The graph can be divided into two shapes. A rectangle and a right triangle.
The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.
Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters
Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.
12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c
Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters
Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.
There are 20 students in the class.
Answer:
|x + 6| = 2
Step-by-step explanation:
|x - b| = c
b is the centre: (-4-8)/2 = -6
b = -6
c is the distance from the centre
-6 - (-8) = -6 + 8 = 2
Or,
-4 - (-6) = -4 + 6 = 2
| x - (-6)| = 2
|x + 6| = 2
profit, p = 6 × $50 = $300
losses, l = 120 + 30 + 200 = $350
overall = p - l = -$50
loss of $50
