Alex is constructing a square in which two of its vertices are points x and y. he has already used his straightedge and compass to construct the lines and arcs shown. what should alex do for his next step? a. use a straightedge to draw a horizontal line that contains point z. b. place the point of the compass on point x and draw any arc above it. c. use a straightedge to draw xz¯¯¯¯¯ . d. place the point of the compass on point y and draw an arc that intersects yz¯¯¯¯¯ , using xy as the width of the opening of the compass.

Apolynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. if the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Use the graph of the sine function y=2sinθ shown below