Use substitution to solve the system. 4x-3y=−32 x=−2y-13
1 answer:
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Answer:
The spaceship will get to Alpha Centaur in time
Step-by-step explanation:
<u><em>The complete question in English is</em></u>
You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7
miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?
step 1
Find the time it takes for the spaceship to travel from Earth to the Sun
The distance from the Earth to Sun is equal to
The spaceship can travel at the speed of light
The light can travel a distance of in a year
so
using a proportion
This time is very small in years
Convert to minutes
step 2
Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur
The distance from the the Sun to Alpha Centaur is equal to
The spaceship can travel at the speed of light
The light can travel a distance of in a year
so
using a proportion
therefore
The spaceship will get to Alpha Centaur in time
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
– – – – (1)
– – – – (2)
To find the solutions to f(x) = 64.
Equate equation (1) and (2), we get
Subtract 15 from both sides of the equation.
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
Answer:
Step-by-step explanation:
Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).
If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).
So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.
Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333
10x = 3.33333
-x = 0.333333
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Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.
How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.
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<u>Simplify 3/9 into the lowest terms:</u>