Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.


A. 2x + y = 7


B. x + 2y = 11


C. 2x – y = – 3


D. x – 2y = – 9

Answer:

When it yields a negative constant, the original function is everywhere concave down. In other words, when the second derivative of the equation of our parabola is positive, the parabola opens upward; when it is negative the parabola opens downward. Example 2: If y = -2(x-1)² + 3, determine the parabola's orientation.

Step-by-step explanation:

I hope this helps and can you give me a Brainliest plz plz plz.

Answer:

import java.util.Scanner;

public class Main {

  public static void main(String[] args) {

      Scanner input = new Scanner(System.in);

      int n = input.nextInt();

      int l = 1;

      for(int i=1; i <= n; i++){

          for(int j=1; j<= l; j++){

              System.out.print("*");

          }

          System.out.println();

          l = l + 2;

      }

      l = l - 4;

      for(int i=1; i < n; i++){

          for(int j=1; j <= l; j++){

              System.out.print("*");

          }

          System.out.println();

          l = l-2;

Step-by-step explanation:

To begin, utilize a Scanner object to receive an integer as input (Line 5-6).

To print the upper section of the diamond form, make the first set of inner loops (Line 8-14). The variable l specifies the maximum number of asterisks that can be written in each row.

Create another inner loop to print the diamond shape's lower half (Line 17-23). The same variable l is used to specify the maximum number of asterisks to appear in each row.

Answer:

1/3 is the slope

Step-by-step explanation:

Use this formula \(\frac{y2 - y1}{x2 - x1}\)

Plug in (-1, -6) and (5, -4)

\(\frac{-4 - -6}{5 - -1} = \frac{2}{6}/2 = \frac{1}{3}\)

Hope this helps ya!!!

The probability that Alice has two Aces is 5.88%.

To answer your question about the probability that Alice has two aces, we will consider the two scenarios you provided.

1. If you know that Alice has an Ace:

- There are 52 cards in a standard deck, and 4 Aces.
- Since Alice has an Ace, she has one of the 4 Aces and 51 cards remain in the deck.
- There are now 3 Aces left in the deck, and Alice needs one more Ace to have two Aces.
- The probability that Alice has two Aces is the number of remaining Aces divided by the number of remaining cards, which is 3/51.

2. If you know that Alice has the Ace of Spades:

- Since Alice has the Ace of Spades, there are now 51 cards left in the deck.
- There are still 3 Aces remaining (hearts, diamonds, and clubs).
- The probability that Alice has two Aces is the number of remaining Aces divided by the number of remaining cards, which is 3/51.

In both scenarios, the probability that Alice has two Aces is 3/51, or approximately 0.0588 or 5.88%.

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Answer:

Step-by-step explanation:

The solution of the equation y = cos 2θ in terms of y is θ = ± arccos(y)/2. The equation y = cos 2θ can be written as 2θ = arccos(y). Dividing both sides by 2, we get θ = arccos(y)/2. This is the solution of the equation in terms of y.

The solution is valid for all values of y such that -1 ≤ y ≤ 1. This is because the cosine function has a range of -1 to 1. When y = -1, arccos(y) = 180° and θ = 180°/2 = 90°. When y = 1, arccos(y) = 0° and θ = 0°/2 = 0°.

For all other values of y between -1 and 1, the solution θ = arccos(y)/2 is a valid angle in the interval [0, 180°).

In conclusion, the solution of the equation y = cos 2θ in terms of y is θ = ± arccos(y)/2.

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Answer:

A) C= 10x +5

C) The slope is the delivery cost per pizza without the additional delivery charge.

Step-by-step explanation:

Please see the attached picture.

Answer:

i need the points

Step-by-step explanation:

idek

Answer: Choice B.

The relationship is not proportional. The number of water bottles that are thrown away Increases from month to month than the number of water bottles that are recycled.

Answer:

Yes, he divided correctly

Step-by-step explanation:

Given

\(Parts = 8\)

\(Location = \frac{1}{8}\)

Required

Was his calculation correct?

Yes, he divided the number line correctly.

Given that the number of intervals on the number line is x.

When divided into 8 parts, we have:

\(Location = \frac{x}{8}\)

\(Location = \frac{1}{8}x\)

This means that each point on the number line will be located at 1/8 interval between one another.

Hence, Dave is correct

Answer:

thats cool

Step-by-step explanation:

Answer:

13/4

Step-by-step explanation:

option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

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Answer: 66.5

Step-by-step explanation:

I'm sorry. I don't really know how to show my work with typing on this but this is pretty easy. It says your in high school so you should definetely be able to figure this out.

Answer:

215.00-148.50= 66.50

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

The net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

We can use the Biot-Savart Law to calculate the magnetic field at point P due to each wire, and then add the two contributions vectorially to obtain the net magnetic field.

The magnetic field due to a current-carrying wire can be calculated using the formula:

d = μ₀/4π * Id × /r³

where d is the magnetic field contribution at a point due to a small element of current Id, is the vector pointing from the element to the point, r is the distance between them, and μ₀ is the permeability of free space.

Let's first consider the wire carrying current I₁ (in the positive X direction). The contribution to the magnetic field at point P from an element d located at position y on the wire is:

d₁ = μ₀/4π * I₁ d × ₁ /r₁³

where ₁ is the vector pointing from the element to P, and r₁ is the distance between them. Since the wire is infinitely long, we can assume that it extends from -∞ to +∞ along the X axis, and integrate over its length to find the total magnetic field at P:

B₁ = ∫d₁ = μ₀/4π * I₁ ∫d × ₁ /r₁³

For the given setup, the integrals simplify as follows:

∫d = I₁ L, where L is the length of the wire per unit length

d × ₁ = L dy (y - 1/2 L) j - x i

r₁ = sqrt(x² + (y - 1/2 L)²)

Substituting these expressions into the integral and evaluating it, we get:

B₁ = μ₀/4π * I₁ L ∫[-∞,+∞] (L dy (y - 1/2 L) j - x i) / (x² + (y - 1/2 L)²)^(3/2)

This integral can be evaluated using the substitution u = y - 1/2 L, which transforms it into a standard form that can be looked up in a table or computed using software. The result is:

B₁ = μ₀ I₁ / 4πd * (j - 2z k)

where d = 5 mm = 5×10^-3 m is the distance between the wires, and z is the coordinate along the Z axis.

Similarly, for the wire carrying current I₂ (in the negative X direction), we have:

B₂ = μ₀ I₂ / 4πd * (-j - 2z k)

Therefore, the net magnetic field at point P is:

B = B₁ + B₂ = μ₀ / 4πd * (I₁ - I₂) j + 2μ₀I₁ / 4πd * z k

Substituting the given values, we obtain:

B = (2×10^-7 Tm/A) / (4π×5×10^-3 m) * (30A - (-30A)) j + 2(2×10^-7 Tm/A) × 30A / (4π×5×10^-3 m) * (15×10^-2 m) k

which simplifies to:

B = (6e-5 j + 0.57 k) T

Therefore, the net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

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Given:

The distance traveled in 10 seconds is 450 feet.

To find the distance traveled in 1 minute:

In 10 seconds, the distance is 450 feet.

In 20 seconds the distance will be,

In 30 seconds the distance will be,

In 40 seconds the distance will be,

In 50 seconds the distance will be,

In 60 seconds the distance will be,

Hence, the distance traveled in 1 minute is 2700 feet.

So, the table becomes,

The total area of the colored rectangles is 62 square feet

Given that: the room is  12 x 16 with an 8 x 10 piece of linoleum centered in the room

The shape will be treated as a composite rectangle. Thus, the room can be divided into smaller rectangles as shown in the image attached.

For the Yellow part:

Length(L) = 8 + 2 = 10 feet

width(W) = 3 feet

Area(A) = L × W

A = 10 × 3 = 30 square feet

For the Blue part:

Length(L) = 2 feet

Width(W) = 3 + 10 = 13feet

Area(A) = L × W

A = 13 × 2 = 26 square feet

For the Green part:

Length(L) = 2 feet

width(W) = 3 feet

Area(A) = L × W

A =  2 × 3 = 6 square feet

Total colored area = Area of Yellow +  Area of Blue +  Area of Green

Total colored area = 30 + 26 + 6 = 62 square feet

Therefore, the total colored area is 62 square feet

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Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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The value of x from the similar triangles is x = 9 and the length of CE of the triangle ACE is CE = 35

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔACE

Let the second triangle be represented as ΔBDC

The measure of side AB = 6

The measure of side BC = x - 5

The measure of side AC = x + 1

The measure of side CD = 14

The measure of side DE = 2x + 3

The measure of side CE = 2x + 17

Now , ΔACE and ΔBDC are similar

So , the corresponding sides of similar triangles are in the same ratio

Substituting the values in the equation , we get

AC / CE = BD / CD

( x + 1 ) / ( 2x + 17 ) = ( x - 5 ) / 14

On simplifying the equation , we get

14x + 14 = 2x² - 10x + 17x - 85

Subtracting 14x + 14 on both sides of the equation , we get

2x² - 7x - 99 = 0

On factorizing the equation , we get

x = 9 or x = -11/2

Substituting the value of x in the equation , we get

The length of line segment CE = 2x + 17

The length of line segment CE = 2 ( 9 ) + 17

The length of line segment CE = 35

Hence , the length of CE is 35

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Answer:yes

Step-by-step explanation:

It has the y=mx+b format

The dimensions of the base are 180 feet in length and 165 feet in width.

The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.

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Answer:

8 but more than 6

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The triangle side rule is that the two smaller side have to be added together and be greater than the longest side

6+8=14

so any number that is 14 or more cannot be the other side

Therefore the third side must be less than 14 inches

~MisterMathWiz

Answer:

X = 4.2

Step-by-step explanation:

3.6 x 4.2(x) + 4.8 = 19.92

I hope this helped!!

Answer:

it should be y=4x-14

Step-by-step explanation:

since the line is parallel to y=4x+1 than the slope should be the same but the y intercept is different. and so u put the coordinate on a graph and use the slope and coordinate to fine the equation.