Answer:
Step-by-step explanation:
The nth term of the given arithmetic sequence is
The first term of this series is:
The last term of this series is when
The sum of the first n terms of an arithmetic series when the first an last term is known is given by:
Where a=5 is the first term and l=27 is the last term.
Treat ast fraction
96/132
divide by 2,3,5,7 or factors starting from 2
96/2=48
132/2=66
48/66
divide 2
48/2=24
66/2=33
24/33
divide 3 since cannot divide 33 by 2
24/3=8
33/3=11
8/11
8:11
answer is 8:11
Answer:
- Dilation
- Reflection
- Translation
- Rotation
- Reflection
- Translation
Step-by-step explanation:
<em>Dilation</em>
Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.
The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.
<em>Reflection</em>
Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.
The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.
<em>Rotation</em>
The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.
The center of rotation doesn't go anywhere; it is "invariant".
<em>Translation</em>
Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.
Answer:
11 3/14
Step-by-step explanation:
Answer:
Step-by-step explanation:
If this is
then you distribute the 3 to both terms inside the parenthesis (the 2 and the c^-5). 2 cubed is 8. The rule for the power to power is that you multiply the powers together to get -15. So the final simplification is
