3 years ago

What 2 numbers add up to 2 and multiply to -24?

Mathematics

1 answer:

Alinara [238K]3 years ago

7 0

Answer:

6 and - 4

Step-by-step explanation:

Adding up to 2

$6 + ( - 4) = 6 - 4 \\ 6 - 4 = 2$

Multiply to -24

$6 \times ( - 4) = - 24$

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3 years ago

The front of an A-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet les

aleksandrvk [35]

Answer:

Base = 24 ft; height = 47 ft

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

$\begin{array}{ccc}A & = & \dfrac{1}{2}bh\\\\564 & = & \dfrac{1}{2}x(2x - 1)\\ \\1128 & = & x(2x - 1)\\& = & 2x^{2} - x\\2x^{2} - x - 1128 & = & 0\\(2x + 47)(x - 24) & = & 0\\2x + 47 = 0 &\qquad & x - 24 = 0\\2x = -47 & \qquad & x = \mathbf{24}\\x = -23.5 & \qquad & \\\end{array}$