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Andrej [43]
3 years ago
10

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

Mathematics
1 answer:
Len [333]3 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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Find the focus and directrix of the parabola with the equation x² = -22y.
Bad White [126]

9514 1404 393

Answer:

  focus: (0, -5.5)

  directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

  x² = 4py

where 4p = -22   ⇒   p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

6 0
3 years ago
A landscaper builds a regular hexagonal patio in a circular garden. The area not covered by the patio will be covered in grass.
Taya2010 [7]

The area that's covered by the grass will be 7.065m²

The area of a circle is found by using the formula: = πr²

where, r = radius = 1.5m

π = 3.14

Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:

Area = πr².

Area = 3.14 × 1.5²

Area = 3.14 × 1.5 × 1.5

Area = 7.065m²

In conclusion, the area is 7.065m²

Read related link on:

brainly.com/question/24705421

7 0
3 years ago
Slope of (-2,5)and(7,8)
grigory [225]

Answer:

The slope is 1/3

Step-by-step explanation:

8 – 5 = 3

_____________

7 – -2 = 9

3/9=1/3

4 0
3 years ago
Read 2 more answers
Use matrix addition to solve this equation
REY [17]

Answer:

  • c11 = 8
  • c31 = 20
  • c22 = 14

Step-by-step explanation:

The sum of two matrices is the sum of corresponding terms.

\left[\begin{array}{ccc}3&1&0\\-1&2&4\\9&7&-2\end{array}\right] +\left[\begin{array}{ccc}5&2&4\\1&12&3\\11&3&-2\end{array}\right] =\left[\begin{array}{ccc}8&3&4\\0&14&7\\20&10&-4\end{array}\right]

8 0
3 years ago
Read 2 more answers
Write the product using exponents. (very easy)
exis [7]

Answer:

-12^5

Step-by-step explanation:

5 0
3 years ago
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