Mathematics: According to nasa, when the international space station (iss) is at an altitude of 385 kilometers, it travels at about 27,707 kilometers per hour. after how many hours of travel will the iss reach a star that is 4.8 lightyears away? recall that 1 light year = 9.5 · 1012 kilometers and 1 kilometer = 0.62 miles. in your final answer, include all of your calculations.

According to nasa, when the international space

summerjoiner

06.01.2022

$1.6457934818\times 10^9$ hours

Step-by-step explanation:

ISS is at a distance = 385 km

We are supposed to find how many hours of travel will the ISS reach a star that is 4.8 light years away?

1 light year = $9.5 \times 10^{12}$

So, 4.8 light years = $4.8 \times 9.5 \times 10^{12}$

= $4.56\times10^{13}km$

So , we are supposed to find after how many hours ISS will be at an altitude $4.56\times 10^{13}km$

We are also given that it travels at about 27,707 kilometers per hour

Since it travels 27707 km in hours = 1

So, it travels 1 km in hours = $\frac{1}{27707}$

It travels $4.56\times10^{13}km$ in hours = $\frac{4.56\times10^{13}}{27707}$

= $1.6457934818\times 10^9$

Hence ISS will travel $1.6457934818\times 10^9$ hours reach a star that is 4.8 light years away .

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Albertrami9019

09.03.2022

Step-by-step explanation:

Given

x² + 20x + 100 = 36 ( subtract 36 from both sides )

x² + 20x + 64 = 0 ← in standard form

Consider the factors of the constant term ( + 64) which sum to give the coefficient of the x- term ( + 20)

The factors are + 16 and + 4, since

16 × 4 = + 64 and 16 + 4 = + 20, hence

(x + 16)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 16 = 0 ⇒ x = - 16

x + 4 = 0 ⇒ x = - 4

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