Agraphic designer creates letters for wall art by first graphing the letters as polygons in the coordinate plane. one of the letters is polygon m n o p q r s t u v with vertices m (2,1) n 2,9, o 7,9. p 7,7. q 4,7. r 4,6. s6,6, t 6,4, u 4,4. v 4,1. each grid is 1 inch.

a. graph coordinates, connect to form a letter
b. outline letter and determine how many inches of tape are needed
c. how much space does the letter cover on the wall?
see how did you find your answer to see? use the name (s) of the shapes and

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

step-by-step explanation: