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Leokris [45]
3 years ago
14

0=5y+4x+23, 6y-12=-3x

Mathematics
2 answers:
grigory [225]3 years ago
7 0
X=−22
​y=13 is the answer
Sindrei [870]3 years ago
5 0

Answer:

Point Form:

(−22,13)

Equation Form:

x=−22,y=13

Step-by-step explanation:

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Find a formula for dy/dx if sin x + cos y + sec(xy) = 251
Lena [83]

Answer:

\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Trig Differentiation

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

Implicit Differentiation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

sin(x) + cos(y) + sec(xy) = 251

<u>Step 2: Differentiate</u>

  1. [Implicit Differentiation] Trig Differentiation [Chain Rule]:                             \displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0                      
  2. [Subtraction Property of Equality] Isolate  \displaystyle \frac{dy}{dx}  terms:                                     \displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)
  3. [Distributive Property] Distribute sec(xy)tan(xy):                                            \displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)
  4. [Subtraction Property of Equality] Isolate  \displaystyle \frac{dy}{dx}  terms:                                     \displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)
  5. Factor out  \displaystyle \frac{dy}{dx}:                                                                                                   \displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)
  6. [Division Property of Equality] Isolate  \displaystyle \frac{dy}{dx}:                                                      \displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}

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

Unit: Implicit Differentiation

Book: College Calculus 10e

5 0
3 years ago
PLEASE HELP ME QUICKLY!! IM BEING TIMED
Sonja [21]

Answer:

<h3>The value of the second number is <em><u>24</u></em><em><u> </u></em>and the first no <em><u>12</u></em><em><u>.</u></em></h3>

Step-by-step explanation:

<h3> Greetings !</h3>

From, the given word explanation try to create your own equation like

  • x + y = 36... (1) let the two numbers be x and y respectively.
  • 2x = y ....(2) let x be the first no and it's twice that of the second number.

From, equation (1) solve for x

  • x + y = 36
  • x = 36-y... (3)

Substitute, equation (3) to equation (2).

  • 2(36-y) =y
  • 72 - 2y =y
  • 72 = y + 2y.... solve for y
  • 72 = 3y.... divide both sides by 3
  • 72/3 = y..
  • <em><u>y=24</u></em><em><u> </u></em><em><u>.</u></em>..simplified
4 0
2 years ago
Read 2 more answers
Write the mixed number as an improper fraction.<br> 1 and three fourths
Makovka662 [10]

Answer:

7/4

Step-by-step explanation:

4 plus 3 equals 7 so 7/4 (you add 4 and 3 because you already have 4/4 and 3/4 so add the 2 numerators to get 7.)

6 0
3 years ago
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Which of the following numbers is irrational? provide an explanation
Alecsey [184]

Answer:

B

Step-by-step explanation:

Never ending non repetitive, could not be made a fraction

4 0
2 years ago
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REY [17]

1) 4 gallons

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