Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. combine as indicated by the signs.

x+2/x+4 - x-1/x+6=

answer:

5

x

+

16

(

x

+

4

)

(

x

+

6

)

step-by-step explanation:

to write  

x

+

2

x

+

4

as a fraction with a common denominator, multiply by  

x

+

6

x

+

6

.

x

+

2

x

+

4

⋅

x

+

6

x

+

6

−

x

−

1

x

+

6

to write  

−

x

−

1

x

+

6

as a fraction with a common denominator, multiply by  

x

+

4

x

+

4

.

x

+

2

x

+

4

⋅

x

+

6

x

+

6

−

x

−

1

x

+

6

⋅

x

+

4

x

+

4

write each expression with a common denominator of  

(

x

+

4

)

(

x

+

6

)

, by multiplying each by an appropriate factor of  

1

.

tap for more

(

x

+

2

)

(

x

+

6

)

(

x

+

4

)

(

x

+

6

)

−

(

x

−

1

)

(

x

+

4

)

(

x

+

4

)

(

x

+

6

)

combine the numerators over the common denominator.

(

x

+

2

)

(

x

+

6

)

−

(

x

−

1

)

(

x

+

4

)

(

x

+

4

)

(

x

+

6

)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !