Answer:
Step-by-step explanation:
<u>From the graph we can get the intercepts:</u>
- The y-intercept (0, - 1)
- The x-intercept (4, 0)
<u>The rate of change (slope) is:</u>
Answer:
∠ D = 127°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ D is an exterior angle of the triangle , then
∠ D = 85° + 42° = 127°
Answer:
perimeter of the square is 32 inches
which agrees with the last answer in your list of options.
Step-by-step explanation:
Notice that the radius of the circle is exactly half of the side of the square, therefore, each side of the square must be 8 inches long.
Then, the perimeter of the square (addition of its four sides) is :
4 x 8 inches = 32 inches
Answer:
V(x) = 4(1.35)x, and it grows.
Step-by-step explanation:
Explanation:The initial number of horses = 24
year = 2011
Coordinates (2011, 24)
when the number of horses became 32, year was 2014
Coordinates (2014, 32)
We find the slope = rate of change
slope = change in number of horses/change in number of years
slope = (32-24)/(2014-2011)
slope = 8/3
The point slope formula:


The number of horses in year 2020
using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.
8/3 = (y - 24)/(2020 - 2011)
8/3 = (y - 24)/9
cross multiply:
8(9) = 3(y - 24)
72 = 3y - 72
72 + 72 = 3y
144 = 3y
144/3 = 3y/3
y = 48
Hence, there will be 48horses in 2020 (option A)