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max2010maxim [7]
3 years ago
11

Brenda is taking a 160-mile trip by car. If she drives for 2 hours with an average speed of 60 miles per hour, how many miles wi

ll she still need to drive to complete her trip?
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0
40 more miles because 60 MPH driving 2hrs equals 120mi
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Find the sum
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Answer:

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2)   factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a))     factor denominators

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= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a))   expand

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= 2/(b+a)(b^2+a^2)/((b+a)(b-a))  simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

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