Branliest alert Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

subtract 12 from the previous term; –243, 729

add 12 to the previous term; 69, 57

multiply the previous term by –3; –243, 729

multiply the previous term by 3; 243, 729

part a: 1.08

part b: 27.59

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)