Which equation is quadratic in form? 2(x + 5)2 + 8x + 5 + 6 = 0 x6 + 6x4 + 8 = 0 7x6 + 36x3 + 5 = 0 4x9 + 20x3 + 25 = 0

the equation that is quadratic in form among the listed equations is

which is the first equation on the list.   a quadratic equation is an equation   of degree 2, meaning that the highest order in the terms is , where is a constant.

to show clearly that this equation is quadratic, we have to expand the equation and show that in it's simplest form, the highest power in the equation is 2. the equation is expanded and simplified as shown below,

the highest power in the equation is 2. this confirms that this equation is quadratic in form. below i discus why the other equations are not quadratic in form.

the second equation is not quadratic because the highest power in the equation is 6. the third equation is an equation   of degree 6 so it can not be quadratic.   the 4th equation , is not quadratic because the highest power in the equation is 9.

clearly, the only quadratic equation in the list of equations is

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.