Exercise 6: Two points in a plane are specified using the coordinates (x1, y1) and (x2, y2). Write a program that calculates the slope of a line through two (non-vertical) points entered by the user y2 yl slope: x2- xl Exercise 7: Write a program that accepts two points (see previous problem) and determines the distance between them. distance = V(2 – x1)² + (y2 – y1)²
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- Area and Perimeter: Write a program that prints the area and perimeter of a circle with a radius of 5.5 using the formula:• Perimeter = 2 * radius * PI• Area = radius * radius * PI• Use Math.PI for PI in your programWrite an application that reads the (x,y) coordinates fortwo points. Compute the distance between the two pointsusing the following formula: Distance = the square root of the sum ofthe square of the difference of the x coordinates and the square of the difference of the y coordinatesThe area of a hexagon can be computed using thefollowing formula (s is the length of a side): Write a program that prompts the user to enter the side of a hexagon and displaysits area. Here is a sample run: Enter the side: 5.5 ↵EnterThe area of the hexagon is 78.59
- Summary When you borrow money to buy a house, a car, or for some other purposes, then you typically repay it by making periodic payments. Suppose that the loan amount is L, r is the interest rate per year, m is the number of payments in a year, and the loan is for t years. Suppose that i = (r / m) and r is in decimal. Then the periodic payment is (first image which R=....): You can also calculate the unpaid loan balance after making certain payments. For example, the unpaid balance after making k payments is (second image which L'=....) : where R is the periodic payment. (Note that if the payments are monthly, then m = 12.) Instructions Write a program that prompts the user to input the values of L, r, m, t, and k. The program then outputs the appropriate values. Your program must contain at least two functions, with appropriate parameters, to calculate the periodic payments and the unpaid balance after certain payments. Make the program menu driven and use a loop so that the…The area of a rectangle is the rectangle’s length times its width. Write a program that asks for the length and width of two rectangles. The program should tell the user which rectangle has the greater area, the lesser area or if the areas are the same. Allow the user to continue to ask for measurements of two rectangles until he/she wishes to quit.palindromic prime is a prime number and also palindromic.For example, 131 is a prime and also a palindromic prime, as are 313 and 757.Write a program that displays the first 120 palindromic prime numbers. Display10 numbers per line, separated by exactly one space, as follows:2 3 5 7 11 101 131 151 181 191313 353 373 383 727 757 787 797 919 929
- java Write a program that prompts the user to enter a point (x, y) and checks whether the point is within the rectangle centered at (0, 0) with width 10 and height 5. For example, (2, 2) is inside the rectangle and (6, 4) is outside the rectangle, as shown in the Figure. (Hint: A point is in the rectangle if its horizontal distance to (0, 0) is less than or equal to 10 / 2 and its vertical distance to (0, 0) is less than or equal to 5 / 2.) Here are sample runs of the program: Sample 1: Enter a point with two coordinates: 2 2 Point (2.0, 2.0) is in the rectangle Sample 2: Enter a point with two coordinates: 6 4 Point (6.0, 4.0) is not in the rectangle Analysis: (Describe the problem including input and output in your own words.) Design: (Describe the major steps for solving the problem.) Coding: (Go over your code step by step) Testing: (Describe how you test this program). In other words run your code with sample outputs.In this assignment you will write a program that shows the valid moves of chess pieces. Your program will draw a board with 64 squares using the traditional layout, next ask the user to choose a move, and then, depending on the user's choice, redraw the board with the selected chess piece and its valid moves. Please see the examples of valid moves of chess pieces and the traditional chess board layout below:A palindromic prime is a prime number and also palindromic. For example, 131 is a prime and also a palindromic prime, as are 313 and 757. Write a program that displays the first 120 palindromic prime numbers. Display 10 numbers per line, separated by exactly one space, as follows: 3 5 7 11 101 131 151 181 191 313 353 373 383 727 757 787 797 919 929
- JAVA CODE PLS Rectangle by CodeChum Admin A rectangle can be formed given two points, the top left point and the bottom right point. Assuming that the top left corner of the console is point (0,0), the bottom right corner of the console is point (MAX, MAX) and given two points (all "x" and "y" coordinates are positive), you should be able to draw the rectangle in the correct location, determine if it is a square or a rectangle, and compute for its area, perimeter and center point. To be able to do this, you should create a class for a point (that has an x-coordinate and a y-coordinate). Also, create another class called Rectangle. The Rectangle should have 2 points, the top left and the bottom right. You should also implement the following methods for the Rectangle: display() - draws the rectangle on the console based on the sample area() - computes and returns the area of a given rectangle perimeter() - computes and returns the perimeter of a given rectangle centerPoint() -…Exercise Ex. 1: Find a regular expression over the alphabet { a, b} that contain exactly three a's. Ex. 2: Find a regular expression over the alphabet { a, b} that end with ab. Ex. 3: Find a regular expression over the alphabet { a, b} that has length of 3. Ex. 4: Find a regular expression over the alphabet { a, b } that contain exactly two successive a's. Ex. 5: Find the output (words) for the following regular expressions.A polygon is convex if it contains any line segmentsthat connects two points of the polygon. Write a program that prompts the userto enter the number of points in a convex polygon, enter the points clockwise,then displays the area of the polygon. Here isa sample run of the program: Enter the number of points: 7 ↵EnterEnter the coordinates of the points:−12 0 −8.5 10 0 11.4 5.5 7.8 6 -5.5 0 −7 −3.5 −13.5 ↵EnterThe total area is 292.575