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3 years ago

How do I solve for x?

Mathematics

1 answer:

NISA [10]3 years ago

5 0

Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:

5 6
---- = ---------
14 6 + x

Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.

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Solve this equation pls

Aleksandr-060686 [28]

Answer:

${ \rm{y = \frac{3 \sqrt{x} + 2x}{ {4x}^{2} } }} \\$

• We are gonna use the quotient rule

${ \boxed{ \bf{ \frac{dy}{dx} = \frac{ {\huge{v} } \frac{du}{dx} - { \huge{u}} \frac{dv}{dx} }{ {v}^{2} } }}} \\$

u is (3√x + 2x)
v is 4x²
du/dx is 3/2√x
dv/dx is 8x

• Therefore:

${ \rm{ \frac{dy}{dx} = \frac{(4 {x}^{2})( \frac{3}{2 \sqrt{x} }) - (3 \sqrt{x} + 2x)(8x) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{(6 {x}^{2})( {x}^{ - \frac{1}{2} } ) - (24 {x}^{ \frac{3}{2} } + 16 {x}^{2} ) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ 6 {x}^{ \frac{3}{2} } - {24x}^{ \frac{3}{2} } - {16x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ - 18 {x}^{ \frac{3}{2} } - 16 {x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = - 2 {x}^{ \frac{3}{2} } (9 + 8 {x}^{ \frac{4}{3} } ) \div 16 {x}^{4} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \: \frac{dy}{dx} = - \frac{8 \sqrt{ {x}^{ \frac{8}{3} }} + 9}{8x {}^{ \frac{8}{3} } } \: \: }}}}$

5 0

2 years ago

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Use the explicit formula an=a1+(n-1)•d to find the 300th term of the sequence below 57,66,75,84,93

Grace [21]

$a_{300}=57+(300-1)\cdot9\\
a_{300}=57+299\cdot9\\
a_{300}=57+2691\\
a_{300}=2748$

6 0

2 years ago

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4 - The area of a rectangle is 256.5m. If the length is 18m what is the perimeter of the rectangle? -

attashe74 [19]

The equation of the area of a triangle is Area=Length×Width. We know area=256.5 and length is 18. So now we know 256.5=18×width. We then divide 256.5÷18 to get the width. The width is 14.25. Perimeter=legth+length+width+width. If width is 18 and length is 14.25 then we add up all 4 sides. 18+18+14.25+14.25=64.5. 64.5 is the perimeter

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3 years ago

Jaime earned some money mowing the neighbor's lawn. He spent one-fourth of his money to take his friends to see a movie. Then he

steposvetlana [31]

The answer is 104.

1/4 of 104 is 26, 104 - 26 = 78

78 - 7 = $71

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3 years ago

What is 5/6 divided by 1 5/6

Lana71 [14]

Answer:

0.45454545454, also known as 0.45 repeated

Step-by-step explanation:

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2 years ago

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