Will ran the longest
He ran for 56.57 yards, 13.56 yards longer than James.
Step-by-step explanation:
Step 1 :
Will ran the diagonal across a square field measuring 40 yards in each side.
The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]
Hence when the side is 40 yards , the diagonal would be

So Will ran for 56.57 yards
Step 2 :
James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.
The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.
Hence when the length is 25 yards and width is 35 , the diagonal would be
yards
So James ran for 43.01 yards
Step 3 :
Will ran for 56.57 yards and 43.01 yards.
Hence Will ran for longer distance of 56.57 yards, which is 13.56 yards more than James.
It looks like your instructor wants you to write in point-slope form.
the equation for point slope form is quite simple
y-y1=m(x-x1)
your variables:
y and x: just state these as they are
m: slope
y1 and x1: the numbers in the point given
keep in mind a double negative equals a positive, so when you come across a negative coordinate you would put + instead of - in your equation.
your final answer would be
y+2=-2(x-4)
I hope this helped :)
please don't hesitate to ask if you have any more questions
Answer:

Step-by-step explanation:
step 1
In the right triangle ABC
Applying the Pythagoras Theorem fin the hypotenuse AC

substitute



step 2
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so

substitute and solve for CE

step 3
Find the length of segment AE
AE=AC+CE
substitute the values
