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The line 4x-3y=-12 is tangent at the point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1). find the equation of the circle. solution) well you could first find the radius at (3,-4) since it is perpendicular to the tangentthat''s using two-points form: (for (0,0) and (3,-4) )y + 4 = [(-4 -0) / (3 - 0 )]* (x - 3)or, 3y + 12 = -4x + 12or, y = (-4/3) xlet m be the slope of the tangent, then:m * -4/3 = -1or, m = 3/4thus you use the equation:y - y, = m (x - x,)or, y + 4 = 3/4 (x - 3)or, 4y + 16 = 3x - 9or, 3x - 4y - 25 = 0that''s the slope you needof course, if you wanted to do it the shorter way, you could always use the formula:ax + by = r^2where (a,b) is the point (3,-4) and r is the radius squared, as in the circle''s equation x^2+y^2 = r^2, which is 25
how would I graph the equation 2x-5y=5?
Example Sketch the graph of following f( x ) = 2x and g( x ) = ( 1 /2) x Solution Let's firstly make a table of values for these two functions. Following is
In this section we will be looking exclusively at linear second order differential equations. The most common linear second order differential equation is in the type. p (t ) y
Hi need a help for marketing strategic assignment Could you able to help me???
Carmen bought 3 pounds of bananas for $1.08. June paid for her purchase of bananas. If they paid the same price per pound, how many pounds did June buy?
HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b
Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem. Just solve for y to
condition for linearly independent
A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs
Exponential smoothing It is a weighted moving average technique, this is described by: New forecast = Old forecast + a (Latest Observation - Old forecast) Whereas a = Sm
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