Problem: Article: When receiving a gift of any kind, you should absolutely tell the giver “thank you” for it.  "Thank you" is the best response you can offer no matter what you receive. Expressing thanks demonstrates your desire to accept the gift, compliment, or sentiment while still being humble about it. If simply saying "thanks" feels awkward to you, follow the phrase with a secondary phrase that continues to express gratitude. Try something like, "I appreciate the compliment," or, "That's very thoughtful of you." Your nonverbal response is just as important as your verbal response. At minimum, you should receive the vast majority of gifts with a smile.  Smiling indicates happiness, and the point of any gift is to make the receiver happy. Smiling when you receive something allows the giver to know that the gift was appreciated, regardless of whether the smile is shy and polite or huge and enthusiastic. Aside from smiling, you should also do things like maintaining eye contact and leaning in toward the giver. Even if you feel uncomfortable, you should avoid crossing your arms, looking away, or appearing disinterested. If you have a hard time receiving, your natural reaction might be to deflect or reject a gift that is offered to you. Doing so is actually more likely to cause a negative reaction than receiving the gift would cause, however. Put yourself into the giver's shoes and think of how it feels when someone denies a compliment or suspiciously rejects a gift. Most people will either be saddened when they realize the receiver doesn't know his or her own value, or frustrated by the implication that the gift or sentiment was somehow dishonest. It is also possible, of course, to seem conceited when you receive something. Failing to express genuine gratitude may make you appear egotistical, which can also cause a negative response from the giver. Appearing egotistical can usually be avoided as long as you stick to the standard “thank you” script. You should still avoid following your thanks with words of self-promotion, though. For instance, if someone compliments your appearance, avoid replying with, “Thanks; I get that all the time,” or, “Thanks; I know.” A fair, appropriate way to demonstrate humility when you receive something like a compliment or a reward is to acknowledge others who put you into a position to receive the gift. For instance, if you receive a compliment about a project that was successfully completed as part of a team effort, tell the giver something along the lines of, "The entire team put in a lot of effort, and it wouldn't have been possible without everyone's input. Thank you for acknowledging us." Depending on the situation, it might be socially appropriate to follow up with a more formal thanks or return gift. This principle won't always apply, but following it when convention deems it appropriate can help you feel more comfortable with the gift you received. This is a big issue to consider when receiving gifts for formal occasions, like weddings and baby showers. As you receive the gift in person, a quick “thank you” is appropriate. Later on, you should also follow up with a more formal thank you note acknowledging the gift in greater detail. No matter what the circumstances are, you should never turn the practice of giving into a competition. Giving and receiving are two sides of the same action, and there is no shame in being on either side of that action. This can be especially tempting when receiving compliments. If someone compliments your work, don't return the praise by offering higher praise. For instance, you shouldn't reply with, "Thank you, but you could've done a better job." Even if you believe such a statement, it is best to accept the praise without argument.
Summary: Verbalize your gratitude. Receive with open body language. Resist the urge to deny the gift. Don't get carried away. Give credit where credit is due. Follow the appropriate protocol. Avoid competing with the giver.

Problem: Article: The first thing to do when simplifying an algebraic fraction is to simplify each part of the fraction. Start with the top part, factoring out as many numbers as you can.  For an example, this section will use the problem: 9x-315x+6 Start with the numerator: 9x – 3. There is a common factor to both 9x and -3: 3. Factor out the 3 like you would any other number, leaving you with 3 * (3x-1). This is your new numerator: 3(3x-1)15x+6 Continuing the example from above, isolate the denominator, 15x+6. Again, look for a number that can divide into both parts. Here you can again factor out a 3, leaving you with 3 * (5x +2). Write in your new denominator: 3(3x-1)3(5x+2) This is the stage where you really get to simplify the fraction. Take any terms that are in both the numerator and the denominator and remove them. In this case, we can remove the 3 from both the top and the bottom.  3(3x-1)    →     (3x-1)3(5x+2)   →       (5x+2) A fraction is simplified when there are no more common factors in the top or the bottom. Remember that you cannot remove factors from inside the parenthesis – in the example problem you cannot factor out the x from 3x and 5x, since the full terms are actually (3x -1) and (5x + 2). Thus, the example is fully simplified, making the final answer: (3x-1)(5x+2) The best way to learn is to keep trying to simplify algebraic fractions. The answers are underneath the problems. 4(x+2)(x-13)(4x+8) Answer: (x=13) 2x2-x5x Answer:(2x-1)/5
Summary: Find a common factor in the numerator, or top part of the fraction. Find a common factor in the denominator. Remove like terms. Know when the equation is fully simplified. Try a practice problem.

Problem: Article: In the "Layers" pane on the right side of the Photoshop window, click and drag the image that you want to fade up to the top of the pane. Click the top-most image in the "Layers" window to ensure that it is selected before proceeding. You'll see this menu at the bottom of the "Layers" section. Doing so prompts a drop-down menu. In the drop-down menu, drag the slider to the left to lower your top image's opacity. As you drag the slider, you should begin to be able to see the bottom image through the top image. You can also change the opacity's percentage value in the text box. 100% is completely opaque and 0% is completely transparent. If you've adjusted your top image's opacity to your liking, your fade is complete. You may want to adjust the opacity incrementally to see what your image looks like with a little bit more (or less) opacity before saving it.
Summary:
Move the image you want to fade to the top. Select the image. Click the "Opacity" drop-down box. Lower the opacity. Review your image.