If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3

-- (a)

-- (b)

--- (c)

-- (d)

Step-by-step explanation:

Given

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

This formula will be applied in solving these questions.

Substitute 4/3 for m

Express as a proper division

Convert to *

Substitute 3/7 for m

Express as a proper division

Convert to *

Substitute 4 for m

Substitute 1/3 for m

Express as a proper division

Convert to *

bull

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