An incoming airplane is x miles due north from the control tower at an airport. A second incoming airplane is y miles due east o
f the same control tower. The shortest distance between the two airplanes is z miles.
Which of the following functions would best model the situation above?
A.
cube root
B.
square root
C.
piecewise
D.
step
Which of the following functions would best model the situation above?
A.
cube root
B.
square root
C.
piecewise
D.
step
2 answers:
Answer:
Option B. square root
Step-by-step explanation:
An incoming airplane is x miles due North at A from the control tower and a second airplane is y miles East at B of the same control tower.
The shortest distance between the two airplanes is z miles.
By Pythagoras Theorem
z² = x² + y²
z = √(x² + y²)
So function which models the situation best is "square root".
Therefore, option B. square root is the answer.
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Answer:
Step-by-step explanation:
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I hope I've helped you.
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Answer:
3
Step-by-step explanation:
The fractions are: and
. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this:
and
. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in
, we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation:
+
. We know it is the same as
and
. So now all we do is add the numerators together: 5+10=15 or
. Now we have to reduce the fraction.
can be reduced to 3 by dividing 15 by 5=3. The final fraction is
or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!