When reflecting a point across the x-axis, you multiply the y coordinate by -1 (you flip the sign), so (-8,-3) would turn into (-8,3).
When reflecting a point across the y-axis, you multiply the x coordinate by -1 (flip the sign), so (-8, -3) becomes (8, -3)
Answer:
D
Step-by-step explanation:
There are 9 letters, which contains 2Qs, 3Ls and 4Bs.
If the 9 letters are distinct, the number of permutations they have will be 9!.
! is the factorial sign.
9! = 9*8*7*6*5*4*3*2*1
HOWEVER, we have some identical elements, so we need to get rid of the permutations of the same letters.
Thus we have:

The answer is D
Answer:
This is your answer
Step-by-step explanation:
(For the second step I multiplied 6 and 4)
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
Given :
The scale for a map to actual distance is 2 cm to a 100 miles.
To Find :
He actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimetres what is the actual distance in miles between Los Angeles and Las Vegas.
Solution :
2 cm of map shows 100 miles of actual distance.
So, 1 cm of map shows 50 miles of actual distance.
Now, 5.4 cm of map will show :

Therefore, distance between Los Angeles and Las Vegas is 270 miles.
Hence, this is the required solution.