You find the GCF of 10x³ and - 12x² and the GFC of 5x and - 6.
10x³ and - 12x² share a GCF of 2x². 5x and - 6 share a GCF of 1
So factoring 10x³ - 12x² + 5x - 6 becomes:
2x²(5x - 6) + 1(5x - 6).
Your factored equation and answer is (2x² + 1)(5x - 6)
Answer:
z=-7.5
Step-by-step explanation:
Answer:
23°
Step-by-step explanation:
For this scenario say point G is the center point,
If we look to the left, we see angle FGE has a value of 23
and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same
so therefore angle CGD should be 23 degrees
There is a slight flaw. She is only correct if all three points are on the same line.
If S is on segment RT, then segment RT can be broken up into RS and ST. Through the segment addition postulate, we can then say
RS+ST = RT
So put another way, Michaela's claim is only true if angle RST is 180 degrees.
However, if angle RST is some other angle, then saying RS+ST = RT is not correct. So Michaela needs to clarify that point S is on segment RT. Or she could say that all three points are on the same straight line.
A diagram is provided below.
Side note: in the figure on the right, RS+ST adds up to something larger than RT. This is due to the triangle inequality theorem. That theorem states that adding any two sides of a triangle adds to something larger than the third remaining side.
Answer:
2 cups of sugar to 6 cups of water
Step-by-step explanation:
3 cups of sugar to 9 cups of water is our starting point.
If we plan to use only 2 cups of sugar, which is 2/3 of 3 cups,
multiply both quantities in "3 cups of sugar to 9 cups of water" by 2/3:
(2/3)(3 cups of sugar) to (2/3)(9 cups of water), obtaining:
2 cups of sugar to 6 cups of water.
Note that the ratio here is 3:9, which reduces to 1:3: 1 cup of sugar to 3 cups of water.
