Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims
1 answer:
Answer:
12 miles
Step-by-step explanation:
Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.
Total distance Alyssa cycled and ran =
=
Distance she swam = 1 - 37/40 = 3/40
3/40 of the distance is 0.9
the total distance = 40/3 x 0.9 = 12 miles
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Answer:
Step-by-step explanation:
We have:
And we want to find B’(6).
So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:
We can move the constant outside:
Now, we will utilize the product rule. The product rule is:
We will let:
Then:
(The derivative of u was determined using the chain rule.)
Then it follows that:
Therefore:
By simplification:
So, the slope of the tangent line to the point (6, B(6)) is -28.17.