Mathematics, 18.07.2019 02:30 bren27

Really need some use the diagram below. write ad/ab in simplest form.

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_____________________________________________________
Question # 1) from first graph:
_____________________________________________________
The answer is: " 3 " .
_____________________________________________________

→   $\frac{AD}{AB}$ ; in  "simplest form" , is:  " 3 " .

_____________________________________________________
Question #2)  from second graph:
_____________________________________________________
The answer is: " 4 " .
_____________________________________________________ → " (the slope of BE) over (the slope of AE) " ;

   that is:  " (the slope of BE) / (the slope of AE) " ;

in "simplest form" ,  is: " 4 " .
_____________________________________________________

Explanation:
_____________________________________________________
For Question #1)

AD = 9 units (counted from the "attached graph").

AB = 3 units (counted from the "attached graph").
_____________________________________________________
We are asked to write: "AD over AB" ; in "simplest form" ;

→ AD/AB = " 9/3 " = " (9÷3) / (3÷3) " = "(3/1)" = " 3 ÷ 1 " = 3 .
_____________________________________________________
→ The answer is: " 3 " .
_____________________________________________________ →  "AD over AB" ; in "simplest form" ; is: " 3 " .
_____________________________________________________
→ AD/AB = " 3 " .
_____________________________________________________

Question 2): From second graph:
_____________________________________________________
Find the: " (slope of BE) / (slope of AE) " ; in "simplest form" :

From examination of the "second graph attached" :
_____________________________________________________
The "slope of BE" = rise/ run = 5/1 .

The "slope of AE" = rise/ run = 5/4 .
_____________________________________________________

So: "(the slope of BE) / (the slope of AE) ;

= (5/1) / (5/4) ;


= $\frac{5}{1}$ ÷ $\frac{5}{4}$ ;

→ To divide a fraction, you multiply the "reciprocal of the fraction; as follows:

= $\frac{5}{1}$ * $\frac{4}{5}$ ;

→ Both " 5 's " cancel out to " 1 "; since: "{5 ÷ 5 = 1 }" ;

→ And we can rewrite as:

= $\frac{1}{1}$ * $\frac{4}{1}$ ;

___________________________________________________________

= 1 * 4 ;

= " 4 " .
___________________________________________________________
→ The answer is: " 4 " .
___________________________________________________________ → "AD over AE" ; in "simplest form" ; is: " 4 " .
___________________________________________________________

Answer from: Quest

24 is the correct answer.

Answer from: Quest

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

=3x+1

=3(2)+1

since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

=x+1

=2+1

now, let's find g(2)g(2):

g(x)

g(2)

=2x

=2⋅2

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

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Really need some use the diagram below. write ad/ab in simplest form....

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