INPUT ARTICLE: Article: Your core includes the muscles in your pelvis, lower back, hips and abdomen. Having a strong core that works in harmony dramatically reduces the risk of back injuries and pain from exercise. Making sure your core muscle groups are relatively strong before you start cycling is a good strategy to reduce the risk of back pain. Cycling does not specifically strengthen the core body muscles, although it can certainly strain them. In contrast, any exercise that utilizes the abdominal and back muscles in coordinated fashion is a good core exercise. For example, just trying to maintain your balance while sitting on a large exercise ball will work your core muscles. Do bridge exercises: Lie on your back with your knees bent and feet flat on the floor, keeping your spine in a neutral position and not tilting your hips. While contracting your abdominal muscles, raise your hips off the floor and hold the position for at least 30 seconds. Repeat five to 10 times daily. This will also help strengthen your glutes. Try planks: Start on all fours, with your hands flat on the floor directly beneath your shoulders. Extend your legs behind you so your hands and toes are bearing your body weight. Keep your back straight don't let is sag or round up and tighten your stomach. Hold for 30 seconds, then release. Repeat two to three times, gradually increasing the hold time of the exercise. A great activity that will strengthen your core and prepare you for cycling is swimming. Cycling can obviously strengthen your legs, but research has shown that if your legs are not strong enough before getting involved with cycling, then you're at higher risk of back pain. Scientists have demonstrated that when cyclists pedal to exhaustion, their hamstrings and calf muscles become progressively more fatigued, which negatively impact their spinal posture and putting them at risk for back pain. As such, consider increasing the strength in your legs before you embark on cycling as a hobby. Strengthen you hamstrings by doing deep leg bends, lunges and/or hamstring curls at the gym two to three times weekly. Start with light weights and progress to heavier ones over the course of a few weeks. Consult with a personal trainer if you're unfamiliar with weight training. Strengthening your calves by grabbing some free weights (at least 10 pounds in each hand) and doing heel raises. While on your tiptoes, hold for five seconds and repeat 10 times on a daily basis. Progress to heavier weights over the course of a few weeks. In addition to strengthening the legs, one should also strengthen the glutes (buttocks). If the hamstrings and calves become too tight, the glutes become weak. This leads to more work being placed on the lower back. Weak glutes can also contribute to knee pain. Strengthen your buttocks (glutes) by doing a bridging exercise. Lie on your back with feet flat and knees bent. Slowly lift your back off the ground as high as you can so your thighs and back are aligned in a straight line. Hold this position for 20 seconds. Rest and repeat 3 to 4 times. You can increase the hold position as you improve in strength. The flip side of a strong back is a flexible back. Strong back muscles are important for generating power while peddling and absorbing the micro-trauma of road shock and vibration, but a flexible back is crucial for enduring the posture required of cycling without leading to strains. A great activity that stretches the back and other core muscles is yoga. The challenging body poses of yoga also act to strengthen your core and leg muscles and improve your overall posture. Do leg to chest stretches: lie down on a padded surface with your knees bent and feet together on the floor. Grab your shins and try to touch your thighs to your chest. Go as far as you can until you feel a stretch in your low back muscles and hold (without bouncing) for 30 seconds. Repeat 10x daily until you have no more back discomfort from cycling. As a beginner, yoga poses might create some soreness in the muscles of your legs and back it should fade away in a few days.

SUMMARY: Strengthen your core muscle groups. Strengthen your buttocks and legs. Keep your back limber with stretches.

In one sentence, describe what the following article is about: The standard form of a linear equation is Ax+By=C{\displaystyle Ax+By=C}. In this form, A{\displaystyle A}, B{\displaystyle B}, and C{\displaystyle C} are integers, and x{\displaystyle x} and y{\displaystyle y} are the coordinates of a point on the line. For example, you might be given the equation 2x+3y=6{\displaystyle 2x+3y=6}. The x-intercept is the point on the line where the line crosses the x-axis. At this point, the value for y{\displaystyle y} will be 0. So, in order to find the x-intercept, you need to set the y{\displaystyle y} to 0 and solve for x{\displaystyle x}. For example, if you substitute 0 for y{\displaystyle y}, your equation will look like this: 2x+3(0)=6{\displaystyle 2x+3(0)=6}, which simplifies to 2x=6{\displaystyle 2x=6}. To do this, you need to isolate the x variable by dividing both sides of the equation by the coefficient. This will give you the value of x{\displaystyle x} when y=0{\displaystyle y=0}, which is the x-intercept. For example:2x=6{\displaystyle 2x=6}2x2=62{\displaystyle {
rac {2x}{2}}={
rac {6}{2}}}x=3{\displaystyle x=3} Remember that an ordered pair is written in the form (x,y){\displaystyle (x,y)}. For the x-intercept, the value of x{\displaystyle x} will be the value you calculated previously, and the y{\displaystyle y} value will be 0, since y{\displaystyle y} always equals 0 at the x-intercept. For example, for the line 2x+3y=6{\displaystyle 2x+3y=6}, the x-intercept is at the point (3,0){\displaystyle (3,0)}.
Summary: Determine that the equation of the line is in standard form. Plug in 0 for y{\displaystyle y}. Solve for x{\displaystyle x}. Write the ordered pair.

INPUT ARTICLE: Article: (Leaving the peel on the apple is optional.) Next, mix it in and be sure to bind all three ingredients together. Using the back, curved part of a spoon is the easiest way.

SUMMARY:
Puree the apple in a food processor, blender, or any other appliance used to puree food. Add the warm milk, and mix until blended. Add the egg yolk and break it a bit. If you see that your mixture is a bit too runny, add a bit of oatmeal to make it more spreadable. Spread the mixture on your face. Leave on for 10-15 minutes, and wash/rinse it off with warm water. Pat dry with a towel.