Mathematics, 10.07.2019 06:30 dhhdndnd

Katie solved the equation by completing the square. x^2+12x−7=0 which equation shows one of the steps katie could have taken to complete the square? x^2+12x+144=7 x^2+12x+144=7+144 x^2+12x+36=7+36 x^2+12x+36=7

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Answer from: loudenalexisp56lp0

Option C is correct. One of the steps Katie could have taken to complete the square is x²+12x +36 = 7 + 36

Given the equation that Katie solved using the completing the square method expressed as:

x²+12x−7=0

The steps to be taken are as follows

Step 1: Add 7 to both sides

x²+12x−7 + 7=0 + 7

x²+12x = 7

Step 2: Complete the square by adding the square of the half of the coefficient of x to both sides

Coefficient of x = 12

half of coefficient of x = 12/2 = 6

square of the half of coefficient of x = 6^2

Add 6^2 to both sides

x²+12x +6^2 = 7 + 6^2

(x+6)^2 = 7 + 36

x²+12x +36 = 7 + 36

Hence one of the steps Katie could have taken to complete the square is x²+12x +36 = 7 + 36

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Answer from: ARandomPersonOnline

Katie has equation x^2+12x-7=0 and wants to solve it completing the perfect square. In order to do it, first rewrite 7 in right side:

x^2+12x=7.

Then note that $12x=2\cdot 6\cdot x,$ so Katie has to add 6^2=36 to both sides (because $x^2+12x+36=x^2+2\cdot 6\cdot x+6^2=(x+6)^2$ ):

$x^2+12x+36=7+36,\\ \\(x+6)^2=43.$

correct choice is C.

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

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step-by-step explanation:

Answer from: Quest

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.

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