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Natasha_Volkova [10]
2 years ago
14

MATH IS HARD. HELP Change the following into a single fraction: 1− (a+b/a−b)

Mathematics
1 answer:
lianna [129]2 years ago
6 0

Answer:

-2b/(a-b)

Step-by-step explanation:

1− (a+b/a−b)


We need to get a common denominator of a-b

1 = (a-b)/(a-b)

Replace 1 with (a-b)/(a-b)

(a-b)/(a-b) - (a+b)/(a-b)

Put over the common denominator

(a-b) - (a+b)

-----------------

(a-b)


Distribute the minus sign.

(a-b) - a-b)

-----------------

(a-b)

a-a-b-b

---------------

a-b


-2b

----------

a-b

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\because \: time \times speed  = distance \\  \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \:  \{2(t + 3) \}^{2} =  {9}^{2}  \\  \therefore \:  \{2(t + 3) \} =  {9}   \\  \therefore \: t + 3 =  \frac{9}{2}  \\ \therefore \: t  =  \frac{9}{2}  - 3 \\  \therefore \: t  =  \frac{9 - 6}{2}  \\  \therefore \: t  =  \frac{3}{2}  \\ \therefore \: t  =  1.5 \: hrs  \\ speed \: of \: car = 10(t + 3) \\ \hspace{60 pt} = 10(1.5 + 3) \\   \hspace{60 pt}= 10 \times 4.5 \\ \red{ \boxed{ \bold{ \therefore \: speed \: of \: car  = 45 \:km/ h}}} \\

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