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3 years ago

Help me please thank you

Mathematics

1 answer:

worty [1.4K]3 years ago

8 0

120 should be the answer

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If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3

yulyashka [42]

Hello,

$L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\$

5 0

3 years ago

What is the distance from L to M?

ANEK [815]

Answer:

A. 10 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Reading a Cartesian plane

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point L(-5, 4)

Point M(3, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(3+5)^2+(-2-4)^2}$
[√Radical] (Parenthesis} Add/Subtract: $\displaystyle d = \sqrt{(8)^2+(-6)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{64+36}$
[√Radical] Add: $\displaystyle d = \sqrt{100}$
[√Radical] Evaluate: $\displaystyle d = 10$

8 0

3 years ago

Do you multiply or divide when you converting meter to centimeter

faust18 [17]

You divide by 100.

So 1 meter =100 cm

3 0

3 years ago

Read 2 more answers

The height of a car is about 1

Novay_Z [31]

Answer:

I believe, if you're talking about a real car, it's probably feet. If meters isn't an option, probably feet.

3 0

4 years ago

99 POINTS PLZ ANSWER

attashe74 [19]

I assume you mean 4(3^x) as in this is an exponential function.

The average rate of change is simply the change in y divided by the change in x so:

(4(3^2-3^1))/(2-1)

4(9-3)

4(6)

24

....

(4(3^4-3^3))/(4-3)

4(81-27)

4(54)

216

So the average rate from 3 to 4 is 216 and from 1 to 2 is only 24.

So the average rate of B to A is 216/24=9, is 9 times greater than A.

The average rate of change is not constant as this is an exponential function.

5 0

3 years ago