About 1.83. You would set up the equation like this
Yes "3x8 = 4x6" does illustrate the commutative property of multiplication.
Well, anything that's rotated (turned), reflected (flipped), or translated (moved) is still the same shape of the same size, so the new figures would be congruent with the originals. Dilation, however, is when the shape stays the same but the size changes, so when a figure is dilated, it's not congruent, just similar. 2 out of the 4 are dilated, so those ones would be the answer.
Answer:
10
Step-by-step explanation:
Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:
![y > x^{2}-4\cdot x -5](https://tex.z-dn.net/?f=y%20%3E%20x%5E%7B2%7D-4%5Ccdot%20x%20-5)
![y < -x^{2}-5\cdot x +6](https://tex.z-dn.net/?f=y%20%3C%20-x%5E%7B2%7D-5%5Ccdot%20x%20%2B6)
We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)
![7 > 1^{2}-4\cdot (1) -5](https://tex.z-dn.net/?f=7%20%3E%201%5E%7B2%7D-4%5Ccdot%20%281%29%20-5)
![7 < -1^{2}-5\cdot (1) +6](https://tex.z-dn.net/?f=7%20%3C%20-1%5E%7B2%7D-5%5Ccdot%20%281%29%20%2B6)
Then,
(TRUE)
(FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)
![-7 > 1^{2}-4\cdot (1) -5](https://tex.z-dn.net/?f=-7%20%3E%201%5E%7B2%7D-4%5Ccdot%20%281%29%20-5)
![-7 < -1^{2}-5\cdot (1) +6](https://tex.z-dn.net/?f=-7%20%3C%20-1%5E%7B2%7D-5%5Ccdot%20%281%29%20%2B6)
Then,
(TRUE)
(TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)
![-5 > 1^{2}-4\cdot (1) -5](https://tex.z-dn.net/?f=-5%20%3E%201%5E%7B2%7D-4%5Ccdot%20%281%29%20-5)
![-5 < -1^{2}-5\cdot (1) +6](https://tex.z-dn.net/?f=-5%20%3C%20-1%5E%7B2%7D-5%5Ccdot%20%281%29%20%2B6)
Then,
(TRUE)
(TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)
![6 > (-1)^{2}-4\cdot (-1) -5](https://tex.z-dn.net/?f=6%20%3E%20%28-1%29%5E%7B2%7D-4%5Ccdot%20%28-1%29%20-5)
![6](https://tex.z-dn.net/?f=6%20%3C%28-1%29%5E%7B2%7D-5%5Ccdot%20%28-1%29%2B6)
Then,
(TRUE)
(TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.