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The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ?Solution) If a circle touches the x-axis, its equation is(x-h)^2+(y-k)^2=k^2but it is given that the equation passes thru the point (1,0)=> 1+h^2-2h=0=> h=1,0and also that tha equation passes thru the point (2,3)=> 4+9-4h-6k+h^2=0=> 13-4-6k+1=0=> k=5/3=radiusdiameter = 2(radius)= 10/3
A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t
The area of a parallelogram can be expressed as the binomial 2x 2 - 10x. Which of the following could be the length of the base and the height of the parallelogram? To ?nd out
Simplify following. Suppose that x, y, & z are positive. √ y 7 Solution In this case the exponent (7) is larger than the index (2) and thus the fir
Rajun uses 2/3 of a carton of milk to make a pancake. The volume of milk he uses is 800ml. calculate the volume, in l, of a milk in carton?
what is a variable
what is the difference between North America''s part of the total population and Africa''s part
Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri
In the National Hockey championship, there are 30 independent ice hockey teams. Every of the teams will play 82 official NHL games every year. Many teams will have to travel from t
A pair of mittens has been discounted 12.5%. The original price of the mittens was $10. What is the new price? Find 12.5% of $10 and subtract it from $10. Find out 12.5% of $10
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