Answer:
120.75 miles apart
Step-by-step explanation:
By the Pythagorean Theorem, the hypotenuse squared is equal to the sum of the sides squared...
h^2=x^2+y^2
We are told that y=x+20 and h=24 so
x^2+(x+20)^2=24^2
x^2+x^2+40x+400=576
2x^2+40x+400=576
2x^2+40x=176
x^2+20x=88
x^2+20x+100=188
(x+10)^2=188
x+10=±√188
x=-10±√188, x>0 so
x=-10+√188 ft
y=10+√188 ft
If you want approximations...
x≈3.71 ft
y≈23.71 ft
Answer:
(2/3, 13/3) (Exactly one solution)
Step-by-step explanation:
Write these equations in a column:
x+y=5
2x-y=-3
Note that we can eliminate y immediately by adding these two equations together. We get:
3x = 2, so that x = 2/3.
Substituting 2/3 for x in the first equation, we get:
2/3 + y = 5. Clear out fractions by multiplying all three terms by 3:
2 + 3y = 15, or 3y = 13. Then y = 13/3, and the solution is
(2/3, 13/3) There is exactly one solution.
Answer:
7.1
Step-by-step explanation:
write pythagorean theorem + =
2 = 100
divide 2 both side:
= 50
=
=
= 7.07106781
round to nearest tenth:
= 7.1