Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=19AC=19 and DC=4,DC=4, what is the length of \overline{BC} BC in simplest radical form? (Note: the figure is not drawn to scale.)

Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month. create a scatter plot that represents the data that is shown in the table. the x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars. name beginning balance (in thousands of dollars) change in savings account (in hundreds of dollars) jimmy 5 3 kendra 4 7 carlos 5 4 yolanda 3 1 shawn 2 5 laura 3 2 andy 5 6 georgia 4 3

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

What value is a discontinuity of x squared plus 8 x plus 4, all over x squared minus x minus 6?