Given:
The vertices of a triangle ABC are A(-2,1), B(-1,4) and C(-4,5).
Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.
To find:
The point B'.
Solution:
If a figure reflected over x-axis, then
If a figure reflected over y-axis, then
If a figure rotated 180 degrees about the origin, then
So, the coordinate of point B' are (-1,4).
Therefore, the correct option is A.
The domain is all real numbers, since x can be any number and create a y value
This can be written in a few ways, including:
X:X
X: R
-(infinity sign) is less than or equal to X is less than or equal to (infinity sign)
Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
Answer:
12
Step-by-step explanation:
One property of a parallelogram is that diagonals bisect each other. This means that it "divides" each other in to two equal parts.
Since FK is 6, that means that KH is also 6.
Then you have to add both of those because FK and KH both make up the diagonal FH, FH is 12.
Answer:
9x^2 - 3x - 30
Step-by-step explanation:
3x l 5
3x l 9x^2 l 15x
l ----- l ------
-6 l -18x l -30
