Emily prints her pictures so that the width is 2 inches larger than the length. she always puts a 3-inch wide mat around her photos.

write a polynomial equation f(x) which describes the total area of the mat and photo together, where x is the width of the photo.

Emily wants to print a photo so that the total area of the photo and mat together is 143 square inches. by using your equation for part a, determine the width and length of the photo Emily should print.

What basic trigonometric identity would you use to verify that sin x cos x tan x =1-cos^(2)x?

Brook states that the distance on the line is 4 units. caleb states that the whole line does not have a distance because it continues on forever. vivian states that the line is 6 units long. which distance did brook measure? which distance did vivian measure?

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function. how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions