Solve n^2-6n=72 by completing the square

-6 & 12

Step-by-step explanation:

[n² - 2(n)(3) + 3²] - 3² = 72

(n-3)² - 9 = 72

(n-3)² = 81

(n-3) = +/- 9

n-3 = 9 n = 12

n-3 = -9 n = -6

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

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 .