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

$x=\frac{3}{4}$

step-by-step explanation:

we are given

$-6+2x=6x-9$

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

$-6+2x-2x=6x-9-2x$

$-6=4x-9$

add both sides by 9

$-6+9=4x-9+9$

$3=4x$

divide both sides by 4

we get

$x=\frac{3}{4}$

Answer from: Quest

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

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