The student's answer is wrong. When a point (a, b) is reflected across the line y=x, the coordinates of the new point is reversed to (b, a). So D(2, 5) would become (5, 2), E(6, 4) would become (4, 6), and F(3, 3) is still (3, 3). None of the new points is (2, -5).
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. This means that the area of the backyard is
(3x - 5)(4x - 10)
= 12x² - 30x - 20x + 15
= (12x² - 50x + 15) square feet
Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is
(x + 8)(x - 2)
= x² - 2x + 8x - 16
= x² + 6x - 16
Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is
12x² - 50x + 15 - (x² + 6x - 16)
= 12x² - 50x + 15 - x² - 6x + 16
= 12x² - x² - 50x - 6x + 15 + 16
= 11x² - 56x + 31 square feet
50 percent of the flowers are tulips
Answer: There are infinitely many.
For example, 5314410.5 or 93. You are probably looking for (3)^6 tho
Answer:
Mean = 8
Variance = 22
Standard deviation = 4.6904
Step-by-step explanation:
To find out Mean the formula is : total sum of data set / number of values
(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8
Mean = 8
Now for variance we will form a table
x 11 11 3 1 11 11
(x - Mean) 3 3 -5 -7 3 3
(x - Mean)² 9 9 25 49 9 9
Now we the formula of variance =
Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22
Variance = 22
Now we know Standard deviation = √(variance)
Therefore standard deviation = √22 = 4.6904
Hope this helps!<3
