The point P = (x, 1/3) lies on the unit circle shown below. What is the value of x in simplest form?

Answers

Answer 1

Answer: - 2squart2/3

Step-by-step explanation:

x^ 2 + y ^ 2 = 1

x ^ 2 + (1/3) ^ 2 = 1 ^ 2

Answer 2

The value of x in simplest form is 2√2/3 units.

What is a circle equation?

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

Given that, the point P= (x, 1/3) lies on the unit circle

x²+ y²= 1

x²+ (1/3)²= 1²

x²+1/9=1

x²=1-1/9

x=√8/9

x=2√2/3

Therefore, the value of x in simplest form is 2√2/3 units.

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The Point P = (x, 1/3) Lies On The Unit Circle Shown Below. What Is The Value Of X In Simplest Form?

Related Questions

find two numbers whose difference is 164 and whose product is a minimum.

Answers

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Simplify this expression fully: -2(a+3) - (7-a)​

Answers

Answer:

-a-13

Step-by-step explanation:

-2 * (a+3)

-2a - 6 -7 + a

-2a+a = -a

-6-7= -13

-a - 13

Answer:

-a-13

Step-by-step explanation:

Simplify this expression fully: -2(a+3) - (7-a)

A beam of light bends when it passes from air into water, and then bends even more when it passes from water into glass. What can you conclude from this fact?

Select one:

a.
air is denser than water


b.
water is denser than glass


c.
air is denser than glass


d.
glass is denser than water

Answers

Glass is denser than water. The correct answer is option d

What is Refraction ?

Refraction is the bending of a light ray as it crosses the boundary between two media of different densities, thus causing a change in its direction.

Given that a  beam of light bends when it passes from air into water, and then bends even more when it passes from water into glass.

Light rays do bend when they cross from less dense medium to a denser medium and vice versa.

We can therefore conclude from this fact that glass is denser than water.

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1. If 36 donuts cost $15.00, what would be the cost for one 12 donuts?

Answers

Answer: $5 their are 36 donuts and 12 x 3 is 36 and 5 x 3 is 15

The equation of a line is y=4/3x + 4 . Is the point (6, 13) on the line? [ Select ] Is the point (9, 16) on the line?

Answers

The point (9, 16) is on the line.

Given,

The equation of the line = y = 4/3x + 4

We have to find whether the given points are on this line or not.

For that substitute the points into the equation.

That is,

Point (6, 13)

x = 6 and y = 13

Equation;

y = 4/3x + 4

13 = 4/3 x 6 + 4

13 = 8 + 4

13 ≠ 12

That is, the point (6, 13) is not in the line.

Next,

Point (9, 16)

x = 9 and y = 16

Equation;

y = 4/3x + 4

16 = 4/3 x 9 + 4

16 = 12 + 4

16 = 16

Therefore, the point  (9, 16) is in the line.

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can someone help with this?

can someone help with this?

Answers

Answer:

8 km

Step-by-step explanation:

To find the side square the hypotenuse and subtract it with the square of leg b.

289-225=64

square root of 64 is 8. Side a is 8

What is the value of 13 squared?​

Answers

Answer: 169

Step-by-step explanation:

13 squared = 13*13

Simply plug this into a calculator to get 169

Hope it helps <3

Answer:

169

Step-by-step explanation:

the answer is 169 because u will square the 13

ANSWER QUICK PLEASEEEEEEEEEEEEE!!!! I HAVE NO TIME!!!

Alex bought a new car for his daughter. He knows the value of the car will decrease at a constant rate. After 3 years, the value of the car is $15,000. After 5 years, the value of the car of $11,000. Write and solve a linear equation to find the value of the car after 8 years. (Drop down and select)

y -
=
(x -
)

The value of the car after 8 years will be
.

Answers

The value of the car after 8 years will be y =  $10,000.

What is linear equation ?

linear equation is an algebraic equation of the form y=mx+c .

. the two data points to a linear equation in slope-intercept form:

slope = (11000 - 15000) / (5 - 3) = -2000 / 2 = -1000

Using the point-slope form of a linear equation with point (3, 15000):

y - 15000 = -1000(x - 3)

y - 15000 = -1000x + 3000

y = -1000x + 18000

Now  x = 8 to find the value of the car after 8 years:

y = -1000(8) + 18000 = $10,000

Therefore, the value of the car after 8 years will be $10,000.

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When a warehouse opened, it had an inventory of 6,000 items. of Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?

Answers

For the given condition for a warehouse to be opened , with an inventory of 6,000 items and every month increased by 3,000 the representation on the graph of the appropriate scales and units is on the graph1 having :

x -axis representing : Items in Inventory(Thousands)

y-axis representing : Number of Months since Opening

As given in the question,

Number of inventory in the warehouse at the time of opening = 6,000

Number of inventory increases in the warehouse every month =3000

Let us consider number of month by 'y'

And 'x' represents the number of inventory

x = 6000 +3000y

Appropriate scales and units present on the attached graph as per the given situation is given by:

x -axis representing : Items in Inventory(Thousands)

y-axis representing : Number of Months since Opening

Which is shown on the graph 1.

Therefore, For the given condition for a warehouse to be opened , with an inventory of 6,000 items and every month increased by 3,000 the representation on the graph of the appropriate scales and units is on the graph1 having :

x -axis representing : Items in Inventory(Thousands)

y-axis representing : Number of Months since Opening

The complete question is :

When a warehouse opened, it had an inventory of 6,000 items. of Every month, the inventory increases by 3,000 items.

Which graph has the most appropriate scales and units for this situation?

Graphs are attached.

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When a warehouse opened, it had an inventory of 6,000 items. of Every month, the inventory increases
When a warehouse opened, it had an inventory of 6,000 items. of Every month, the inventory increases

5(y+2)=4(x-3) Can someone help me find the slope of this line pls

Answers

Answer:

4/5 is the slope.

Solve for X. Not drawn to scale

Solve for X. Not drawn to scale

Answers

Answer:

\(x=4.02\)

Step-by-step explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.

\(sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\\)

Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.

In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.

\(tan(\theta)=\frac{opposite}{adjacent}\)

Substitute,

\(tan(20)=\frac{9}{x}\)

Manipulate the equation such that it is solved for (x),

\(x=\frac{9}{tan(20)}\)

Solve,

\(x=4.02\)

a date is picked at random on the calendar for April. what is the probability that the date chosen will be a two-digit odd number? Brainly

Answers

Answer:

p = 1/3

Step-by-step explanation:

Total days in April = 30

Two digit odd days = 10

p =10/30

p = 1/3

Answer:

if the odd number is 2 then it will be 2/4 that would be the probability.

I need help on this lol​

I need help on this lol

Answers

Answer:

-62

Step-by-step explanation:

180-w+49(angles  on  a straight line=180)

angles on a triangle=180

Hence,

         180-w+49+w+17+w-4=180

collect the like terms

180+49+17-4+w+w-w=180

242+w=180

Take 180 to the other side and also w

242-180=-w

62=-w    same as w=-62

The probability that mary picks a yellow marble out of a bag of marbles is 0.35. there are 500 marbles in the bag. work out how many yellow marbles there are.

Answers

Answer:

175

Step-by-step explanation:

500*.35

Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer Answer Answer Answer Answer Answer Not applicable y=-2x Answer Answer Answer Answer Answer Answer Answer multiplied by Answer y=(3)(2x)

Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer

Answers

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a \(y = 2^x\)

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. \(y = -2^x\)

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. \(y = (3)(2^x)\)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Imagine some DEQ: y'=f(x,y), which is not given in this exercise.
Use Euler integration to determine the next values of x and y, given the current values: x=2, y=8 and y'=9. The step size is delta_X= 5. 2 answers
Refer to the LT table. f(t)=6. Determine tNum,a,b and n. 4 answers

Answers

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

What are the updated values of x and y using Euler integration?

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

Y= 50w+100

theres your inequality

Step-by-step explanation:

Answer:

You get 100 points for playing the game, and 50 points per each seven letter word you are able to make.

Let "seven-letter" = w

50 points per each seven letter = 50w

100 points for playing the game = + 100

50w + 100 ≥ 18000 is your inequality.

hope this helps

Orville is thinking of a number. The product of the number and 39 is 156. Find Orville's number. 46​

Answers

Answer:

I believe the multiplied number would be 4.

39 × 4 = 156

The number is = 4

Step-by-step explanation:

I'm not sure what is 46 at the end of the question.

The sum of two numbers is 57 and the difference is 5. What are the numbers?
larger number:
smaller number:

Answers

Answer:

25+22

Step-by-step explanation:

When you subtract 27 to 22

Answer:

31 and 26

Step-by-step explanation:

31 + 26 = 57

31 - 26 = 5

Therefore, your answer is 31 and 26

At an hourly rate of $10.25 per hour, what would your gross pay be for 38 hours of work?

Answers

Answer:

$389.50

Step-by-step explanation:

$10.25x38=$389.50 gross pay

What is the value of the expression below if a=5, b=18, and c=8?


169 - a2

______ +24

b - c


Please help! I'm in a hurry

Answers

The value of the expression 169 - a² + 24b - c is 568.

How to calculate the value?

From the information, the expression that's given is 169 - a² + 24b - c.

In this case, the values of the variables have been given and you just need to slot them into the expression. This will be:

= 169 - a² + 24b - c.

= 169 - 5² + (24 × 18) - 8

= 169 - 25 + 432 - 8

= 568

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"Hot Pizza" is offering a 20% discount on all its pizzas.
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?

Answers

Answer:

£6.72

Step-by-step explanation:

10% of 5.60=0.56

0.56×2=1.12

5.60+1.12=£6.72

PLZ HELP IM BEING TIMED!!!

PLZ HELP IM BEING TIMED!!!

Answers

Answer:

7√(x) = 14

Step-by-step explanation:

What is the equation of the line that passes through the point (-2,0) and has a slope of -2

Answers

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

Answer:

y=mx+c

we will find c

0=(-2)(-2)+c

c=-4

y=-2x+(-4)

y=-2x-4

2x+y+4=0

Which of these is a lower unit price than 8 for $15?
10 for $20
5 for $9
3 for $7
12 for $25
I NEED HELP STAT I ONY HAVE 10 MINUTES LEFT

Answers

Answer:

5 for $9

Step-by-step explanation:

help please? i can't do it​

help please? i can't do it

Answers

Answer: y=2x-1

Step-by-step explanation:

i think that's correct...

2 is the slope

-1 is the y-intercept

Find out if ur smart (and to help me please)

Find out if ur smart (and to help me please)

Answers

Answer:

A. 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

2/12 = .1667

6/x = .1667

mulriplt both sides by x

6 = .1667x

divide by .1667

36 = x

What is the perimeter of a rectangle with a length of
9
x

4
and a width of
5
x
+
2
?

Answers

Answer:

6

Step-by-step explanation:

The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is given as,

L = 9x - 4
W = 5x + 2

Then the perimeter of the rectangle is given as,

P = 2(L + W)

P = 2(9x - 4 + 5x + 2)

P = 2(14x - 2)

P = 18x - 4

The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.

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Tim has two spinners, spinner A and spinner B.Each spinner can only land on red or blue. The probability that spinner A will land on is 0.5 and the pribability that spinner B will land on blie is 0.6. Tim spins spinner A once and he spins spinner B once. He does this for a number of times.

The number of times both spinners land on red is 84. Work out an estimate for the number of spinners land on blue.

Answers

Is this out of workbook

Answer:

the answer is 56.

Step by step explanation:

0.5 x 0.4 = 0.20

0.5 x 0.6 = 0.30

84/x = 0.30

84/0.30 = x

280 = x

0.2 x 280 = 56

whats is the answer to
5.8/3t +6=3.8t+4.32

Answers

Answer:

t=0.9

Step-by-step explanation:

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