Answer:
3^6
Step-by-step explanation:
3^8 * 3^-2
3^(8-2)
3^6
Slope is rise/run or y2-y1/x2-x1. So to find the slope, find two points where the point is exact, then do the equation. That's the best I can explain, sorry if this doesn't help at all.
Answer:
Solution : 8i
Step-by-step explanation:
We can use the trivial identities cos(π / 2) = 0, and sin(π / 2) = 1 to solve this problem. Let's substitute,
![8\left[cos\left(\frac{\pi }{2}\right)+isin\left(\frac{\pi \:}{2}\right)\right]](https://tex.z-dn.net/?f=8%5Cleft%5Bcos%5Cleft%28%5Cfrac%7B%5Cpi%20%7D%7B2%7D%5Cright%29%2Bisin%5Cleft%28%5Cfrac%7B%5Cpi%20%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
= 
And of course 1i = i, so we have the expression 8(0 + i ). Distributing the " 8, " 8( 0 ) = 0, and 8(i) = 8i, making the fourth answer the correct solution.
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
Step-by-step explanation:
You're given that ΔUVW is similar to ΔYZW. The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.
The triangles share point W, so visually rotate one triangle around W until the two triangles align. That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.
Now you can find the scale:
VW / YW = 5/12
And you can write a proportion to find x:
UW / ZW = VW / YW
x / 64 = 5 / 12
x = 26 ⅔
