Paul wrote the equation t= 2m + 40 to represent the temperature, t, in degree Celsius, after a substance had been heated for m minutes. Describe the relationship between the temperature of the substance and the time the substance has been heated.

In a right triangle δabc, the length of leg ac = 5 ft and the hypotenuse ab = 13 ft. find: b the length of the angle bisector of angle ∠a.

Determine the lengths of the sides of the rectangle using the given area. give answers both exactly and approximately (to the nearest tenth). the area of the rectangle is 46 cm2.

The graph of the function f(x) = (x + 2)(x + 6) is shown below. which statement about the function is true? the function is positive for all real values of x where x > –4. the function is negative for all real values of x where –6 < x < –2. the function is positive for all real values of x where x < –6 or x > –3. the function is negative for all real values of x where x < –2.