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Alexxx [7]
3 years ago
14

Which of the following are solutions to the equation below?

Mathematics
2 answers:
Semmy [17]3 years ago
7 0

Answer:

x = -3 or x = -6

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 27 x + 54 = 0

The left hand side factors into a product with three terms:

3 (x + 3) (x + 6) = 0

Divide both sides by 3:

(x + 3) (x + 6) = 0

Split into two equations:

x + 3 = 0 or x + 6 = 0

Subtract 3 from both sides:

x = -3 or x + 6 = 0

Subtract 6 from both sides:

Answer:  x = -3 or x = -6

Elodia [21]3 years ago
4 0

Answer:

x = -3, -6.

Step-by-step explanation:

3x2 + 27x + 54 = 0

Divide through by 3:

x^2 + 9x + 18 = 0

(x + 3)(x + 6) = 0

x = -3, -6.

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A farmer wants to fence in a rectangular area that is 1/8 mile wide by 1/4 mile long. which of the following proportions can the
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Step-by-step explanation:

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AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear
VMariaS [17]

Answer:

\overline{QT}

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides A(x_1,y_1) and B(x_2,y_2) in the ratio m:n=3:2

The x-coordinate is given by:

x=\frac{mx_2+nx_1}{m+n}

The y-coordinate is given by:

y=\frac{my_2+ny_1}{m+n}

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

x=\frac{3*7+2*-5}{3+2}

x=\frac{21-10}{5}

x=\frac{11}{5}

and

y=\frac{3*-7+2*9}{3+2}

y=\frac{-21+18}{5}

y=-\frac{3}{5}

Therefore C has coordinates  (\frac{11}{5},-\frac{3}{5})

The line segment that contains C is \overline{QT}

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