the midpoint of ab is m(-1,-4). if the coordinates of a are (-3,-7), what are
the coordinates of b?

B(-1, -1)

Step-by-step explanation:

Let the coordinates of point B B be x and y.

(-3 + x)/2 = -1

-3 + x = -2

x = 1

(-7 + y)/2 = -4

-7 + y = -8

y = -1

B(-1, -1)

just sum

10 + 10 = 20

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