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3 years ago

7

IF CD=AD, and CB=AD. Then 1=2

1 answer:

Natalka [10]3 years ago

7 0

Answer:

thanks for free points

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The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

l is length
w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle l = 10 \ meters$ <u />

<u /> $\displaystyle \frac{dl}{dt} = 4 \ m/day$ <u />

<u /> $\displaystyle w = 23 \ meters$ <u />

<u /> $\displaystyle \frac{dw}{dt} = 1 \ m/day$ <u />

<u />

<u>Step 2: Differentiate</u>

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

<u>Step 3: Solve</u>

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

What is the image of the point (-7,4) after a rotation of 180 counterclockwise about the origin?

777dan777 [17]

Answer:

(-7,-4)

Step-by-step explanation:

hope this helps bro

7 0

3 years ago

10^3 I need some help can someone help please.

Taya2010 [7]

Answer:

1,000

Step-by-step explanation:

10³ is the same as saying 10×10×10

This is equal to 1,000

Hope that helps!

5 0

2 years ago

Read 2 more answers

Plz help ASAP I will mark brainleist

Zigmanuir [339]

Answer:

6 units

Step-by-step explanation:

They are on the same y-point and so you just have to count the spaces between them on the x-axis.

4 0

3 years ago

Read 2 more answers

Eleven less than 5 times a number is 24

aleksandrvk [35]

Algebraically, that would be 5n - 11 = 24

6 0

3 years ago