Which of the tables represents a function?

table a
input output
8 −9
8 −8
10 −8
table b
input output
4 11
7 12
7 13
table c
input output
−4 0
−3 3
−2 5
table d
input output
10 0
10 4
3 7

table a
table b
table c
table d

The correct option is 3. Table C represents a function.

Step-by-step explanation:

If in a relation, for each input there exist a unique output, then the relation is called function.

It means for each value of x, there exist a unique value of y.

In table A, the values of function are -9 and -8 at x=8.

Since there exist more than one value of y for single value of x, therefore Table A does not represent a function.

In table B, the values of function are 12 and 13 at x=7.

Since there exist more than one value of y for single value of x, therefore Table B does not represent a function.

In table D, the values of function are 0 and 4 at x=10.

Since there exist more than one value of y for single value of x, therefore Table D does not represent a function.

Only Table C represents a function. Option 3 is correct.

jml angle lkj & angle mj = lm

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)