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Flauer [41]
3 years ago
15

Help very easy math!!

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

y = x - 5

Step-by-step explanation:

<u>GIVEN :-</u>

  • Slope of the line = 1
  • y-intercept of the line = -5

<u>TO FIND :-</u>

  • Equation of the line in slope-intercept form

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → \boxed {y = mx + c}

<u>SOLUTION :-</u>

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

y = (1 \times x) + (-5)

=> y = x - 5

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Use logarithmic differentiation to find the derivative of the function. y = x2cos x Part 1 of 4 Using properties of logarithms,
Arisa [49]

ANSWER

{y}^{'}  = 2x \cos(x)  -   {x}^{2} \sin(x)

EXPLANATION

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ln(AB)  =  ln(A )  +  ln(B)

This implies that:

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We now differentiate implicitly to obtain;

\frac{ {y}^{'} }{y}  =  \frac{2}{x}   -  \frac{ \sin(x) }{ \cos(x) }

Multiply through by y,

{y}^{'} = y( \frac{2}{x}   - \frac{ \sin(x) }{ \cos(x) ) })

Substitute y=x²cosx to obtain;

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Expand:

{y}^{'}  = 2x \cos(x)  -   {x}^{2} \sin(x)

7 0
3 years ago
The length of one leg of a right triangle is 8 centimeters shorter than the
ra1l [238]

{34}^{2}  +  {b}^{2}  = {42}^{2}  \\ 1156 + {b}^{2}  = 1764 \\ 1156 - 1156 +  {b}^{2}  = 1764 - 1156 \\  {b}^{2}  = 608 \\  \sqrt{ {b}^{2} }  =  \sqrt{608}  \\ b = 24.7
I used the Pythagorean formula, which is a² + b² = c².
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( y1 - y2 ) / ( x1 - x2 )
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