Answer:
See below
Step-by-step explanation:
The solution choices all agree that x = 1±√2. The second equation tells you ...
y = ±2√(x+2)
so the sign of the √2 term in x is the same as the sign of the √2 term in y. The answer choices circled in red are the ones that meet this requirement.
Answer:
38.46%
Step-by-step explanation:
There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.
There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:
*
= 37!
= 53017895700
The number of possible ways to choose 20 calculators out of 40 calculators will be:
=
=137846528820
The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%
Option C: is the coordinates of C after translation.
Explanation:
The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).
Also, given that the triangle is translated 4 units down and 3 units left.
We need to determine the coordinates of the vertex C after translation.
The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.
Thus, it can be written as
Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.
Thus, it can be written as
Thus, the translation is given by
The vertices of C after translation can be determined by
Thus, is the coordinates of C after translation.
Hence, Option C is the correct answer.