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Straight Line Circle
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Ab Circle Pro - Exercises To Tone Abs
After having done with your losing weight program, you should look for a style of exercises and workouts that could help you flatten your abs. Having a ramp model look is quite rewarding. There are a lot of exercises to tone abs, here are some of them:
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1. Try bicycle exercises: Simply relax on your back with your hand behind your head. Try lifting your shoulders off the floor and bringing your knees up towards your chest. Stretch one leg to a forty-five degree angle while turning your upper body towards the opposite side, bringing the elbow towards the knee. Repeat this on the other side and complete twelve to sixteen times. This is one best exercise to tone abs quickly.
2. Try barbell rollout: On the floor kneel and grab a barbell in an overhand grip. The hands should be exactly shoulder width apart, with your shoulder over the barbell. Keeping you back flat, try to roll the bar forward as far as you can get. Right after you had pushed it, contracts your abs and rolls the bar back into its proper position. You can do this kind of exercises to tone abs ten times.
3. Try side stretches: Try to relax on your side, resting your weight on your forearm. Then slowly raise your body off the floor, support it with your elbow and foot, to form a straight line from your shoulders to your ankle. Wait for a few second before lowering yourself and doing the same on the other side of your body.
4. Try chair exercises: On a chair stand and grip the arm rests. Relax your back against the rear of the chair, stretching your abdominal muscles in order to raise your legs, lifting your knees towards your chest and keeping your back straight. Repeat this style of exercises to tone abs twelve to sixteen times.
All of these exercises is beneficial to keep your muscles and abs flat. So just be patient and determined to set your goal for you to achieve a healthy and trim body. Combine it with a well balanced diet, enough water, enough rest and I am so sure you will be able to get the body beautiful you're dreaming of. Good luck!
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About the Author
This author writes about Workouts For Love Handles and Ab Circle Pro.
For what values of k is the straight line y=kx + 1 a tangent to the circle with center (5,1) and radius 3 ?
please show all your work. this is my calculus homework and my mind doesn't seem to be functioning properly right now. any help would be appreciated. thank-you
Since this is calculus homework, I show you how to do the problem with calculus.
The equation of the circle:
(x-5)^2 + (y-1)^2 = 9
Differentiate with respect to x,
2(x-5) + 2(y-1)y' = 0
y' = -(x-5)/(y-1) = (5-x)/(kx) = k
=> 5-x = k^2 x =>x = 5/(1+k^2), y-1 = 5k = 5k/(1+k^2)
Plug x = 5/(1+k^2), y-1 = 5k = 5k/(1+k^2) into the equation of the circle,
25k^4/(1+k^2) ^2 + 25k^2/(1+k^2)^2 = 9
Simplify,
25(k^2+1) = 9(1+k^2) ^2
Cancel 1+k^2 from both sides,
25k^2 = 9 + 9k^2
k^2 = 9/16
k = ±3/4
after- straight line+hatching+circle