Your front door is 42” wide and 84” tall. You purchased a circular table that is 96
inches in diameter. The delivery company says they will be able to fit the table in the door if
they carry it sideways. Are they correct? Will the table fit through the front door?
Use Pythagorean Theorem to explain/justify. In answering this question, you must create a simple
drawing that shows the door and its diagonal. You must label all lengths in the drawing and be
sure to include the units (inches).

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Ответ:

ninaaforever

30.05.2022

Mathematics

(-1, 8)

Step-by-step explanation:

Given P to be the point that divides the coordinates J and K in the ratio 1:3

then the coordinate of point P will be xpressed as;

P(X, Y) = $(\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})$

Given J = (-4, 11) and K = (8, -1)

$x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3$

substituting the given parameters into the line division formula

$P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)$

Hence the coordinates of P is (-1, 8)

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