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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?
Find the slope of the line through the points (0, 4) and (5, 0)
Please solve for the following: Find both the x intercept and the y intercept of the line given by the equation 6x + 7y + 11 = 0.
Ellen wishes to mix candy worth $1.80 per pound with candy worth $2.40 per pound to form 48 pounds of a mixture worth $2.00 per pound. How many pounds of the more expensive candy should she use?
Fundamental theorem of calculus.
use the sets provided to draw a venn diagram illistrating the relationship amoung the sets
name the property of real numbers
Explain the difference between a zero slope and undefined slope - Write the solution set using interval notation and graph the solution set on a number line
It's time to go shopping! You grab your Best Purchase credit card, which has an annual interest rate of 18%. The unpaid balance on your card for the current billing cycle is $285.76.
Find value of b.
A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total items, how many of each do they need?
Evaluating the value.
Solve the problem graphically. Be sure to check your solution. 4y = x + 4x = y + 2
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