Answer:
(a) Along the xy-plane,
7x + 6y = 0
(b) Along the yz-plan,
2y - 3z = 0
(c) Along the xz-plane,
7x - 3z = 0
Step-by-step explanation:
To describe the given set.
Given the plane (7, 6, -3),
We have the equation as
7x + 6y - 3z = 0
(a) Along the xy-plane, z = 0, and we have
7x + 6y = 0
(b) Along the yz-plan, x = 0, and we have
6y - 3z = 0
Or
2y - 3z = 0
(c) Along the xz-plane, y = 0, and we have
7x - 3z = 0
Answer:
b
Step-by-step explanation:
to prove if NP is tangent to MN
we could prove if NPM is a right triangle
By pythagorean theorem
a^2+b^2=c^2
where a=MN=33
b=NP=180
c=MP=MQ+QP=152+33=185
so
33^2+180^2=185^2
but
1089+32400 is not equal to 34225
33489 is different from 34225
Answer:
47 rounds and Eve wins.
Step-by-step explanation:
If read right, the highest player, (player with the most tokens) has to lose 3 tokens each round, so starting off with Evelyn, 17 - 3 = 14, and the other two each have +1 added to them, so, E=14, A=17 V=16, now subtract three from A (Amelia) and don't forget that one token is always being discarded each round. So the toal number of tokens at the start was 48, (17 + 16 + 15) so right now the total tokens should be 47, which it is. now starting the second round, A gives up 3 tokens so, 17 -3, again equals 14 and each of the two other players get one token, so E=15, A=14 V=17. Now you know the general trend, so we can figure this out seeing that after each round the number of tokens decrease by one, so there will be a round till all tokens are out except one, so there will be 47 rounds and since E started with the highest number they will win.
