Determine whether the biconditional statement is true or false. If false, give a counterexample. The number k is a positive integer if and only if 5k is a natural number.

A. true
B. false; 5k = 1, then k = −1/5, which is not a positive integer
C. false; 5k = 25, then k = 5 which is not a positive integer
D. false; 5k = 1, then k = 1/5, which is not a positive integer

where is the diagram? shown below where? ?

step-by-step explanation:

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)

c(x)= 6x + 3

step-by-step explanation: