jane works north of her home. her husband Bob works east. they leave for work at the same time. By the time Jane is 7 miles from home, the distance between them is one mile more than Bobs distance from home. How far from home is bob?

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jane works north of her home. her husband Bob works east. they leave for work at the same time. By the time Jane is 7 miles from home, the distance between them is one mile more than Bobs distance from home. How far from home is bob?

Mathematics
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theorem of pythagoras i would say
7^2 + (x)^2 = (x+1)^2
this produces the quadratic \[49 + x ^{2} = x^2 + 2x + 1\]

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Other answers:

x=24
i dont understand quadratics =(
u dont have to in this case as you may simply subtract x^2 from both sides and you get a linear equation in x which is then solved by subtracting one from both sides and dividing by 2
i dont understand any of it =(
pythagoras theorem states \[hypthenuse^2 = adjacent^2 + opposite^2\]
can u see how their movements form a right angled triangle? draw it for urself
i thought it was a +b=c
pythagoras' theorem? no the sides are squared
i dont understand. sorry
start by drawing the problem. mark a dot on the page for their home and then take a line 7 north for janes movement.
now go back to the dot and take a line east for the dot (length doesnt matter) let this line have length x
ok
now mark the positions of mary and bob by a dot. now join those two dots and let the length of this new line be x+1 because the question says the distance between them is one more than how far bob is from home
ok
now can you see the right angled triangle? the hypothenuse (longest side) has length x+1. apply pythagoras theorem to get \[7^2 + (x)^2 = (x+1)^2\]
then solve for x
7x to the 4th = 2x+2?? i dont know what im doing...im far from help
i think you are confused between powers of a number and mulitplication\[(x+1)^2 = (x+1)(x+1) = x^2 +x + x +1 = x^2 +2x +1\]
which is the right hand side, left hand side is just 49 + x^2
omg 49 +2x=2x??
almost \[49+x^2 = x^2 + 2x + 1 \rightarrow 49 = 2x +1 \rightarrow 2x=48 \]
hm
verify the steps yourself to make sure u understand
i dont
49+x times x=(x+1)(x+1)
yes correct
only i dont know how to answer that 49x2=x2+1x+1?
thank you for your help

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