We are given
x1 = 10 ft
y1 = 14 ft
x2 = 13 ft
y2 = 9 ft
We are asked to find the distance between the base of the house to the closest treetop.
So,
d1 = √(10² + 14²) = 17.20
d2 √(13² + 9²) = 15.81
The distance is 15.81 ft to the closest treetop which is the tree 13 feet from the base of the house.
Equation 1. N+D=500
equation 2 5N+10D=3000
This is for equation 1
N=500-d
Substitute into equations 2 and solve for D
5N+10D=3000
5(500-D)+10D=3000
2500-5D+10D=3000
5D=500
D=100
Lets go back the equation 1
N=500-D
N=500-100
N=400
there are 400 Nickles and 100 Dimes
I also think its 4 but im not sure