The line through which of the following pair of points is perpendicular to l
?

PLEASE HELP!!!!!!!!!!!!!!

The inverse function for the given function is y=(5x-3)/2.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Given that, f(x)=(2x+3)/5

Here, the given function can be written as y=(2x+3)/5.

Replace y with x and x with y, we get

x=(2y+3)/5

5x=2y+3

5x-3=2y

y=(5x-3)/2

Therefore, the inverse function is y=(5x-3)/2.

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The potential difference between the two plates is approximately 970 volts.

The potential difference between the two plates can be calculated using the formula:

V = Q / C

where V is the potential difference, Q is the charge on the plates, and C is the capacitance of the system.

Assuming the two plates form a parallel plate capacitor with a separation distance d and a plate area A, the capacitance can be calculated as:

C = ε0 × A / d

where ε0 is the permittivity of free space.

Substituting the given values, we get:

C = ε0 × A / d = 8.85 × 10^-12 F/m × A / 1 × 10^-3 m = 8.85 × 10^-9 F

Q = 8.6 × 10^-6 C (given)

Therefore, the potential difference between the two plates is:

V = Q / C = (8.6 × 10^-6 C) / (8.85 × 10^-9 F) = 970.06 volts

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The expression to show the number of members of Abraham Lincoln senior class tennis club who entered the tournament is 0.05N

Let's say there are N students in the senior class at Abraham Lincoln High School. According to the problem statement, 10% of the students who know how to play tennis are in the Tennis Club. So, the number of students in the Tennis Club is:

Number of students in Tennis Club = 10% of students who know how to play tennis in the senior class

= 0.1 x (number of students who know how to play tennis in the senior class)

= 0.1 x N

Now, 50% of the members of the Tennis Club enter a Citywide tennis tournament. So, the number of members from the Tennis Club who enter the tournament is:

Number of members of Tennis Club who enter tournament = 50% of members of Tennis Club

= 0.5 x Number of students in Tennis Club

= 0.5 x 0.1 x N

= 0.05N

Therefore, the number of members of Abraham Lincoln senior class tennis club who entered the tournament is 0.05N.

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Answer:

If s=16, then s3 = 16 x 16 x 16 = 4,096.

Step-by-step explanation:

sqrt 33

i saw that dc is similar to bd as bd is similar to ad. solving for bd i got sqrt 24. solving for ab i did 3^2+sqrt24^2=ab^2

2/3 is the answer to that question.

The length of the UV is 3.7  feet.

All triangles have interior angles adding to 180°. When one of those interior angles measures 90°, it is a right angle and the triangle is a right triangle. In drawing right triangles, the interior 90° angle is indicated with a little square □ in the vertex.

In ΔUVW , The sides and angles are :

∠W = 90°

∠U = 61°

VW = 3 feet.

Let, taking UV be x

So, Accordingly to right angle triangle,ΔUVW

Sin ∠U = [tex]\frac{VW}{UV}[/tex]

Sin 61° = [tex]\frac{3}{x}[/tex]

Sin 61° ≈ 0.87

Plug the values in above formula:

x = [tex]\frac{3}{0.87}[/tex]

x = 3.7

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Answer: x=47°

By the angle sum theorem of a triangle, all angles in a triangle should add up to 180 degrees

Now that we have established this, you should be able to understand this q better.

102+31+x=180

=>133+x=180

=>x=180-133

=>x=47°

Answer:

20

Step-by-step explanation:

900-300=600

600 divided by 30 is 20

The concentration of xx after 12.5 hours [X] = 0.15 M. In this instance, you will need to extrapolate the graph to determine my estimate of how long it took for the concentration to drop from 0.1 M to 0.05 M.

This gives us t 1 2 = 6 minutes, so we can see that 12 minutes equals two half-lives. After one half-life, the concentration is 0.05 M; therefore, after two half-lives,

so there is no solution in 1 liter. moles XY used

Because two moles of X form from one mole of XY, the number moles

So

[X] = 0.15 M

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Complete Question:

The data below were collected for the following reaction at a certain temperature:

X₂Y→2X+Y

(Data found as picture in answer box). What is the concentration of  X after 12 hours?

The area of rectangle ABCD is equal to 20 square units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance AB = √[(-5 + 6)² + (2 - 4)²]

Distance AB = √[1 + 4]

Distance AB = √5

For the width, we have:

Distance AD = √[(2 + 6)² + (8 - 4)²]

Distance AD = √[64 + 16]

Distance AD = √80

Mathematically, the area of a rectangle can be calculated by using this formula:

Area of a rectangle = AD × AB

Area of a rectangle = √80 × √5

Area of a rectangle = √400

Area of a rectangle = 20 square units.

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Answer:

x = -17, x = 3, and you should add 100

Step-by-step explanation:

When completing the square, I like to follow a specific method.

First, I take the b-value and divide it by 2. This gives us to, in this situation, 7.

This means that the inside value in the (x-h)^2 area will be (x+7)^2

Now we find the square of that number, so 7^2 = 49. Now we have to find the distance between the number squared and the number on the outside. So we have to find the total distance between 49 and -51. To do this, we simply add 49 to 51, and we get 100, and then we set it as a negative.

We end up with (x+7)^2 - 100. On both sides, you should add 100.

Using the quadratic formula, the solutions are also x = -17, and x =3

Answer: x=0, y=3

Step-by-step explanation:

1. We can set both equations equal to each other, 2x+1=4x-1

2. From this, we get -2x=-2, so x=1

3. now we substitute this into any equation of your choosing, I'll be doing y=2x+1

4. From this, we get y=3

5. Substitute both values into the other equation to double check your answer. It works

6. x=0, y=3

Hope this helps!

The value of the trigonometric equation is cos x = 4/5 in the quadrant 1

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

sin x = 3/5

And , sin²x + cos²x = 1

So on simplifying , we get

cos²x = 1 - ( 3/5 )²

cos²x = ( 25 - 9 ) / 25

cos²x = 16/25

Taking square roots on both sides , we get

cos x = ±4/5

Since , it is first quadrant , all the values are positive

So , cos x = 4/5

Hence , the trigonometric relation is cos x = 4/5

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Answer: We can first reflect point P' = (3,-2) across the line y=4 to obtain the image point P'' as follows:

The y-coordinate of P' is -2 which is 6 units away from the line y=4. Therefore, its reflection across the line y=4 will have a y-coordinate of 4+6 = 10.

The x-coordinate of P' is 3. Since the reflection line y=4 is the midpoint of P' and its reflection, the x-coordinate of P'' is 2 units to the left of the reflection line. Therefore, the x-coordinate of P'' is 3-2 = 1.

So, the coordinates of P'' are (1,10).

To obtain the coordinates of point P, we need to apply the transformation (x,y) → (x-2,y) to P''. Therefore, we get:

P = (1-2,10) = (-1,10)

Therefore, the coordinates of point P are (-1,10).

Step-by-step explanation:

Answer:

(6,10)

Step-by-step explanation:

Since the Reticulated Python is the biggest living snake, the Titanoboa is believed to have been 44 feet long, or more than twice as long.

The measurement or size of something from one end to the other is referred to as its length. To put it another way, it is the bigger of the higher two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.

If the Titanoboa was 2 1/5 times as long as the Reticulated Python, we can express this relationship as a ratio:

Titanoboa length / Reticulated Python length = 2 1/5

To solve for the Titanoboa length, we can first convert the mixed number 2 1/5 to an improper fraction:

2 1/5 = 11/5

Substituting this value into the equation above, we get:

Titanoboa length / 20 feet = 11/5

To solve for the Titanoboa length, we can cross-multiply and simplify:

Titanoboa length = (20 feet) x (11/5) = 44 feet

Therefore, the Titanoboa is estimated to have been 44 feet long, which is more than twice as long as the largest living snake, the Reticulated Python.

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Answer:

2/3

Step-by-step explanation:

1.  Original equal parts = 8

2.  "cuts off 2 parts" mean 8 - 2 or 6

3.  Shades 4 remaining parts blue

4.  The fraction of blue (4) in the remaining (6) parts = 4/6 or 2/3

The dot product of a constant tensor D and the position vector x is equal to the constant tensor D.

Let us first write out the dot product of x and D:

(x ⋅ D) = (xi eˆi ⋅ D) = xi (eˆi ⋅ D)

Since D is a constant tensor whose components do not depend upon the coordinates, the dot product between D and any vector eˆi will also be constant and not depend on the coordinates. Therefore, we can simplify the above equation as:

(x ⋅ D) = xi (eˆi ⋅ D) = xi Di

But since Di is a constant for all i, we can write:

(x ⋅ D) = xi Di = D(ij) xi = D

Therefore, the dot product of a constant tensor D and the position vector x is equal to the constant tensor D.

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N has a value οf -3 when graph has a minimum pοint at (0,-3) and runs thrοugh pοints (-3, 6) and (3, 6)

Given that (0, -3) is the quadratic graph's smallest pοint, the equatiοn fοr the quadratic functiοn can be written as fοllοws:

f(x) = a(x - 0)² - 3

where the shape οf the parabοla is determined by the cοnstant "a". Since the parabοla widens upward (due tο the presence οf a minimum pοint), we can cοnclude that "a" is pοsitive.

We alsο knοw that the quadratic functiοn passes thrοugh pοints (-3, 6) and (3, 6) οn its path. This is what we get when we plug these values intο the f(x) equatiοn:

6 = a(-3 - 0)² - 3

6 = 9a - 3

9a = 9

a = 1

Cοnsequently, the equatiοn fοr the quadratic functiοn is as fοllοws:

A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn οf the fοrm:

ax² + bx + c = 0

where "x" is the variable, and "a", "b", and "c" are cοnstants, with "a" nοt equal tο zerο. The sοlutiοns οf a quadratic equatiοn are the values οf "x" that satisfy the equatiοn and make it true.

There are different methοds tο sοlve a quadratic equatiοn, including factοring, cοmpleting the square, and using the quadratic fοrmula. The quadratic fοrmula is a general fοrmula that can be used tο find the sοlutiοns οf any quadratic equatiοn, and it is:

x = (-b ± √(b² - 4ac)) / (2a)

f(x) = (x - 0)² - 3

f(x) = x² - 3

Nοw that we knοw the value οf "n," we can calculate k(x).

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The answer is 8 mph, this question is actually online, the missing values are 2/3 of a mile in 1/12 of an hour, which is 8

From the given information provided, the value of x segment drawn outside the circle is 3 cm.

We can find length of x by using secant-tangent theorem.

The secant-tangent theorem relates the lengths of the tangent and secant segments that are drawn from a point outside a circle.  If a tangent and secant are drawn from point outside circle, then product of lengths of the secant segment and external segment equals the square of the length of the tangent segment.

Applying the secant-tangent theorem, we have that the following equation holds true:

4x² = 6².

Hence we can solve the equation for x to obtain the value of x, as follows:

4x² = 36

x² = 36/4

x² = 9

x = √(9)

x = 3.

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The length of the hypotenuse is the same for both diagrams, and it is 5 units.

In both pictures, right triangles with three and four unit-long legs are depicted, and the length of the hypotenuse has to be determined. The Pythagorean theorem, which asserts that the hypotenuse's square equals the sum of the squares of the legs' lengths, can be used to do this.

The first diagram is as follows:

[tex]h^2 = 3^2 + 4^2[/tex]

[tex]h^2 = 9 + 16[/tex]

[tex]h^2 = 25[/tex]

[tex]h = \sqrt{(25)}= 5[/tex]

The second diagram is as follows:

[tex]h^2 = 4^2 + 3^2[/tex]

[tex]h^2 = 16 + 9[/tex]

[tex]h^2 = 25[/tex]

[tex]h = \sqrt{(25)} = 5[/tex]

As a result, the hypotenuse in both pictures has the same length, which is 5 units.

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The electrical circuit that powers inverters is high-voltage and capable of shocking you severely. When there is no current flowing, light coming into the device via the LCD's forward will bounce off the mirror after passing through into the LCs and polarized glass.

What kind of LCD display has the best color?

IPS (In Plane Switching) screens have been typically considered to be the greatest overall LCD technology for quality images, color accuracy, and picture quality. They work well for visual communication and some other tasks requiring precise and reliable color reproduction. Backlight issues frequently result from water damage. The LCD plug connector junction will corrode if water is placed on it.

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                                      "Complete question"

Which LCD components are powered by a high-voltage electrical circuit that can give you a nasty shock?

Select one:

a. CCFL frontlights

b. Convergers

c. Low-voltage b-nodes

d. Inverters

Harriet takes a job babysitting at a swim club when she knows nothing about children and her parents tell her not to babysit. As night fell, Harriet resisted the grow temptation to visit her children.

Main Characters:

The Winters - Mom and Dad Hanging Out

Charles - "Baby"

Harriet - The Nanny

Theme: Teaching the reader that abandonment through denial is the most painful feeling.

Synopsis: Harriet takes a job babysitting at a swim club when she knows nothing about children and her parents tell her not to babysit. As night fell, Harriet resisted the growing temptation to visit her children. When Mr. Winters brought Harriet home, she knew the baby wasn't real.

In this story by Katharine Weber, a couple she has never met hire a young girl as a nanny while they go to the movies. They told her the baby was sleeping perfectly well and didn't need to be fed or changed. Also, she shouldn't open the door because it will creak and wake the baby. As night fell, she became curious. She listened at the door, but heard nothing.

She tried the door lightly, but it seemed to be locked. As the father was driving her home, he said to her, “You understand, don't you? What should she understand?

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The area of the sector is evaluated to be equal to 274.40 square inches rounded to two decimal place.

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

the angle of the sector = 260°

the radius = 11 in

hence the area of the sector is calculated as follows:

(260°/360°) × 3.14 × 11 in × 11 in

we simplify by multiplication and division

13/18 × 3.14 × 11 in × 11 in

13/18 × 3.14 × 121 in²

4939.22 in²/18

274.4011 in²

Therefore, the area of the sector is evaluated to be equal to 274.40 square inches rounded to two decimal place.

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Answer:

x = 9, y = -9

Step-by-step explanation:

To solve the system of equations:

3x + 3y = 0

-7x - 9y = 18

We can use the method of substitution. Rearranging the first equation, we get:

3x = -3y

Dividing both sides by 3, we get:

x = -y

Now we can substitute this expression for x into the second equation:

-7(-y) - 9y = 18

Simplifying, we get:

7y - 9y = 18

-2y = 18

Dividing both sides by -2, we get:

y = -9

Now that we know y, we can substitute this value back into either of the original equations to find x. Using the first equation, we get:

3x + 3(-9) = 0

Simplifying, we get:

3x - 27 = 0

Adding 27 to both sides, we get:

3x = 27

Dividing both sides by 3, we get:

x = 9

Therefore, the solution to the system of equations is:

x = 9, y = -9

Using the gradient formula, we can find the equation of the line H: y - 1 = 5/4(x - 3). Setting y = 21 and solving for x, we get the value of p is 19.

We can use the formula for calculating the gradient of a straight line:

Gradient = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

We are given the gradient of the line as 5/4, and the coordinates of point A as (3,1). Let the coordinates of point B be (p,21). Then we can write the equation:

(21 - 1) / (p - 3) = 5/4

Simplifying this equation, we get:

20 / (p - 3) = 5/4

Multiplying both sides by (p - 3), we get:

20 = 5(p - 3) / 4

Multiplying both sides by 4, we get:

80 = 5(p - 3)

Dividing both sides by 5, we get:

16 = p - 3

Adding 3 to both sides, we get:

p = 19

Therefore, the value of p is 19.

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The points on the surface at which the tangent plane is parallel to the given plane are (1/√21, -1/√21, -3/√21) and (-1/√21, 1/√21, 3/√21).

To find the points on the surface 3x^2 + 5y^2 + 2z^ 2=1 at which the tangent plane is parallel to the plane 1x -1y−3z=−3, we need to use the gradient of the surface and compare it to the normal vector of the given plane.

The gradient of the surface is given by ∇f = <6x, 10y, 4z>. The normal vector of the given plane is <1, -1, -3>.

Since the tangent plane is parallel to the given plane, their normal vectors must be parallel as well. This means that the gradient of the surface must be a scalar multiple of the normal vector of the given plane.

So, we have:

6x = k(1)

10y = k(-1)

4z = k(-3)

Solving for x, y, and z in terms of k gives us:

x = k/6

y = -k/10

z = -3k/4

Substituting these values back into the equation of the surface gives us:

3(k/6)^2 + 5(-k/10)^2 + 2(-3k/4)^2 = 1

3(k^2/36) + 5(k^2/100) + 2(9k^2/16) = 1

(k^2/12) + (k^2/20) + (9k^2/8) = 1

(10k^2/120) + (6k^2/120) + (135k^2/120) = 1

151k^2 = 120

k^2 = 120/151

k = ±2/√21.

Solving for k gives us k = ±2/√21.

Plugging these values of k back into the equations for x, y, and z gives us the points:

(1/√21, -1/√21, -3/√21) and (-1/√21, 1/√21, 3/√21).

Hence, the tangent plane is parallel to the given plane are at points (1/√21, -1/√21, -3/√21) and (-1/√21, 1/√21, 3/√21).

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Answer:

Below

Step-by-step explanation:

720 kg / 48 kg / passenger = 15 passengers   which is passed the max allowable ....so it can only carry 12 of the learners per placard.

720 kg   =  8 * lifter

lifter = 720 kg / 8 = 90 kg each lifter