the equation of line r is y=1/5x-4. line s includes the point (5,6) and is parallel to line r. what is the equation of line s?

y = 1/5x + 5

Step-by-step explanation:

y = 1/5x - 4

Gradient of line r = 1/5

Gradient of s = 1/5,since s and r are parallel:

Equation of line s is:

y - 6 = 1/5(x - 5)

y - 6 = 1/5x - 1

y = 1/5x + 5

4 + 5 7/9= 9 7/9

step-by-step explanation:

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