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Vikentia [17]
3 years ago
9

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

Mathematics
2 answers:
anzhelika [568]3 years ago
7 0

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.

MAVERICK [17]3 years ago
5 0

Answer:

B. Square root

Step-by-step explanation:

using distance formula:

x = √z^2 - y^2

y = √z^2 - x^2

=> z = √x^2 + y^2

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A company has 24 employees. Each employee volunteers to bring 1 item to the local school
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Answer:

Step-by-step explanation:

1/8 into 24/8 would be 3

1/3 into 24/3 would be 8

double the amount of pencils would be 6

6+8+3=17

24-17=7

So, 7 employees bring backpacks.

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3 years ago
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If f(x)=4x+2, find f(-3)
almond37 [142]

Answer:

f(x)=-10

Step-by-step explanation:

when you have f of x...any x gets the filled in by the number that is next to f

so f(x)=4x+2

f(x)=4*-3+2

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2 years ago
40/50 to a simpel fraction
Otrada [13]

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4/5

Step-by-step explanation:

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5 0
3 years ago
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Isolate the absolute value expression in the following equations to determine if they can be solved if so find and graph the sol
aev [14]

Answer:

x=-4

Step-by-step explanation:

2(|x+4|+3)=6

take out absolute value

2(x+4+3)=6

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Simplify

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4 0
3 years ago
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
lyudmila [28]

Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

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