Write the value of the discriminant and describe the nature of its roots in the space below. 1. x^2+8x+12=0
discriminant:, nature of roots:,
2.4x^2+3x+3=0
discriminant:. nature of roots:,
3.4x^2+12x+9=0
discriminant:, nature of roots:,
4.2x^2+1=5
discriminant, nature of roots,
5,x^2=5x+4
discriminant, nature of roots,

18

step-by-step explanation:

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

a and c

step-by-step explanation: