given the vertex (2,9) and the foci (5,9), what is the equation of the directrix

so this is a

You also will not know precisely how many sentences will appear in the random paragraph. But some piano roll artists made a name with pieces that could not possibly be played by an precise individual. Most of his research deal with difficult meters and polyrhythms. Many include distinct voices enjoying the identical line at different tempos, usually in odd ratios. On top of this, most of the traces themselves tend to be highly dissonant and exhausting to actually play. Someday we might come nose to nose with pure house, that could presumably be a nothingness waiting to be filled.

Answer: 6/25

Step-by-step explanation:

Number of vowels = 8

Number of consonants = 12

Total number of tiles in bag = (number of vowels + number of consonants)

Total = (12 + 8) = 20

Probability = (required outcomes / total possible outcome)

Probability of choosing a consonants = (number of consonants / total number of word tiles)

P( consonants) = 12 / 20 = 3/5

Since it is with replacement, total number of word tiles will still be 20

Probability of choosing a vowel = (number of vowels / total number of word tiles)

P( vowels) = 8 / 20 = 2/5

Therefore,

P(constant then vowel) = 3/5 * 2/5 = 6/25

Answer:

m2KJL = 54°

Step-by-step explanation:

In AJKL,

MAJKL = 72°

JK = KL

Since, two sides of AJKL are congruent, triangle is an isosceles triangle.

By the property of an isosceles triangle,

Opposite angles of the congruent sides of an isosceles triangle are equal in measure.

Therefore, J = ZL

By the property of a triangle,

Sum of all interior angles of a triangle is 180°.

m2J + m2K + m2L = 180°

mzJ + 72° + mzJ = 180° [Since, mzJ = mzL]

2mzJ = 180° - 72°

mzJ = 54°

Therefore, mZKJL or mzJ is 54°.

The final equation of the circle is: (x - 4)²+(y - 3)² =8.

The set of all points in a plane that are equally spaced from a fixed point known as the centre is described by the equation of a circle.

It is usually written in the form (x-h)² + (y-k)² = r², where (h, k) represents the center and r represents the radius of the circle.

To find the equation of the circle, we need to find the center of the circle and its radius using the given endpoints of the diameter.

The circle's centre corresponds to the diameter PQ's midpoint.Taking the average of the x-coordinates and the average of the y-coordinates will yield the midpoint's coordinates:

x-coordinate of midpoint = (6 + 2)/2 = 4

y-coordinate of midpoint = (5 + 1)/2 = 3

(4, 3) is the center of circle.

The radius of circle is half the distance between the endpoints of      diameter:

r = 1/2 × √((6 - 2)² + (5 - 1)²) = 1/2 × √(16 + 16) = 1/2 × √(2) = 2√(2)

Therefore, the equation of the circle with center (4, 3) and radius 2√(2) is:

(x - 4)² + (y - 3)² = (2×(2))²

Simplifying and expanding  right-hand side:

(x - 4)² + (y - 3)² = 8

To know more about midpoint visit:

https://brainly.com/question/17104055

#SPJ1

The area of one lateral face of the triangular prism could be 20 ft².

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Since the base of the prism is triangular so there will be three lateral faces.

Dimensions of rectangular lateral faces are:

1)8 feet by 2.5 feet

2)8 feet by 6 feet

3) 8 feet by 6. 5 feet

Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²

Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²

Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²

Therefore, the area of one lateral face of the triangular prism could be 20 ft².

To get more about prism visit:

https://brainly.com/question/23963432

By using differential equations' concept, we get that there is no sugar in the beginning.

A differential equation is an equation that connects the derivatives of one or more unknown functions.

Given:

Pure water = 2840 litres

sugar = 0.01kg per liter

Rate of sugar entering the tank = 4liter/min

New solution drains out at the rate = 4 litre/min

To find: sugar in the beginning.

Finding:

(a) In the beginning, the tank contains only pure water and no solution of water with sugar.

Hence, the sugar is null for t = 0.

To learn more about differential equations, refer to the link: https://brainly.com/question/1164377

#SPJ4

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

  __

3| 10

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

   _0_

3 | 10

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

 _0_

3 | 10

    0

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 ___

3 | 10

- 0

__

1

Move the second digit of the dividend (0) down like so:

 __0_

3 | 10

 - 0

-----------

10

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

 __03_

3 | 10

- 0

___

10

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

 _03_

3 | 10

- 0

__

10

 9

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

  __03_

3 | 10

- 0

__

10

-9

_

1

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

To know more about correlation coefficients, visit,

https://brainly.com/question/4219149

#SPJ4

\( {7}^{3} \\ = 7 \times 7 \times 7 \\ = 7^{1 + 1} \times 7 \\ = {7}^{2} \times 7 \\ = 49 \times 7\)

\(49\)

ray4918 here to help

The rate of return on the stocks over the eight-year period, rounded to the nearest whole percent, is approximately 184%.

To calculate the rate of return, we can use the formula:

Rate of Return = (Final Value - Initial Value) / Initial Value

In this case, the initial value of the investment was $1,000, and the final value is $2,839.42. Plugging these values into the formula, we get:

Rate of Return = ($2,839.42 - $1,000) / $1,000 = $1,839.42 / $1,000 ≈ 1.83942

To convert this decimal to a percentage, we multiply it by 100:

Rate of Return ≈ 1.83942 * 100 ≈ 183.942

Rounding this to the nearest whole percent, we get 184%. Therefore, the rate of return on the stocks is approximately 184%.

It's important to note that there seems to be a discrepancy between the given final value of $2,839.42 and the expected result of 184%. The correct calculation of the rate of return should yield a result closer to 184% rather than 156%.

learn more about rate of return here:

https://brainly.com/question/17164328?

#SPJ11

Answer: false

Step-by-step explanation:

Answer:

use -9 to multiply the first equation

use -4 to multiply the second equation.

Step-by-step explanation:

5x-4y=28.....eqn (1)×-9

3x-9y=30....eqn(2)×-4

-45x+36y=-252

-(-12x+36y=-120)

therefore, -33x÷33 =-132÷-33

x=4.

substitute (x=4) in any of the equation. I'm just going to use eqn 1.

5x-4y=28

5(4)-4y=28

20-4y=28

-4y =28-20

-4y÷-4 = 8÷-4

y=-2

so, x=4, y=-2

Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g

5(4)-4(-2)=28.

Answer:

The first equation should be multiplied by 9 and the second equation by −4.

Step-by-step explanation:

To determine which of the given sets is a subspace of ℝ³, check if they satisfy the 3 properties of a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

In summary, the only set that is a subspace of ℝ³ is W = {(a, b, 1): a and b are real numbers}.

To learn more about subspace visit:

brainly.com/question/13390612

#SPJ11

Answer:

Don't let anyone bring you down you matter you rock!

Step-by-step explanation:

Answer:

D). \(-5x^2+3x-6\)

Step-by-step explanation:

\(\left(-3x^2+x-8\right)+\left(-2x^2+2x+2\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\\\=-3x^2+x-8-2x^2+2x+2\\\\\mathrm{Group\:like\:terms}\\\\=-3x^2-2x^2+x+2x-8+2\\\\\mathrm{Add\:similar\:elements:}\:-3x^2-2x^2=-5x^2\\\\=-5x^2+x+2x-8+2\\\\\mathrm{Add\:similar\:elements:}\:x+2x=3x\\\\=-5x^2+3x-8+2\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-8+2=-6\\\\=-5x^2+3x-6\)

Answer:

9:2

27:6

36:8

here are some:)

Answer:

X > -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x < -1

Step-by-step explanation:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

\(5 \: mile = > 8km \\ 60 \: mile = > x \\ 5x = 60 \times 8 \\ 5x = 480 \\ x = \frac{480}{5} \\ x = 96 \\ thank \: you\)

I hope it will help you .

Thank you.

Tedybearlover

^ - ^

Answer:

D

Step-by-step explanation:

The correct answer is Graph D i took the exam and got it correct :)

Answer:

x = -19/4

Step-by-step explanation:

Given the equation 2+3/4x =  5/12. We are to find the value of x

2+3/4x = 5/12.

3/4 x = 5/12 - 2

3/4 x = (5-24)/12

3/4 x = -19/12

Cross multiply

3x * 12 = -19 * 4

36x = -76

x = -76/36

x = -19/4

Answer:

(8.5, -4)

Step-by-step explanation:

The midpoint formula:  

The midpoint (x, y) = (the sum of the x-values/2,  the sum of the y-values/2

The midpoint  x, y) = (7 + 10)/2  , (-9 + 1)/2

The midpoint is (17/2, -8/2)  = (8.5, -4)

Answer:

(8.5, -4)

Step-by-step explanation:

(7+10)/2 = 8.5

(-9+1)/2 = -4

Answer:

2/7 (29%)

Step-by-step explanation:

out of 7 there are only 2 multiples of 3, (3 & 6) therefore 2/7 integers are multiples of 3

Answer:

Step-by-step explanation:

The equation will become

y = (x - 7 + 4)^2

The -7 will translate the whole graph 7 units to the right.

Answer:

The graph will move seven units to the right

Step-by-step explanation:

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

To find the probability that the first ticket drawn is a 1, we need to consider the total number of tickets and the number of 1s in the box.

There are a total of 8 tickets in the box. Among them, there are 3 tickets with a value of 1.

When the first ticket is drawn, there are 8 possible outcomes. Out of these, 3 outcomes will result in drawing a ticket with a value of 1 (as there are 3 tickets with a value of 1).

Therefore, the probability of drawing a 1 as the first ticket is 3/8 or 0.375. This means that there is a 37.5% chance of drawing a 1 as the first ticket.

The probability is calculated by dividing the number of favorable outcomes (drawing a 1) by the total number of possible outcomes (drawing any ticket from the box).

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

(x-rooot1)(x-root2)

Step-by-step explanation:

a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis

(x-rooot1) (x-root2)=0

and you can find the roots by making each parenthesis equal to 0 because of the zero product rule

x-root1 = 0, x=root1

x-root2 =0, x=root2

The probability of getting three of the same symbol in a row depends on the specific rules of the slot machine and the distribution of symbols on the reels.

To determine the probability of getting three of the same symbol in a row, we need to know the total number of possible outcomes and the number of favorable outcomes. The total number of possible outcomes is determined by the number of symbols available on each reel and the number of reels.

For example, if there are three reels and each reel has six different symbols, then the total number of possible outcomes is \(6^3\)= 216.

To calculate the number of favorable outcomes, we need to consider the specific combination of symbols that result in three of the same symbol in a row. Without knowing the specific distribution of symbols on the reels or any specific rules of the slot machine (such as the presence of wild symbols or special features), it is not possible to determine the number of favorable outcomes.

Learn more about favorable outcomes here:

https://brainly.com/question/31168367

#SPJ11

A slot machine offers up six different symbols: cherry, banana, diamond, 7, BAR, and clover. Assuming the slot machine has three reels and each reel has an equal distribution of symbols, we can calculate the probability of getting three of the same symbol in a row.

The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:

\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)

To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.

For the square root of y to be real, y must be non-negative. That is, y ≥ 0.

For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:

\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)

This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.

In interval notation, we can write:

Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}

To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.

For more such questions on function visit:

https://brainly.com/question/11624077

#SPJ11