What is the vertex and p-value of this parabola?

Mathematics

1 answer:

kobusy [5.1K]3 years ago

5 0

Answer:

vertex: (-7, 5)
p = 2

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

y = 1/8(x +7)^2 +5

You might be interested in

What Fraction Of The Wall Did Kevin Paint?

Mila [183]

Kevin painted $\frac{1}{9}$ of the wall.

Solution:

Fraction of the wall painted by Elena = $\frac{5}{9}$

Fraction of the wall painted by Matthew = $\frac{3}{9}$

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

<u>To find the wall painted by Kevin:</u>

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

$$=1-\frac{5}{9}-\frac{3}{9}$

$$=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}$

To make the denominator same, multiply the numerator and denominator of the first term by 9.

$$=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}$

$$=\frac{9-5-3}{9}$

$$=\frac{1}{9}$

Rest of the wall = $\frac{1}{9}$

Hence the kevin painted $\frac{1}{9}$ of the wall.

6 0

3 years ago

Please help! Correct answer only, please! Consider the following information matrices for the price of clothing at a clothing st

ololo11 [35]

Answer: b) Large blue t-shirt & Medium RC jeans

<u>Step-by-step explanation:</u>

The subscript numbers attached to the matrix letter represents the:

ROW, COLUMN

$A=\left[\begin{array}{ccc}a_{1,1}&a_{1, 2}&a_{1, 3}\\a_{2,1}&a_{2, 2}&a_{2, 3}\\a_{3,1}&a_{3, 2}&a_{3, 3}\end{array}\right] \qquad B=\left[\begin{array}{ccc}a_{1,1}&b_{1, 2}&b_{1, 3}\\b_{2,1}&b_{2, 2}&b_{2, 3}\\b_{3,1}&b_{3, 2}&b_{3, 3}\end{array}\right]\\$