10. Write an expression in simplified form to
represent the area of the trapezoid.

48y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = × 4 × (9x²y + 15x²y )

   = 2 × 24x²y

   = 48y

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