Problem: Write an article based on this summary: Determine whether you have a quadratic inequality. Graph the line on a coordinate plane. Draw the parabola. Find some test points. Shade the appropriate area.

Answer: A quadratic inequality takes the form of ax2+bx+c{\displaystyle ax^{2}+bx+c}. Sometimes there may not be an x{\displaystyle x} term or a constant, but there should always be an x2{\displaystyle x^{2}} term on one side of the inequality, and an isolated y{\displaystyle y} variable on the other side. For example, you might need to graph the inequality y<x210x+16{\displaystyle y<x^{2}-10x+16}. To do this, turn the inequality into an equation, and graph the line as you normally would. Since you have a quadratic equation, the line will be a parabola. For example, for the inequality y<x210x+16{\displaystyle y<x^{2}-10x+16}, you would graph the line y=x210x+16{\displaystyle y=x^{2}-10x+16}. The vertex is at point (5,9){\displaystyle (5,-9)}, and the parabola crosses the x-axis at the points (2,0){\displaystyle (2,0)} and (8,0){\displaystyle (8,0)}. Draw the parabola with a dashed line if the inequality is less than (<{\displaystyle <}) or greater than (>{\displaystyle >}). If the value is less than or equal to ({\displaystyle \leq }), or greater than or equal to ({\displaystyle \geq }), you should draw the parabola with a solid line, since the solution includes values equal to the line. For example, for the inequality y<x210x+16{\displaystyle y<x^{2}-10x+16}, you would draw the parabola with a dashed line. In order to determine which area to shade, you need to pick points from inside the parabola, and from outside the parabola. For example, the graph of the inequality y<x210x+16{\displaystyle y<x^{2}-10x+16} shows that the point (0,0){\displaystyle (0,0)} is outside the parabola. This would be a good point to use to test the solution. To determine which area to shade, plug the values of x{\displaystyle x} and y{\displaystyle y} from your test points into the original inequality. Whichever point produces a true inequality indicates which area of the graph should be shaded in. For example, plugging the values of x{\displaystyle x} and y{\displaystyle y} of the point (0,0){\displaystyle (0,0)} into the original inequality, you get:y<x210x+16{\displaystyle y<x^{2}-10x+16}0<020x+16{\displaystyle 0<0^{2}-0x+16}0<16{\displaystyle 0<16}Since this is true, you would shade the area of the graph where the point (0,0){\displaystyle (0,0)} is found. In this case, this is outside of the parabola, not inside of it.

Problem: Write an article based on this summary: Determine what number you need to multiply by 9. Fold down the finger that matches the number you want to multiply by 9. Count the number of fingers that are to the left of the folded finger. Assign the number of fingers to the left of the folded finger the tens spot. Assign the number of fingers to the right of the folded finger the ones spot. Put the tens spot and the ones spot together to get your answer.

Answer: Take a moment to think about which multiplication problem you are going to solve. Sometimes you might need to solve a problem that is assigned to you--for example, your teacher might ask you to solve the problem 9 x 6. Sometimes, you will have to determine the terms of the problem yourself, for example, if you wish to purchase 9 candy bars that cost $2.00 each. To determine how much you will be spending, you will have to multiply 9 x 2. Take a look at your hands and your fingers. When you multiply 9 x 1, you will fold down your finger that was assigned the "1" spot: your left pinkie. When you multiply 9 x 2, you will fold down the finger that is second from the left: your left ring finger. When you multiply 9 x 6, you will fold down your finger in the "6" spot: your right thumb. Remember that you can solve any multiplication problem from 9 x 1 to 9 x 10 in this manner. Keep the proper finger folded as you move on to the next step in your calculation. Ask yourself how many fingers are standing up to the left of the folded finger. For example, if you are solving the problem of 9 x 6, there should be five fingers (all the fingers on your left hand) standing up to the left of the folded sixth finger (your right thumb). If you are solving the problem of 9 x 1, there should be zero fingers standing up to the left of the folded first finger (your left pinkie). Most of the answers from the 9s times tables are two-digit numbers. The only exception is 9 x 1, whose answer is the single-digit number 9. The tens spot in your answer is determined by the number of fingers to the left of the folded finger. For example, if you are solving 9 x 6, you will see that you have five fingers to the left of the folded finger. This means that your answer will be fifty-something. In order to determine the precise answer, you will have to continue to the next step. Take a look at your hands, with the proper finger still folded. Count the number of fingers that are to the right of the folded finger. This is the "ones" component in your answer. For example, if you are solving 9 x 6, you will see that you have four fingers to the right of the folded finger. This means that the ones digit in your answer will be 4. By stitching together the number of fingers to the left of your folded finger (the tens spot) and the number of fingers to the right of your folded finger (the ones spot), you will get your final answer for that times table. For example, if you are solving for 9 x 6, you will have 5 fingers to the left of the folded "6" finger and 4 fingers to the right of it. The 5 is in the tens spot and the 4 is in the ones spot. Put it together to get 54, which is the correct answer. If, however, you are solving for 9 x 8, you will have 7 fingers to the left of the folded "8" finger (your right middle finger) and 2 fingers to the right of it. The 7 is in the tens spot and the 2 is in the ones spot. Put it together to get 72, which is the correct answer.

Problem: Write an article based on this summary: Identify an HDMI-compatible port on your non-HDMI device. Choose the right cable or adapter. Connect the HDMI-A plug into a port on the TV. Connect the other end of the cable to the device or adapter. Switch to the HDMI source on your TV. Hook up the audio separately if necessary.

Answer:
If your TV has HDMI but your gaming system, computer, or other gadget does not, you can usually still connect with an adapter that converts an existing port to HDMI Type A (standard). You can find HDMI adapters/cables for the following port types: DisplayPort: This type of port supports both digital audio and high-resolution video when converted to HDMI. Look for ports labeled "DP" or "DisplayPort". If you have a DisplayPort on your laptop or tablet, you'll need a DisplayPort-to-HDMI-A cable or adapter.Some devices, including the Microsoft Surface, have a DisplayPort Mini port rather than the standard size. You'll need a DisplayPort Mini-to-HDMI-A cable or adapter in this case. DVI: DVI outputs do not transmit audio, but you can get high-quality video using a DVI-to-HDMI-A cable or adapter. Note that there are different DVI port sizes, so you'll need to make sure you get the right cable. Count the number of pins in your DVI port and compare it to available cables and adapters. VGA: If you have an old-school VGA port, you won't get the best picture quality on your TV, and definitely no audio. However, you can still connect the device using a VGA-to-HDMI-A converter or adapter. Most modern TVs have at least one full-size (Type A) HDMI port, which is 13.9 mm x 4.45 mm in size. You can usually find a cable that has an HDMI-A plug on one side and a DVI, DisplayPort, or VGA plug on the other. You'll just need to make sure the non-HDMI size matches up exactly with the port on your device. Another option is to purchase a smaller adapter/converter. With an adapter, you'd plug a standard HDMI cable into the HDMI end, and a standard DVI, DisplayPort, or VGA cable into the other side. This means you'd need two different types of cables plugged into one adapter. The HDMI cable must also be long enough to reach from the device to the TV. Choose a cord that is slightly longer than necessary to minimize the strain on the cord and both devices. Turn on the TV if you haven't already done so, and then connect the cable securely. If your TV has multiple HDMI ports, take note of the HDMI port number you're using. If you have an HDMI-to-(other) cable, plug the matching end into that port now. If you bought an adapter, plug the other side of the HDMI cable into the HDMI side of the adapter, and then connect that adapter to the device using the appropriate cable (DVI, DisplayPort, or VGA) for that device. Do not force the plug into the port. It should only fit one way, and if it doesn't fit at all, you may have the wrong type of cable. If using an adapter for VGA ports, you will likely need to match the color of each adapter plug to the corresponding audio and video ports on your computer. First, turn on the non-HDMI device if you haven't already done so, and then use the SOURCE or INPUT button on your TV or remote to select the HDMI port. You'll usually have to press it a few times until you reach the right port number. Once you reach the correct source, you should see the device's image on the screen. If you're using Windows, press Win+P to open the Windows Project panel, and then select an option for displaying the screen on the TV. If you want to mirror the desktop, for example, select Duplicate. If you have a Mac, the screen should automatically be mirrored on the TV. If the dimensions look funny, navigate to Apple menu > System Preferences > Displays > Display and select Default for display. If you need to enter a specific resolution, chose Scaled instead and enter that resolution now. If you're not using DisplayPort, you'll usually need to use a separate cable to stream audio to your TV. If both your input device and TV have the appropriate ports, you might be able to directly connect the two devices using a separate stereo cable. Alternatively, you can use an audio cable to redirect audio from your input device to a separate nearby set of speakers previously hooked up to your TV.