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2 years ago

4 (3x - 4) = -(-2x + 21) solve for x

Mathematics

2 answers:

Bogdan [553]2 years ago

7 0

Step-by-step explanation:

12x - 16 = 2x - 21

10x - 16 = -21

10x = -5

x= -0.5

qwelly [4]2 years ago

4 0

Answer:

$4(3x - 4)=-(-2x+21)$

$12x - 16 = 2x - 21$

$12x - 2x = - 21 + 16$

$10x = - 5$

$x = \frac{ - 5}{10}$

$x = - 0.5$

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$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

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<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

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$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
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c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

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