A B C D E represent the subjects
A+A1
A+B2
A+C3
A+D4
A+E5
B+B6
B+C7
B+D8
B+E9
C+C10
C+D11
C+E12
D+D13
D+E14
E+E15
15 combos
The equation for the slope of a line is:
y2-y1/x2-x1
So:
-4-1/1-2 = -5/-1 =5
The slope of the line is 5.
mama giraffe: x
baby giraffe:
= 15
= (3)15
3x + 2x = 45
5x = 45
x = 9
baby giraffe: = = 2(3) = 6
Answer: 6 m
Q 16. The energy is 308.7 J.
Q 17. The energy is 896000 J.
Step-by-step explanation:
Q 16. Given,
Mass (m) of the carriage and baby = 1.5 kg
Height (h) = 21 m
To find the energy.
We will find the potential energy as it rests at the top.
Formula
Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²
So,
Energy = 1.5×9.8×21 J
= 308.7 J.
Hence,
The energy is 308.7 J.
Q 17. Given,
Mass (m) = 1120 kg
Speed (v) = 40 m/s
To find out the energy.
We will find out the kinetic energy as the car is in motion.
Formula
Kinetic energy = mv²
So,
Energy = ×1120×40² J
= 896000 J
Hence,
The energy is 896000 J.
X (Time in Hours) y (Distance)
0 900
1 850
2 800
3 750
The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles
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PART B
The rate of change is calculated by finding the vertical and horizontal distance between two points
The decrease is the same value every time; for every hour, there's a decrease of 50 miles.
So, the rate of change is 50 miles per hour
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PART C
The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be
0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours
The domain of the function is 0 ≤ x ≤ 18