75 mi. East, 70 mi. South, 110 mi.West.
Overall, she drove 110-75= 35 mi. West since east & west are opposite directions.
And 70 mi. South.
In a Pythagorean theorem problem, legs are 35 & 70. And hypotenuse is her diagonal distance from where she started
35^2 + 70^2 = c^2
1225 + 4900 = c^2
6125 = c^2
78.3=c
Step-by-step explanation:




Answer:
Page 1: 2u - 3v = < -7, 1 >
Page 2: < -7, 9 >
Step-by-step explanation:
Page 1: Given u and v, we need 2u - 3v. With vectors, you can multiply both terms by any scalar (the coefficient, i.e. 2u, the 2 is the scalar)
2u = 2<1, 2> = <2, 4>
3v = 3<3, 1> = <9, 3>
So 2u - 3v = <2, 4> - <9, 3> = <2 - 9, 4 - 3> = <-7, 1>
Page 2: The same steps apply, but when you see i and j, the coefficient of the i term is the x value, and the coefficient of the j term is the y value, so
3u - 2v = 3< 1, 1> - 2<5, -3> = <3, 3> - <10, -6> = <3 - 10, 3 - (-6)> = <-7, 9>
Answer:
Even
Divisible by 2
2x=y
.5y=x
Step-by-step explanation: