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3 years ago

What is a solution to (x + 6)(x + 2) = 60?O x = -6O x=-4O x= 4O x = 12

Mathematics

1 answer:

Tanzania [10]3 years ago

3 0

Answer:

x=4

Step-by-step explanation:

Can't be first because it would be the equation 0(-4) which would equal 0

Can't be last because numbers would be too big

Can't be x=-4 because numbers would be too low

Has to be x=4 because:

(4+6)(4+2)=60

10x6=60

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3 years ago

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

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Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

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and we know velocity is express as

velocity = frequency × wavelength .....................2

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here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

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Read 2 more answers

What is a solution to (x + 6)(x + 2) = 60?O x = -6O x=-4O x= 4O x = 12​

What is a solution to (x + 6)(x + 2) = 60?O x = -6O x=-4O x= 4O x = 12