Answer:
Let the distance from home to the park be x
Going to the park
Distance=vt
x=14t¹ ——(1)
Going back home
x=10t² ——(2)
Total time=t¹+t²
2.5=t¹+t²
Solving equ. 1 and 2 simultaneously
10x=140t¹
14x=140t²
Adding
4x=140(t¹+t²)
24x=140(2.5)
x=14.58 miles
Total distance= 2x
= 29.16miles
Step-by-step explanation:
Let x=distance of foot of ladder from the wall, then
x+2=height of top of ladder up the wall.
length of ladder = 16 feet.
Using Pythagoras theorem,
x^2+(x+2)^2=16^2, expand and simplify
2x^2+4x+4 = 256 again simplify
x^2+2x-126=0 [fail to factor]
apply quadratic equation:
x=(-2+/-sqrt(4+504))/2
=-1+/-sqrt(127)
x=-12.3 (rejected) or
x=10.27 feet from wall.
Answer:
3,200
Step-by-step explanation:
