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4 years ago

What is the defination of the focus when referring to a parabola?

Mathematics

1 answer:

Len [333]4 years ago

6 0

Answer:

Focus of a Parabola. A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.

Step-by-step explanation:

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3 years ago

A school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden.

Len [333]

Answer:

$18\frac{3}{4}$ pounds.

Step-by-step explanation:

Let x be the total amount of potting soil needed to complete the planting in new garden.

We are told that a school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden. This means 2/5 of x equals to 12 1/2.

$\frac{2}{5} x=12\frac{1}{2}$

$\frac{2}{5} x=\frac{25}{2}$

$x=\frac{25}{2}\times\frac{5}{2}$

$x=\frac{125}{4}$

To find the amount of soil needed for the next of planting we will subtract the amount of potting soil used on the first day $(\frac{25}{2})$ from amount of total potting soil $(\frac{125}{4})$ .

$\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{25}{2}$

$\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{25\times 2}{2\times2}$

$\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{50}{4}$

$\text{Amount of potting soil needed for second day}=\frac{75}{4}$

$\text{Amount of potting soil needed for second day}=\frac{75}{4}=18\frac{3}{4}$

Therefore, the group will need $18\frac{3}{4}$ pounds of potting soil to finish their work.

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3 years ago