) = Total number of balls except green balls/Total number of balls
P(G) = 8/11
Hence, the probability of not selecting green ball is 8/11.
(c) Now we have to find the theoretical probability of selecting orange ball.
P(G) = Total number of orange balls/Total number of balls
P(G) = 6/11
Hence, the probability of selecting green ball is 6/11.
(d) Now we have to find the theoretical probability of not selecting orange ball.
Except orange ball there is having red and green balls i.e.
Total remaining balls except orange = 2+3 = 5
P(G) = Total number of balls except orange balls/Total number of balls
P(G) = 5/11
Hence, the probability of not selecting orange ball is 5/11.
To learn more about probability link is here
brainly.com/question/29381779
#SPJ1
The doctor orders 100 units of a medication to administer daily. The vial is labeled 50 units/mL. How many mL will be administered if the patient stays in the hospital for a week?
Answers
350mL will be administered in a week.
the equation of the trend line is y= 0.36x + 12.6 use the equation of the trend line to predict the wind chill for a wind speed of 4 mi/h. Round your answer to the nearest degree. The wind chill at 4 mi/h is?? PLease help!!!! need this answer in less than 10 min!
Answers
The prediction of the wind chill for the wind speed 4 mi/h is 14 degrees
How to predict the wind chill for the wind speed?Here, we have the following parameters:
Equation of the trend line: y = 0.36x + 12.6
Where
x = Wind speed
y = Wind chill
Also, we have
x = 4 mi/h i.e. the wind speed
Substitute x = 4 in the equation y = 0.36x + 12.6
So, we have
y = 0.36 x 4 + 12.6
Evaluate the equation
y = 14.04
Approximate
y = 14
Hence, the wind chill is 14 degrees
Read more about trend lines at
https://brainly.com/question/22601112
#SPJ1
Dave and LaVontae are saving money. Dave has $10, and LaVontae has $5. Write an
equation expressing the relationship between the amount that LaVontae has, x, and
the amount that Dave has, y.
Answers
Which of the following expressions has the greatest value
Answers
Answer:
2⁵ that is my answer for the question
Answer: 2^5
Step-by-step explanation:
3^3 = 27
1^10 = 1
2^5 = 32
5^2 = 25
This square root equation has 2 solutions. What is the extraneous solution?
√x+12 −6=x
Enter your answer in the box.
Answers
x = - 8 is not a root of √(x + 12) - 6 = x, since it is an extraneous solution.
How to find the extraneous solution of a radical equation
In this question we have a radical equation that offer two possible roots. A root is an extraneous solutions when it brings out an absurd (i.e. 1 = 4) when the expression is evaluated. First, write the radical equation:
√(x + 12) - 6 = x
Second, use algebra properties to find the possible roots of the radical equation:
√(x + 12) - 6 = x
√(x + 12) = x + 6
x + 12 = x² + 12 · x + 36
x² + 11 · x + 24 = 0
(x + 3) · (x + 8) = 0
x = - 3 or x = - 8
Third, evaluate the radical equation at each root:
√(- 3 + 12) - 6 = - 3
√9 - 6 = - 3
3 - 6 = - 3
- 3 = - 3 (TRUE)
√(- 8 + 12) - 6 = - 8
√4 - 6 = - 8
2 - 6 = - 8
- 4 = - 8 (FALSE)
x = - 8 is an extraneous solution.
To learn more on extraneous solutions: https://brainly.com/question/28362830
#SPJ1
Write equations for the horizontal and vertical lines passing through the point (2, -6).
horizontal line: 0
vertical line:
Continue
0
00
X
0=0
3
Answers
The equation of the horizontal line passing through the point (2, -6) is :
y = -6
and the equation of the vertical line passing through the point (2, -6):
x = 2
We need to write equations for the horizontal and vertical lines passing through the point (2, -6)
For a vertical line the value of x will never change. This will be true for any value of y.
So, the equation for a vertical line passing through this point is:
x = 2
Similarly, for a horizontal line the value of y will never change. This is true for any value of x.
So, the equation for a horizontal line passing through this point is:
y = -6
Therefore, the equation of the horizontal line passing through the point (2, -6) is y = -6
and the equation of the vertical line passing through the point (2, -6) is x = 2
Learn more about equation of line here:
https://brainly.com/question/21511618
#SPJ1
Nate and Gavin are playing a video game. Gavin has scored eleven more than twice the number of points Nate has. If they scored 692 points altogether, have many points has Gavin scored?
Answers
Answer: gavin scored 465 points
Step-by-step explanation:
Does the line for y = 6 have a negative slope ?
Answers
No, the slope of a horizontal line y=6 is, zero not negative.
What is a Slope?
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘m’.
Slope Formula
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope, m = Change in y-coordinates/Change in x-coordinates = Δy/Δx
m = (y2 – y1)/(x2 – x1)
In the given equation of line y=6 .
The line crosses the y-axis at 6, as the line is always at that value. As it is a horizontal line, the slope is zero.
The equation y = 6 means for each and every value of x, y will be equal to 6.
This is the definition of a horizontal line.
By definition, the slope of a horizontal line is m = 0
When x = 0 then y = 6
Therefore, the y-intercept is: (0, 6).
Hence , the the slope of a horizontal line , m = 0.
To know more about slope here.
https://brainly.com/question/10064106
#SPJ1
The function f(x) is graphed below. How many points on the graph
represent a relative extreme value?
Answers
point a and point e are the two points representing extreme points on graph
Solve the system of equations by graphing
u=v
4u=2v-12
Answers
By using the graphing method, a solution to the given system of equations is equal to -6 and -6.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Next, we would simplify the equation as follows:
4u = 2v - 12
Dividing both sides of the equation by 4, we have:
4u/4 = (2v - 12)/4
u = v/2 - 3
By critically observing the graph of this system of equations, we can logically deduce that the point of intersection is at (-6, -6).
Read more on graphs here: brainly.com/question/4546414
#SPJ1
BIG IDEAS MATH
# 30 i
A coordinate plane is superimposed on a property map. Each unit in the coordinate plane represents 1 foot. The
location of a wellhead on the property is given by the point (12, 6). How close is the wellhead to a property line
modeled by the line y = x - 14? If necessary, round your answer to the nearest tenth place.
feet
Answers
The distance between point (12,6) and the line y = x - 14 is given as follows:
5.6 feet.
How to obtain the distance of a point to a line?The standard equation of a line is given by the rule presented as follows:
ax + by + c = 0.
The coordinates of the point which we want to find the distance from the line are given as follows:
(x0,y0).
The equation that obtains the shortest distance of the point (x0, y0) to the line ax + by + c = 0 is presented as follows:
[tex]D = \frac{|a(x_0) + b(y_0) + c|}{\sqrt{a^2+b^2}}[/tex]
The line for this problem is given by the rule presented as follows:
y = x - 14.
In standard notation, it is defined by the rule presented as follows:
x - y - 14 = 0.
Hence the coefficients are presented as follows:
a = 1, b = -1, c = -14.
The point has the coordinates given as follows:
(12,6).
Hence:
x0 = 12, y0 = 6.
Thus the distance from the point to the line is obtained as follows:
[tex]D = \frac{|a(x_0) + b(y_0) + c|}{\sqrt{a^2+b^2}}[/tex]
D = |1(12) -1(6) - 14|/sqrt(1²+(-1)).
D = 8/sqrt(2)
D = 5.6 feet.
More can be learned about the distance between a line and a point at brainly.com/question/29010851
#SPJ1
What is -5 (x-2) + 6x = -7 +4
Answers
Answer:
Step-by-step explanation:
x=7/11
Can someone help me with this question please like explain it to me ?
Answers
Using the trigonometry relation, the value of sin2x=4√2/9, cos2x=7/9 and tan2x=4√2/7.
In the given question, we have to find the value of sin(2x), cos(2x) and tan(2x).
The given value of six=1/3, x in quadrant first.
We firstly finding the value of cosx.
cosx = √1-(sinx)^2
Now putting the value of sinx
cosx = √1-(1/3)^2
cosx = √1 -1/9
cosx = √(9-1)/9
cosx = √8/9
cosx = 2√2/3
We know that;
sin2x=2sinxcosx
sin2x=2* 1/3 * 2√2/3
sin2x=4√2/9
Now finding the value of cos2x
We know that;
cos2x=1-2(sinx)^2
cos2x=1-2(1/3)^2
cos2x=1 -2/9
cos2x=(9-2)/9
cos2x=7/9
Now finding the value of tan2x
As we know that
tan2x=sin2x/cos2x
tan2x=(4√2/9)/(7/9)
tan2x=4√2/7
To learn more about trigonometry relation link is here
brainly.com/question/29036290
#SPJ1