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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
Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi
We will look at three types of progressions called Arithmetic, Geometric and Harmonic Progression. Before we start looking at the intricacies of these let us unders
apzza driver delivered 27 pizzas in one night he delivered more then one pizza to only one house . every other hhouse he only delivered pizza to 18 houses . how many pizzas did he
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what is -6.4 as a fraction?
A 10 m ladder of 150N is placed at an angle 30degrees to a smooth wall at point A and the other end (point B) on the ground. Assume that the weight of the ladder acts at its mid po
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What is the slope and y intercept for (6,5) (-3,8)
If 3/5=5,4/7=8,8/7=6 then, what should 9/6 be ?
if you have 1/5 of a candy bar and 4 friends how much will they get
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