Simplify (2a^3b^5)^2
1 answer:
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Answer:
Step-by-step explanation:
The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"
For this exercise you can use the following formula to find the average speed :
Where "d" is the distance and "t" is the time.
In this case, based on the information given in the exercise, you can identify that:
Since he completed a ski race in 2 min 6 seconds, and 1 minute has 60 seconds, you ge that this time in seconds is:
Substitute these values into the formula to find the average speed:
The formula for the time is:
Knowing that Tomos assumes that his average speed is the same for each race, for the 800 meters race you can identify that:
So, substituting values into the formula and evaluating, you get that the time it takes him to complete this race is:
Convert from seconds to minutes:
Converting 0.2 minutes to seconds, you get:
Therefore:
Answer:
<u>Third Option</u>:
Step-by-step explanation:
Given the points on the graph, (4, 5) and (-4, -5):
In order to determine the equation of the given graph in slope-intercept form, y = mx + b:
Use the given points to solve for the slope:
Let (x₁, y₁) = (-4, -5)
(x₂, y₂) = (4, 5)
m = (y₂ - y₁)/(x₂ - x₁)
Therefore, the slope of the line is: .
Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:
y = mx + b
5 = + b
5 = 5 + b
5 - 5 = 5 - 5 + b
0 = b
Therefore, the linear equation in slope-intercept form is: . The correct answer is Option 3.