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3 years ago

How does the number of decimal places in the factors relate to the number of decimal places in the product of the example

1 answer:

7 0

To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

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Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th

saul85 [17]

Answer:

The standard form of the ellipse is $\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$ .

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

If we know that $V_{1} (x,y) = (4,0)$ and $V_{2}(x,y) = (4, 14)$ , then the coordinates of the center are, respectively:

$(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)$

$(h,k) = (2,0) + (2, 7)$

$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

$a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}$

$a = 3$

$b = \sqrt{(4-4)^{2}+(0-7)^{2}}$

$b = 7$

The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

Where:

$h$ , $k$ - Coordinates of the center of the ellipse.

$a$ , $b$ - Length of the orthogonal semiaxes.

If we know that $h = 4$ , $k = 7$ , $a = 3$ and $b = 7$ , then the standard form of the ellipse is:

$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

4 0

3 years ago

A shoe store sells a specific pair of shoes in 3 colors, 4 designs, and 8 sizes. how many different shoes are available?

Arada [10]

There are 192 different shoes available

5 0

3 years ago

How do you write $2.161616 as a fraction and mixed number

faltersainse [42]

2.161616 = 2.161616/1 =21. 61616/10 = 216.1616/100 = 2161.616/1,000

= 21616.16/10,000 = 216161.6/100,000 = 2161616/1,000,000
As a mixed number = 2(161616/100,000)

8 0

3 years ago

For art class, each student

Mars2501 [29]

Answer:

s=25

Step-by-step explanation:

3 0

3 years ago

Find two numbers if their sum is 115 and their difference is 7

kobusy [5.1K]

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

4 0

3 years ago