Find the exact distance between the point and line or pair of lines.

parallel lines with the equations $y=x+3$ and $y=x-4$

Given the following characteristics:

1. reduce friction between organs

2. line fluid-filled cavities

3. line trunk cavities that open to the exterior of the body

Which of the characteristics describe serous membranes?

a. 1,2

b. 1,3

c. 2,3

d. $1,2,3$

What are the side effects of radiofrequency ablation?

In above problem , over what range of lease payments will the lease be profitable for both parties?

Choisissez un paragraphe dans une des deux parties du texte. Faites une liste de tous les verbes au pass$\'e$, classez-les par temps et expliquez ensuite pourquoi Le Cl$\'e$zio a utilis$\'e$ ces temps.

For the following exercise, state three important theorems related to perpendicular and parallel lines. Write a proof of each theorem.

If two coplanar lines are each parallel to a third line, then the lines are parallel to each other.

What does pale skin in a child indicate?

A 2.5-g bullet traveling at $350 \mathrm{~m} / \mathrm{s}$ hits a tree and slows uniformly to a stop while penetrating a distance of $12 \mathrm{~cm}$ into the tree's trunk. What force was exerted on the bullet in bringing it to rest?

Supporters of tort reform say it’s unfair that plaintiffs (the parties bringing lawsuits) don’t have to pay damages to the defendants (the parties subject to the lawsuits) if they lose the case. Should plaintiffs pay damages if they lose a case? Why or why not?

Two distinct lines have undefined slopes. Are the lines parallel?

a. Carly’s Catering provides meals for parties and special events. In earlier Chapters and 4, you created an Event class for the company. Now, make the following changes to the class:

• Currently, the class contains a field that holds the price for an Event. Now add another field that holds the price per guest, and add a public method to return its value.

• Currently, the class contains a constant for the price per guest. Replace that field with two fields—a lower price per guest that is $32, and a higher price per guest that is$35.

• Add a new method named isLargeEvent() that returns true if the number of guests is 50 or greater and otherwise returns false.

• Modify the method that sets the number of guests so that a large Event (more than 50 guests) uses the lower price per guest to set the new pricePerGuest field and calculate the total Event price. A small Event uses the higher price.

Save the file as Event.java.

b. In earlier Chapter, you modified the EventDemo class to demonstrate two Event objects. Now, modify that class again as follows:

• Instantiate three Event objects, and prompt the user for values for each object.

• Change the method that displays Event details to use the new isLargeEvent() method and the new price per guest value. Use the display method with all three objects.

• Create a method that accepts two Event objects and returns the larger one based on number of guests. (If the Events have the same number of guests, you can return either object.) Call this method three times—once with each pair of instantiated Events—and display the event number and number of guests for each argument as well as the event number and number of guests for the larger Event.

Save the file as EventDemo.java.

Write the definition as two conditionals and as a single biconditional.

Perpendicular lines are two lines that intersect to form right angles.

Which two lines have the same y-intercept? Of these two lines, which has the larger slope?