Drag each equation to the correct location on the image. Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their roots.
x2 − 4x + 2 = 05x2 − 2x + 3 = 02x2 + x − 6 = 013x2 − 4 = 0x2 − 6x + 9 = 0x2 − 8x + 16 = 04x2 + 11 = 0

y= -2x+4, have a great day

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

the answer is $4.45. i started by figuring out the cost of the plates and napkins. the easiest way to figure this cost out is through the tax. we know the way they found the tax is by multiplying the cost of non-food items by the tax rate (5% or 0.5). so, all we have to do to find the cost before tax is set up an equation and work this formula backwards. the equation is 0.19=0.05x where x is the cost of the plates and napkins. now all you do is divide both sides by 0.05 to come up with 3.8=x. now that we know the cost of the plates and napkins is $3.80, all we have to do is subtract this cost from the total cost of $8.25 giving us the cost of the watermelon which is $4.45.