Determine the domain of the following graph:
1 answer:
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The speed of the planes are 300 miles per hour and 355 miles per hour.
<u>Solution:</u>
Given, Two planes are 1965 miles apart, flying toward each other.
Their speeds differ by 55 mph.
They pass each other in 3 hours,
We have to find what is the speed of each?
Let the speed of 1st plane be s miles per hour, then speed of the other plane will be s + 55 miles per hour.
And, distance travelled by 1st plane be d, then distance travelled by other plane will be 1965 – d miles
Now, we know that, distance = speed time
So, for 1st plane ⇒
For 2nd plane ⇒
By using 1st plane equation
1965 – 3s = 3s + 165
1965 – 165 = 3s + 3s
6s = 1800
s = 300
So, speed of 1st plane is 300 miles per hour, then speed of 2nd plane will be 300 + 55 = 355 miles per hour.
Hence, the speed of the planes are 300 miles per hour and 355 miles per hour.
to answer on cube root we need to use the prime factorisation.
which means using only prime number and dividing the number by suitable prime number.
after find prime factorisation we know that cube root is 3th power of number.
so if we have same three number we need to take it as one because it is a cube root .
for example