Seismic waves
Step-by-step explanation:
An earthquake releases energy as shock waves, the so-called seismic waves, which ripple across the earth's surface. The seismic waves created as they move from the epicentre an earthquake vary.
(from Google)
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
Remark
It is not a straight line distance from the park to the mall. None of the answers give you that result. And if you know what displacement is, none of the answers are really displacement either. The distance is sort of a "as the crow flies." distance. There's a stop off in the middle of town.
Method
You need to use the Pythagorean Formula twice -- once from the park to the city Center and once from the city center to the mall.
Distance from the Park to the city center.
a = 3 [distance east]
b = 4 [distance south]
c = ??
c^2 = 3^2 + 4^2 Take the square root of both sides.
c = sqrt(3^2 + 4^2)
c = sqrt(9 + 16) Add
c = sqrt(25)
c = 5
So the distance from the park to the city center is 5 miles
Distance from City center to the mall
a = 2 miles [distance east]
b = 2 miles [distance north]
c = ??
c^2 = a^2 + b^2 Substitute
c^2 = 2^2 + 2^2 Expand this.
c^2 = 4 + 4
c^2 = 8 Take the square root of both sides.
sqrt(c^2) = sqrt(8)
c = sqrt(8) This is the result
c = 2.8
Answer
Total distance = 5 + 2.8 = 7.8
Answer:
All you have to do is find out the answer on your own buddy.
Step-by-step explanation:
Answer:
Step-by-step explanation:
6f^2 - 9f + 10 + 2f^2 + f - 3
8f^2 - 8f + 7