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3 years ago

What is √ − 3 ⋅ √ − 27 =

Mathematics

1 answer:

ipn [44]3 years ago

8 0

We are given the expression:

√-3 * √-27

__________________________________________________________

Explaining the concept:

We know that:

√ab = √a * √b

Using this concept, we will simplify the given expression and solve it

__________________________________________________________

Simplifying the expression:

√-3 * √-27

√(-1*3) * √[(-1)*(3)(3)(3)]

√-1 * √3 * √-1 * √3 * √3 * √3

(√-1 * √-1) * (√3 * √3 * √3 * √3)

(√-1)² * (√3)² * (√3)²

-1 * 3 * 3

-9

Hence, after simplifying the given expression, we get -9

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Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

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The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

$\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt$

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The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

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Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

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The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

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In other words, all of our values are now positive. We will utilize the same strategy:

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Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

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