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3 years ago

Someone help me please !

Mathematics

1 answer:

kogti [31]3 years ago

8 0

Answer:

(-7, 8)

Step-by-step explanation:

(-7 , 8)

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Answer:

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The point where they meet is the solution of the simultaneous system of equations:

$y = -\frac{1}{8}x^2+4x$ ...........................................(1)

$3y = 2x - 14$ ..............................................(2)

From (2),

$y = \frac{2}{3}x-\frac{14}{3}$ .................................................(3)

Substituting (3) in (1),

$\frac{2}{3}x-\frac{14}{3} = -\frac{1}{8}x^2+4x$

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

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$3x^2-80x -112 = 0$

$(x-28)(3x+4) = 0$

$x-28 = 0$ OR $3x+4=0$

$x=28$ OR $x = -\frac{4}{3}$

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

$y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14$

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We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

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