Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
10616 people per square mile
Step-by-step explanation:
No. of people living in the region = 1.2 million
Radius of the area = 6 mile
Since radius of region is given, area of can be calculated by using formula to get area of circle which is where r is radius of circle.
the value of pie is 3.14 which will be used in the calculation
Area of region
population density of any place is calculated by dividing the total population of region with area of the region
mathematically it can be written as
population density of any place = the total population of region / area of the region
substituting the value of total population of region with 1.2 million and area of the region as calculated 113.04 square mile we have
population density of any place = 1.2 million/113.04 square mile
= 0.0106157113 million / square mile
Since one million is equal to 1,000,000
0.0106157113 million will be equal to 0.0106157113 * 1,000,000
= 10615.7113
rounding 10615.7113 nearest to unit value, it will be 10616.
Therefore, population density is 10616 people per square mile.
Answer:
x ≈ - 6.49, x ≈ 12.49
Step-by-step explanation:
Given
(x - 3)² + 7 = 97 ( subtract 7 from both sides )
(x - 3)² = 90 ( take the square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
Then
x = 3 - ≈ - 6.49 ( to the nearest hundredth )
x = 3 + ≈ 12.49 ( to the nearest hundredth )
