Which of the following terms is defined as the length of the adjacent leg divided by the length of the opposite leg? a. tangent b. cotangent c. law of sines d. law of cosines e. cosecant

A. Tangent

(You might have read this in my previous answer, but I will reiterate in a shorter form for any viewers using this as a reference).

For future questions, use the mnemonic device SOH CAH TOA.

Sin. = Opposite over hypotenuse

Cos. = Adjacent over hypotenuse

Tan. = Opposite over adjacent

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.