<u><em>Answer:</em></u>
14 miles
<u><em>Explanation:</em></u>
<u>The relation that will be used to solve this problem is:</u>
<u>which can be rewritten as:</u>
<u>Assume that:</u>
Distance from your house to your friend's house is d
Time taken from your house to your friend's house is t₁
Time taken from your friends house to your house is t₂
<u>1- From your house to your friend's house:</u>
Average rate = 35 miles/hour
<u>Therefore:</u>
<u>2- From your friend's house to your house:</u>
Average rate = 40 miles per hour
<u>Therefore:</u>
<u>3- Round trip:</u>
We know that the round trip took 45 minutes which is equivalent to 0.75 hours
<u>This means that:</u>
t₁ + t₂ = 0.75 hours
Hope this helps :)
Answer:
7/1; 4/2=2;8/1
7 is rational number because 7/1 = 7
8 = 4 x 2 = 4/1 x 2/1 and both rational.
The answer is B. Your welcome
Answer:
it is 12
Step-by-step explanation:
Answer: x - 5/x + 1
Step-by-step explanation:
This algebraic fraction
The task to be performed here is factorisation and simplification. Now going by the question,
x² + 4x - 45/x² + 10x + 9, the factorisation of
x² + 4x - 45 = x² + 9x - 5x - 45
= x(x + 9 ) - 5(x + 9 )
= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator
The second part
x² + 10x + 9 = x² + x + 9x + 9
= x(x + 1) + 9( x + 1 )
= ( x + 9 )( x + 1 ), this is the algebraic denominator.
Now place the second expression which is the denominator under the first expression which is the numerator.
( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).
You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with
x - 5/x + 1
