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Vlada [557]
3 years ago
15

Which number line shows the correct placement of 20%, 1/3 and 2/3?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1

Step-by-step explanation:

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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
3 years ago
In how many ways can you select two people from a group of 20 if the order of selection is not important?
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That is 20C2 The number of combinations of 2 from 20 

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Answer:

7.69% (round if need be)

Step-by-step explanation:

325. 25 times 13 is 325. 12/13 represents the original 300. 1/13 represents the decimal that changed. Multiply by 100 to get the percentage

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Can you conclude that this parallelogram is a rectangle? Explain.
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No. If no right angle exists, then it's not a rectangle.
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