Let o be the center of a circle with radius 4. suppose that dl and dq are tangent to circle o at points l and q respectively. if dl = 3, find the area of quadrilateral dloq.

Triangles DLO and DQO are right triangles, each with one leg of length 3 (the tangent length) and one leg of length 4 (the radius). Since the area of each of these triangles is half the product of the leg lengths, their area together is the product of the leg lengths:

... (3 units)×(4 units) = 12 square units

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

the radius is 2 times the diameter.

step-by-step explanation: