Find the midpoint of the line segment whose end points are (0,1/2) and (0,3/4)

The midpoint is 0,5/8

Step-by-step explanation:

The formula for midpoint is (x1+x2)/2 , (y1+y2)/2

                                              (0+0)/2  , (1/2 + 3/4) /2

Lets get a common denominator  of 4

1/2 *2/2 + 3/4 = 2/4 + 3/4 = 5/4

5/4 ÷ 2

Copy dot flip

5/4 * 1/2

5/8

The midpoint is 0,5/8

c is the final : )

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