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(a) Consider the circle that has its center at the point (2, -3) and passes through the point (5, -1). Find the radius of this circle, and find the point-slope and slope-intercept forms of the equation of the line which is tangent to this circle at the point (5, -1). In your solution, use only algebra and the fact that a line which is tangent to a circle is perpendicular to the line that passes through the center of the circle and the point of tangency.
(b) Do the same for a circle that has its center at the point (h, k) and passes through the point (x_0, y_0), where h, k, x_0, y_0 are real numbers such that the conditions h = x_0 and k = y_0 are not both satisfied.
(c) In part (b) above, why do we specify that the conditions h = x_0 and k = y_0 are not both satisfied?
Compute the domain of the logarithmic function.
One of the often misunderstood concept in math is divisibility. Divisibility is different from the operation division. The Solution describes 7 key properties of divisibility and proves them mathematically as why they are true.
Find the number of all 20-digit integers in which NO two consecutive digits are the same
Find the maximize size
"I have seventy five coins in my pocket made up of quarters and dimes. If the total value of the coins is $12.45, how many of each coin do I have?"
determine whether g(x)= 1/ [f(x)-1] is increasing or decreasing. Justify your answer. Let h be a differentiable function such that h'(x)
Use radical notation to rewrite the expression.1/2 (small 1/2 just above and to the right of 16)16 =16 1/2 (small 1/2 just above and to the right of 16) =
Algebraic expression by multiplication rule.
Group of homomorphism of normal subgroup is normal.
Sketch the shape of the expected function of y on your graph paper. Remember, your plot must go through the points in (5) and (6) plus any zeroes without crossing any asymptotes
what is the expression in index forum for the following questions
a camp director expects 100 children to enroll at 350.00 but by giving a 20 decrease in price he expects 10 more to
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