Answer:
3rd choice
Step-by-step explanation:
the 3rd choice is the same as all of the others just in fraction form .you need to keep fraction form for the statement to still be true
<1, 1, 1> × <1, 0, 1> = <1, 0, -1>
The cross product of the normals of the planes gives the direction vector of their line of intersection.
Alrigty
in form

the vertex is (h,k)
the constant, a, deterimines the size and direction
if a>0, then the parabola opens up and the vertex is the minimum
if a<0 then the parabola opens down and the vertex is the maximum
so we are given

1>0 so it opens up
vertex is (-2,4)
the vertex is a minimum
the vertex is (-2,4) and the graph has a minimum
Answer:4.5
Step-by-step explanation:
10 1/2÷2 1/3
Let L be the low copper alloy and H be the high copper alloy.
We need 0.15L + 0.60H = 0.42 and L + H = 100
L=100 - H
Substituting this into the second equation for L, we get:
0.15(100-H) + 0.60H = 0.42(H+L)
15 - 0.15H + 0.60H = 0.42(H+100-H)
15 + 0.45H = 0.42(100)
0.45H = 42 - 15 = 27
H = 27/.45 = 60 lbs
Back substitution, L = 40 lbs.