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3 years ago

Interpret the average rate of change of -14/3 that

Mathematics

1 answer:

Jobisdone [24]3 years ago

5 0

Answer:

On average, the slide drops 14 feet for every 3 feet of horizontal distance.

On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

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If W(-10, 4), X(-3, -1), and Y(-5, 11) classify ΔWXY by its sides. Show all work to justify your answer.

solniwko [45]

Given:

The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).

To find:

Which type of triangle is ΔWXY by its sides.

Solution:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$WX=\sqrt{(-3-(-10))^2+(-1-4)^2}$

$WX=\sqrt{(-3+10)^2+(-5)^2}$

$WX=\sqrt{(7)^2+(-5)^2}$

$WX=\sqrt49+25}$

$WX=\sqrt{74}$

Similarly,

$XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}$

$WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}$

Now,

$WX=WY$

So, triangle is an isosceles triangles.

and,

$WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2$

$WX^2+WY^2=74+74$

$WX^2+WY^2=148$

$WX^2+WY^2=(2\sqrt{37})^2$

$WX^2+WY^2=WY^2$

So, triangle is right angled triangle.

Therefore, the ΔWXY is an isosceles right angle triangle.

3 0

3 years ago

One shape is approaching a poor from the east traveling west at 15 mph and its presently 3 miles east east of the port I second

valentinak56 [21]

Answer:

DL/dt = 17 mph

Step-by-step explanation:

The ships and the port shape a right triangle

Ship going west ( x-direction) is traveling at 15 mph

Ship going north (y-direction) is traveling at 10 mph

The distance L between ships is:

L² = x² + y²

Tacking derivatives on both sides of the equation with respect to time

we get

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)

In that equation we know:

Dx/dt = 15 mph

Dy/dt = 10 mph

At the moment ship traveling from the east is at 3 miles from the port

then x = 3 m and the other ship is at 4 miles north

then by Pythagoras theorem

L = √ 3² + 4² L = 5

By substitution in equation 1

2*5*DL/dt = 2*3*15 + 2*4*10

10* DL/dt = 90 + 80

DL/dt = 170 / 10

DL/dt = 17 mph

4 0

3 years ago

An original piece of artwork is 2.75 feet by 2.25 feet a reprint of the artwork is 22 inches by 18 inches are the pieces similar

vladimir1956 [14]

12in=1ft
2.75ft=33in
2.25ft=27in
Original: 33 by 27
Reprint: 22 by 18
33:27=22:18
Also, the original print is 1.2 times larger than the reprint

Hope that answers your question

6 0

3 years ago

What is the opportunity cost (in civilian output) of a defense buildup that raises military spending from 4.1 to 4.5 percent of

cestrela7 [59]

In economics and investments, opportunity cost is the amount of money that a company could have gained, but lost because they took another course of action. This is especially applicable to situations wherein a company decides on which of the two events they would choose.

In other words, opportunity cost can be the net gain or loss that a company obtains when upon getting to the decision. Suppose, we chose a spending of 4.5%, the opportunity cost would be:

Opportunity cost = <span>$7 trillion (4.5% - 4.1%)
Opportunity cost = $7 trillion(0.004)
Opportunity cost = $0.028 trillion or $28 billion

Therefore, the opportunity cost is $28 billion.</span>

3 0

4 years ago

What is <br><img src="https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B2%7D%20%20%2B%203%20%5Ctimes%2016" id="TexFormula1" title=" {5}^{2

enyata [817]

The answer 73 because you is supposed to use your order of operations so in other words your supposed to use PEMDAS

6 0

3 years ago