anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
theorem of pythagoras i would say
anonymous
  • anonymous
7^2 + (x)^2 = (x+1)^2
anonymous
  • anonymous
this produces the quadratic \[49 + x ^{2} = x^2 + 2x + 1\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.