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Katena32 [7]
3 years ago
7

What is the derivative of this

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0
\bf r(x)=\cfrac{3x-2}{2x+5}\implies \cfrac{dr}{dx}=\stackrel{quotient~rule}{\cfrac{3(2x+5)~~-~~(3x-2)2}{(2x+5)^2}}
\\\\\\
\cfrac{dr}{dx}=\cfrac{\underline{6x}+15\underline{-6x}+4}{(2x+5)^2}\implies \cfrac{dr}{dx}=\cfrac{19}{(2x+5)^2}
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15 points+brainliest!! please help asap, this is due tonight please!!
Masteriza [31]

Answer:

x=\sqrt{13}

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

Hypotenuse = \sqrt{Base^2 + Perpendicular^2}

Using all the values above into the formula gives :-

x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}

3 0
3 years ago
PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
earnstyle [38]

\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


so the slope of that line above is really -4/3, now


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}

6 0
3 years ago
Solve each equation by completing the square <br> 6) m² + 16m – 8 = 0
Natali5045456 [20]

Answer:

m = - 8 ± 6\sqrt{2}

Step-by-step explanation:

Given

m² + 16m - 8 = 0 ( add 8 to both sides )

m² + 16m = 8

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(8)m + 64 = 8 + 64

(m + 8)² = 72 ( take the square root of both sides )

m + 8 = ± \sqrt{72} = ± \sqrt{36(2)} = ± 6\sqrt{2}

Subtract 8 from both sides

m = - 8 ± 6\sqrt{2}

3 0
3 years ago
HELPPP . sorry for cracked. screen.. Identify w as either rational or irrational
Evgesh-ka [11]

Answer:

Irrational: √2 = 1.4

Step-by-step explanation:

4 0
3 years ago
I need help with this question
Rama09 [41]

Answer:

G

Step-by-step explanation:

An integer is a whole number. Round each of your answers to the nearest tenth (for the 5's, you round up), and you see that choice G, 5.5, can be divided by 1.1 to equal 5.

6 0
3 years ago
Read 2 more answers
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