Write an exponential function y=ab^x whose graph passes through the points (1,3) and (2,12)

y = ?

y=3/4(4)^x

Step-by-step explanation:

hello :

the graph passes through the point (1,3) : when x=1  and  y=3  : 3= ab^1

the graph passes through the point (2,12) : when x=2  and  y=12  : 12= ab^2

so the system :  ab=3 ...(*)

                         ab² =12..(**)

ab² = b(ab) = 12   but : ab=3    so : (**) equivalent to     b(3)=12   b=12/3=4

now : ab= 3 and b=4    so : 4a=3  ... a=3/4

y=3/4(4)^x

dude thats to long figure it

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.