1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s
2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s
3. Another word for rate of change in this situation is speed
<h3>What is speed? </h3>
Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:
Speed = distance / time
With the above idea, we can obtain the answers to the question given above.
<h3>1. How to determine the rate of change between 1 and 3 seconds</h3>
- Change in height = 30 - 90 = -60 ft
- Change in time = 3 - 1 = 2 s
- Rate of change =?
Rate = Change in height / change in time
Rate = -60 / 2
Rate = -30 ft/s
<h3>2. How to determine the rate of change between 0 and 5 seconds</h3>
- Change in height = 0 - 120 = -120 ft
- Change in time = 5 - 0 = 5 s
- Rate of change =?
Rate = Change in height / change in time
Rate = -120 / 5
Rate = -24 ft/s
<h3>3. what is another word for rate of change?</h3>
From the definition of speed given above, we can say that: another word for rate of change is speed
Learn more about speed:
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The slope is m, which is 312.3
also in intercept form would be y=312.3x+18.5
The GCF of 32 and 84 is 4.
Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
