Damian noticed that if he takes the opposite of his age and adds 25 he gets the number 12. How old is Damian? Write an equation and solve

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places