Answer:
x = 3.2
Step-by-step explanation:
Since, intercepts made by parallel lines on the transversals are in proportion.
AB = BC.... (given)
From equations (1) & (2)
Therefore,
7x - 9 = 2x + 7
7x - 2x = 9 + 7
5x = 16
x = 16/5
x = 3.2
Hello!
This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.
(x,y)⇒(-y,x)
We will do this to each point and get our final points.
(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)
Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).
I hope this helps!
Answer:
This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.
Step-by-step explanation:
I think the correct answer among the choices presented above is option B. Average is the sum of all the data divided the number of data added. From the statement, we have 3 prices to be added and divided by 3. Therefore, the average is calculated as
<span>($32 + $45 + $39) ÷ 3</span>
Step-by-step explanation:
Explanation:
The trick is to know about the basic idea of sequences and series and also knowing how i cycles.
The powers of i will result in either: i, −1, −i, or 1.
We can regroup i+i2+i3+⋯+i258+i259 into these categories.
We know that i=i5=i9 and so on. The same goes for the other powers of i.
So:
i+i2+i3+⋯+i258+i259
=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)
We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.
=65(i)+65(i2)+65(i3)+64(i4)
From here on out, it's pretty simple. You just evaluate the expression:
=65(i)+65(−1)+65(−i)+64(1)
=65i−65−65i+64
=−65+64
=−1
So,
i+i2+i3+⋯+i258+i259=-1
