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Ipatiy [6.2K]
2 years ago
14

a clothing store has sing has the sign shown is in the shop windoe pani sees the sing and want s to buy 3 shirts

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
5 0

What are we exactly supposed to solve for here

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Write the equation for a parabola with a focus at (1,-4)(1,−4)left parenthesis, 1, comma, minus, 4, right parenthesis and a dire
lutik1710 [3]

Answer:

x = 3/2 - ((y + 4)²)/2

Step-by-step explanation:

The coordinates of the focus of the parabola = (1, -4)

The directrix of the parabola is the line, x = 2 (parallel to the y-axis)

The general form of a parabola having a directrix parallel to the y-axis is presented as follows;

(y - k)² = 4·p·(x - h)

The coordinates of the focus = (h + p, k)

The line representing the directrix is x = h - p

Therefore, by comparison, we have;

(1, -4) = (h + p, k)

k = -4

h + p = 1

∴ p = 1 - h

From the directrix, we have;

2 = h - p

∴ 2 = h - (1 - h) = 2·h - 1

2·h = 2 + 1

h = 3/2

p = 1 - h

∴ p = 1 - 3/2 = -1/2

p = -1/2

By substitution of the values of <em>k</em>, <em>p</em>, and <em>h</em>, in the general equation of the parabola, (y - k)² = 4·p·(x - h), we get;

(y - k)² = 4·p·(x - h) = (y - (-4))² = 4·(-1/2)·(x - (3/2)) = (y + 4)² = -2·(x - 3/2)

The equation of the parabola in vertex form is therefore;

x = (-1/2)·(y + 4)² + 3/2 = 3/2 - (y + 4)²/2

6 0
2 years ago
A savings account accrues interest at a rate of 7.0% yearly. if someone opens an account with $20,000, how much money would the
andrey2020 [161]
7% of $20,000 is $1,400   $1,400(4)=$5,600  so it would be $25,600.
5 0
3 years ago
Find the area of a triangle <br> b = 30m<br> h = 15.6m
Tomtit [17]

Answer:

234

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find all solutions to the equation.<br> cos^2 x + 2 cos x + 1 = 0
Helen [10]

Answer:

x = \pi  +2\pi n

Step-by-step explanation:

Radian:  \pi  + 2 \pi n

Degree: x = 180 degree, 360 degree

7 0
3 years ago
7 fruit tarts. Each tart needs 3/4 cup of strawberries and 1/4 cup of blueberries. What is the total amount of fruit needed
Murrr4er [49]
3/4 x 7 =5 and 1/4 cup
1/4 x 7 = 1 and 3/4 cup
1/4 + 3/4 =1 cup 
so 7 cups in total hope this helped:)! brainliest please:)?
6 0
3 years ago
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