The answer to this question is 5/6
Okay, so first you draw a picture and let x be the distance from point D to the rest stop. Then the distance from point to the rest stop is 8 - x
You know that the length of the new trail is y + z, where y is the distance from Ancaster to the rest stop and z is the distance from Dundas to the rest stop.
Now by the Pythagorean theorem, y^2 = 4^2 + x^2 and z^2 = 6^2 + (8 - x) ^2
So take square roots of these, add them, and minimize.
Note: I am assuming the path is perfectly straight, otherwise this approach fails.
Answer:
X = 1
Step-by-step explanation:
subtract 14 from both sides
6x = 6
divide both sides by 7
X = 1
I think the correct answer is 63 because 41 of 65 is 63.08 rounded to the nearest percent is 63
Answer:
(a) (2, -2)
(b) 2.5 miles
Step-by-step explanation:
(a) The distance from Olivia's house (-5, 5) to the market (-5, -5) is the distance from 5 to -5 on the line x=-5. That distance is 5 -(-5) = 10 units.
The distance from Jen's house to the theater is half this, or 5 units. The theater is "directly below" Jen's house, so will have the same x-coordinate, and a y-coordinate that is 5 units less than that of Jen's house. The theater is located at ...
... (2, 3) -(0, 5) = (2, -2) . . . . theater location
(b) The 5 units from Jen's house to the theater represent a distance of ...
... 5 × (1/2 mile) = 5/2 miles = 2.5 miles
