In the diagram, points e, a, and b are collinear and the areas of square abcd and right triangle ead are equal. what are the coordinates of a?

a. (-7.5, 3)

b. (-8, 4)

c. (-9, 6)

d. (-8.5, 5)

e. (-6, 5)

(-8,4)

Step-by-step explanation:

Given in the picture is a right triangle and a square sharing one commonside

Area of triangle = area of square

ie (is s is one side of square)

i.e. b = 2s where b = EA

In other words A divides line EB in the ratio 2:1

Using section formula

Coordinates of A=

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2