The point A(x, y) is reflected across the x-axis to point B. Point B is reflected across the y-axis. What are the coordinates of point B'? A. (x, y) B. (–x, y) C. (x, –y) D. (–x, –y)

The transformed point B' is: (-x, -y)

which agrees with option "D" from your list of possible solutions.

Step-by-step explanation:

In a reflection across the x-axis, the x coordinate stays the same, while the y-coordinate adopts its opposite. That is, from y it becomes "-y". Therefore, now the point (x, y) got transformed into (x, -y).

In the second step, this new point is reflected across the y-axis. Then , in such reflection, the y-coordinate stays the same, while the x-coordinate gets transformed into its opposite (x becomes "-x". So for our case, the point (x, -y) now gets transformed into (-x, -y).

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)