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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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kifflom [539]
U kno how to simplify
3 0
3 years ago
Read 2 more answers
A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred
Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest:  Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P.  Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

                   ln 3

ln (1 + r) = ---------------

                    100

              = 1.0986 / 100 = 0.01986

We must solve this for r.  Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today.  Use the same equation:  A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0
2 years ago
A line is represented by the equation y=x-7. What is the y-intercept of the line?
DedPeter [7]

Answer: -7

In the slope-intercept format y = mx+b, b is always the y-intercept. If it is with a positive sign, the y-intercept is positive and if it is negative then the y-intercept is negative.

3 0
2 years ago
Read 2 more answers
Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the sc
Colt1911 [192]
Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students
6 0
3 years ago
What is mine times nine
statuscvo [17]
If you are meaning Nine times Nine the answer is 81.
8 0
2 years ago
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