9a^2-6ab+12ac-8bc
=3a(3a-2b)+4c(3a-2b)
=(3a+4c)(3a-2b)
There you go. Have fun!
Answer:
1:2
Step-by-step explanation:
The total number of marbles in the jar can be found by adding all the numbers of marbles given:
15+5+10 = 30
Out of 30 total marbles, 15 are red marbles. We can write the ratio as:
15:30
This ration can be simplified to:
1:2
<h3>
Answer: Quadrilateral</h3>
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Explanation:
Of your original given list, let's write down the parallelograms. They are:
- Parallelogram
- Rectangle
- Rhombus
- Square
So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.
We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.
Lastly, we can rule out the kite because any kite has perpendicular diagonals.
The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.
Kites have two pairs of equal sides with one side shorter than the other. However, parallelograms have two pairs of equal sides, but they are parallel.
