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Alexeev081 [22]
2 years ago
8

Which of the following equations is of a parabola with a vertex at (3, 0)?

Mathematics
1 answer:
bixtya [17]2 years ago
7 0

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:

y = (x - 3)²

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Terry needs to carry a pole that
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Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, (a^2+b^2=c^2 ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

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4. Tres albañiles trabajaron en una construcción. Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple
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Answer:

La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.

Step-by-step explanation:

En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.

Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.

Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x

Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:

x + 4*x+ 8*x= 104 (Planteamiento algebraico)

Resolviendo (Procedimiento):

13*x=104

x=\frac{104}{13}

x=8

Esto significa que <u><em>la cantidad de horas que trabajó Hugo son 8</em></u>.

Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces <u><em>Eduardo trabajó 32 horas.</em></u>

Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces <u><em>Francisco trabajó 64 horas.</em></u>

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2 years ago
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