On the number line below, P represents a number. What is the value of the opposite of that number?

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer: choice D) minus 1 and 2 over 4
(which is the same as writing $-1 \frac{2}{4}$ or writing -1 & 2/4)

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The point P is exactly halfway between 1 and 2. So it's at the point 1&1/2 or 1&2/4
1/2 = 2/4

Flip the point from positive to negative and you get the final answer to be -1 & 2/4

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Does dose anyone know how to solve this?

solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: $Area=Length \times Width$

Putting values and finding w

$Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\$

Solve using quadratic formula: $w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a=3, b=-7, c=-66

Putting values and finding w

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6$