LOTS OF POINTS It’s starting to get colder at night, so Sam decides to remove the goldfish from the pond in his backyard. He tries to catch the fish with a net; however, even though he can clearly see the fish in the water, he misses it. He infers that he missed because the light is being refracted. What is causing the refraction?

1: The air and the water are different colours.
2: The air and the water have different densities (and media).
3: The water is reflecting the light.
4: The air is reflecting the light.

EXPLAIN YOUR ANSWER

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Point a (7,3) is translated to a'(16,-9). which rule describes the translation?

Which of the following statements is true? a. sin 18° = cos 72° b. sin 55° = cos 55° с. sin 72° = cos 18° d. bоth a and c.