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3 years ago

Fill in the blank. Given below, you can conclude that OD is congruent to _______.

Mathematics

1 answer:

Triss [41]3 years ago

5 0

Answer:

Step-by-step explanation:

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Length and breadth of a rectangle is 28 and 20 respectively. It's perimeter is ....... *

vampirchik [111]

Answer:

Step-by-step explanation:

Because the perimeter of a rectangle is 2 * (length) + 2 * (breadth),

P = 2 * 28 + 2 * 20

P = 56 + 40 = 96

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3 years ago

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while watching a football game lin chow decided to list yardage gained as positive integers and yardage lost as negative integer

Anna007 [38]

All you need to do is add them together. 14+(-7)+9=16

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3 years ago

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Find the derivative of f(x)= (e^ax)*(cos(bx)) using chain rule

Vikentia [17]

$f(x) = e^{ax}\cos(bx)$

then by the product rule,

$f'(x) = \left(e^{ax}\right)' \cos(bx) + e^{ax}\left(\cos(bx)\right)'$

and by the chain rule,

$f'(x) = e^{ax}(ax)'\cos(bx) - e^{ax}\sin(bx)(bx)'$

which leaves us with

$f'(x) = \boxed{ae^{ax}\cos(bx) - be^{ax}\sin(bx)}$

Alternatively, if you exclusively want to use the chain rule, you can carry out logarithmic differentiation:

$\ln(f(x)) = \ln(e^{ax}\cos(bx)} = \ln(e^{ax})+\ln(\cos(bx)) = ax + \ln(\cos(bx))$

By the chain rule, differentiating both sides with respect to x gives

$\dfrac{f'(x)}{f(x)} = a + \dfrac{(\cos(bx))'}{\cos(bx)} \\\\ \dfrac{f'(x)}{f(x)} = a - \dfrac{\sin(bx)(bx)'}{\cos(bx)} \\\\ \dfrac{f'(x)}{f(x)} = a-b\tan(bx)$

Solve for f'(x) yields

$f'(x) = e^{ax}\cos(bx) \left(a-b\tan(bx)\right) \\\\ f'(x) = e^{ax}\left(a\cos(bx)-b\sin(bx))$

just as before.

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3 years ago

-2x + y =0 5x + 3y = -11

Ivahew [28]

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

-2x + y = 0

5x + 3y = -11

Step 2: Rewrite Systems

-2x + y = 0

Add 2x on both sides: y = 2x

Step 3: Redefine Systems

y = 2x

5x + 3y = -11

Step 4: Solve for x

Substitution

Substitute in y: 5x + 3(2x) = -11
Multiply: 5x + 6x = -11
Combine like terms: 11x = -11
Isolate x: x = -1

Step 5: Solve for y

Define equation: y = 2x
Substitute in x: y = 2(-1)
Multiply: y = -2

Step 6: Graph Systems

Check the solution set.

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3 years ago

The cost of 3 scarves is $66.75. What is the unit price?

Katarina [22]

Answer:

Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75.

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3 years ago

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