Mathematics, 14.12.2020 20:50 mnriegner

Explain the process to solve the equation. Use proper vocabulary in your explanation. One-fourth x = negative five-eighths plz help

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Answer from: froyg1234

9514 1404 393

x = -5/2

Step-by-step explanation:

The equation ...

$\dfrac{1}{4}x=-\dfrac{5}{8}$

is a "one-step" linear equation. It has a variable term on one side of the equal sign and a constant term on the other sided of the equal sign. It is solved by multiplying both sides of the equation by the reciprocal of the coefficient of the variable. The variable coefficient is 1/4, so you multiply by the reciprocal of that, 4. Multiplying by this value causes the coefficient of the variable to become the multiplicative identity element, 1. Both sides of the equation are multiplied by this value in accordance with the multiplication property of equality. That way, the variable value is not changed. Then the equation becomes ...

$\dfrac{4}{4}x=-\dfrac{5\cdot4}{2\cdot4}\\\\x=-\dfrac{5}{2} \qquad\text{simplified}$

After simplifying the coefficient and the constant, the solution is found to be x = -5/2, or x = -2 1/2.

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

Answer from: Quest

It will might be false

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Explain the process to solve the equation. Use proper vocabulary in your explanation. One-fourth x...

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