Here's an example...
So, in our last example...
In the point ( -2, -1 ), x1 = -2 and y1 = -1 ... and, in the point ( 4, 3 ), x2 = 3 and y2 = 3
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 3 - ( -1 ) ) / ( 4 - ( -2 ) ) = 4 / 6 = 2 / 3
But, notice something cool...
The order of the points doesn't matter! Let's switch them and see what we get:
In the point ( 4, 3 ), x1 = 4 and y1 = 3 ... and, in the point ( -2, -1 ), x2 = -2 and y2 = -1
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -1 - 3 ) / ( -2 - 4 ) = -4 / -6 = 2 / 3 ... Same thing!
Let's try our new formula with the second example in the last lesson:
It was a line passing through
( -1, 4 ) and ( 2, -2 )
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -2 - 4 ) / ( 2 - ( -1 ) ) = -6 / 3 = -2
First draw an x-y plane and plot the coordinates (−3, 4), (−4, 7), and (−2, 7) for the first triangle. Then, plot the coordinates <span>(−4, −3), (−7, −4), and (−7, −2) for the second triangle. Examine the graph and then identify if it is congruent or not and measure it's rotation.
The answer is C. Yes, the transformation is a 270 degree clockwise rotation. </span>
Did you finish this question? I feel like you're missing something.
The complete question in the attached figure
we know that
[volume of a triangular prism]=[area triangular base]*[length]
[volume <span>of a triangular prism]=[(14.4*2.1)/2]*8.25
</span>[volume of a triangular prism]=124.74 mm³
the answer is 306
Answer:
-1
Step-by-step explanation:
Find the difference of each sequence
19 - 15 = 4
15 - 11 = 4
11 - 7 = 4
7- 3 = 4
3 - ? = 4
Subtract 4 from the 3
3 - 4 = -1
Therefore, the next term is -1
