Solve 2x + 5y = 1 for x

In right triangle ABC, BC = 6, AC = 8, and AB = 10. If CD is the median of the triangle, determine the perimeter of ACD.

sin((pi/2) - theta) = to the cosine of what angle?

At what point (x,y) does the line through (-1,-2) and (3,1) cross the x-axis?

The expression shown can be written as a single rational number. Given the expression shown, determine exactly that rational number.

Write the linear equality that corresponds with the graph shown:

Calculate the volume of pyramid GIZA, where G is (2,1), I is (0,8), Z is (-5,1) and A is 6 units above the xy-plane. (Hint: imagine the xy-plane as on a table, and A as 6 above that table)

sin((pi/2) - a) = to the cosine of what angle?

Determine exactly the length of the radius of the circle x^2 - 3x + y^2 + y - 2 = 0

In the figure shown (1-2), AB is perpendicular to CD and PQ is a transversal. the angle BPQ is 2x and DQP is 5x - 51. Determine the measure angle of APQ.

Brad’s father is three times as old as Brad. In ten years, Brad's Father will only be two times as old as Brad. How old is Brad currently?

Given the values in the figure, find X

Given that tanx = (a/b) where b is not 0 and x is in the third quadrant, express sin(2x) in terms of a and b.

A circle centered at (1, sqrt(3)) is tangent to the equation x = 0. Write the equation of the other line that passes through the origin and is tangent to the circle.

A line segment drawn from the origin to the point (m,n) in the fourth quadrant makes an angle theta with the positive x-axis. express sin(theta) in terms of m and n.

If a clock shows 8:00 right now, determine how many minutes it will take for both hands to point in the same direction for the first time.

Triangle FGH has side lengths f = 7, g = 10, h = 13. Angle bisector HJ and Median FK are drawn, intersecting at point P. Determine the ratio of HP : PJ.

if sin(a) = 2cos(a), determine exactly the values of sec(2a).

Find the intersection points of the curves x^2 - 3x + y^2 + y - 2 = 0, and x^2 - 6x + y^2 - 8y + 16 = 0.

Let x1 and x2 be the solutions to x^2 - 20x + 13 = 0. Determine 1/(x1) + 1/(x2) exactly

Uncle Joe picked 60 pounds of mushrooms in the forest. When picked, the mushrooms had 40 percent water by weight. Joe let them dry, so the water weight became 5 percent of the total weight. What is the new total weight of the mushrooms?

In iscosceles ABC, AC = AB = 32 and angle trisectors AD and AE each have a length of 30. Determine exactly the length of BC.

Given that tanx = a/b and a^2 - b^2 = 3, determine what tan(4x) is in terms of a and b.

A line passes through the origin and two externally tangent circles. If one of the circle's equations is x^2 - 6x + y^2 - 4y = 0, determine exactly the coordinates of the center of the other circle.