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3 years ago

Find the missing side of the triangle.

Mathematics

1 answer:

tia_tia [17]3 years ago

7 0

Answer:

Approximately 8.1 km

Step-by-step explanation:

Pythagoream Theorem:

${7}^{2} + {4}^{2} = {x}^{2} \\ 49 + 16 = {x}^{2} \\ 65 = {x}^{2} \\ \sqrt{65} = x \\ 8.1 = x$

Hope this helps!!

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Write an equation of the translation of y=3/x with asymptotes of x=7 and y= -5

Afina-wow [57]

The curve given has asymptotes at x=0 and y=0. We wish to move it right 7 units so the asymptote becomes x=7 and down 5 so the asymptote is y=-5

To move a function down 5 units subtract 5 from it. To move it right we subtract 7 from the independent variable (from the x). The new function is y=(3/(x-7))-5

y= (3 over (x-7)) then minus 5

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3 years ago

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0.06p = 0.72

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3 years ago

What is the value of y in the equation 2 + y = −3?

SOVA2 [1]

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3 years ago

Based on the information in the table, how much will Henry earn if he worked 7 hours?

777dan777 [17]

Answer:

Step-by-step explanation:

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3 years ago

Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

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

Unit: Differentiation

8 0

3 years ago