Problem: Article: You'll need to start your exam by getting an initial sense of how far you may be dilated. Instead of putting your entire hand into your vagina, which may cause discomfort, use your pointer and middle fingers to start checking your cervix. Remember to wash your hands thoroughly with soap and water before inserting your fingers into your vagina. Locate the entrance of your vagina with the tips of your fingers. The back of your hand should be facing your spine, and your palm should face upwards. Angle your fingers back towards your anus to most effectively feel your cervix. If you feel any pain or extreme discomfort, remove your fingers. A woman's cervix feels like a pair of puckered lips when pregnant. After you've inserted your fingers into and up your vaginal canal, keep pushing them until you reach what feels like the puckered lips. Be aware that some women have a high cervix and others have a low cervix. You may need to insert your fingers further up your vaginal canal or may reach it relatively quickly. The cervix is basically the "end" of your vaginal canal no matter its position in your body. Use a gentle touch to feel for your cervix. Pressing or poking it with your fingers can lead to bleeding. Recognize that one finger may easily slip into the middle of your cervix if it is dilating. What you may feel at the center of the opening is your bag of waters that covers the baby's head. You may find this has the sensation of a latex balloon filled with water. Once a woman is dilated 10 centimeters, she'll generally ready to deliver her baby. If one of your fingers entered the middle of the cervix easily, you can use additional fingers to figure out how far along your dilation is. Keep in mind the following: if you can slip one finger into the middle of your cervix, you're about one centimeter dilated. Likewise, if you can insert five finger widths into your cervix, you're about 5 centimeters dilated. As your labor progresses, your cervix will go from feeling tight to like an elastic band. At 5 centimeters, it may feel like and have the thickness of a rubbery circle jar ring used in canning. Continue to insert fingers gently into your vagina until you're using your entire hand or it causes discomfort. Remove your hand to see how many finger widths you used. This can give you a general idea of how far your cervix is dilated. If you're cervix is dilated more than 3 centimeters, it generally means you are in the active phase of labor. You should go to the delivery center you've chosen or prepare your home if you're having a home birth. Be aware that your contractions can also help indicate that you should go to the delivery center. They will be more regular and stronger. They should be about five minutes apart and last for 45-60 seconds.
Summary: Insert two fingers into your vagina. Push your fingers to your cervix. Continue using your fingers to feel how far you're dilated. Go to your delivery center.

Problem: Article: If a linear equation has one integral solution, then it must have infinitely many integral solutions. Here is a brief algebraic statement of the proof: Ax+By=C{\displaystyle Ax+By=C} A(x+B)+B(yA)=C{\displaystyle A(x+B)+B(y-A)=C} .. (Adding a B to x while subtracting A from y results in the same solution.) The pattern of infinite solutions begins with the single solution that you identified. In this case, your solution is the coordinate pair (x,y)=(75,102){\displaystyle (x,y)=(-75,-102)}. To find a new solution for x, add the value of the coefficient of y. In this problem, beginning with the solution x=-75, add the y coefficient of -64, as follows: x=75+(64)=139{\displaystyle x=-75+(-64)=-139} Thus, a new solution for the original equation will have the x value of -139. To make the equation remain balanced, when you add to the x term, you must then subtract from the y term. For this problem, beginning with the solution y=-102, subtract the x coefficient of 87, as follows: y=10287=189{\displaystyle y=-102-87=-189} Thus, a new solution for the original equation will have the y coordinate of -189. The new ordered pair should be (x,y)=(139,189){\displaystyle (x,y)=(-139,-189)}. To verify that your new ordered pair is a solution to the equation, insert the values into the equation and see if it works. 87x64y=3{\displaystyle 87x-64y=3} 87(139)64(189)=3{\displaystyle 87(-139)-64(-189)=3} 3=3{\displaystyle 3=3} Because the statement is true, the solution works. The values for x will fit a pattern of the original solution, plus any multiple of the B coefficient. You can write this algebraically as follows: x(k)=x+k(B), where x(k) represents the series of all x solutions, and x is the original x value that you solved. For this problem, you can say: x(k)=7564k{\displaystyle x(k)=-75-64k} y(k)=y-k(A), where y(k) represents the series of all y solutions, and y is the original y value that you solved. For this problem, you can say: y(k)=10287k{\displaystyle y(k)=-102-87k}
Summary: Recognize that infinitely many solutions exist. Identify your original solution values for x and y. Add the y-coefficient B to the x solution. Subtract the x-coefficient A from the y solution. Check the solution. Write a general solution.

Problem: Article: A common length for winter scarves is 60in (150cm) because then you can wrap it around your neck multiple times. Keep knitting until the scarf reaches this length, or make it a little longer or shorter if you prefer. Measure the scarf with a soft tape measure once it looks like it is getting close to the desired length. Some patterns will provide an exact number of rows to knit, but with most scarf patterns you can just keep knitting until your scarf is the desired length. in the knit row when the scarf is the desired length. Hold the needle with the stitches on it in your non-dominant hand. Then, knit the first 2 stitches onto the empty needle. Lift the first stitch you knit onto the needle up and over the second stitch, and then knit another new stitch. Lift the new first stitch up and over the stitch you just knit. Continue to knit 1 and lift 1 up and over until you reach the end of the row. When you finish binding off the last stitch, pull the yarn through to create a loop that is about 3in (7.6cm) long. Then, cut the working yarn about 8in (20cm) from the last stitch. Tug on the loop to pull the tail of the yarn through it. It's important to leave at least 10in (25cm) of yarn so that you will be able to weave in the end of the yarn. Thread the tail of yarn through the eye of a yarn needle. Insert the yarn needle into the edge of the scarf near the last stitch. Pull the needle and yarn all the way through the stitch. Then, insert the needle through the next stitch going from the other side of the scarf and pull this yarn taut. Repeat until you cannot sew any further. Then, cut the excess yarn about 0.25in (0.64cm) from the scarf.
Summary:
Continue knitting until your scarf measures 60in (150cm). Cast off Cut and tie off the final stitch in the row. Weave in the ends using a yarn needle.