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2 years ago

3. The area of a rectangle is 24a² b5. The length of the rectangle is 6ab. What is the width of the

Mathematics

1 answer:

adelina 88 [10]2 years ago

5 0

Answer:

4ab^4

Step-by-step explanation:

(24a^2b^5) / (6ab) = 4ab^4

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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

2 years ago

Proportional relationships always have the same outcome no matter how many batches are used. For example, scaling up or down a r

viva [34]

The answer is true. Proportionality means “having a constant ratio to another quantity”

7 0

3 years ago

Jimmy has a piece of string that is 6 3/4 inches long, and Sam has a piece of string that is 7 1/2 inches long.

mafiozo [28]

Answer:

3/4 inches

Step-by-step explanation:

Subtract Jimmys string length from Sam's string length

7 1/2 - 6 3/4

Get a common denominator of 4

7 1/2*2/2 - 6 3/4

7 2/4 - 6 3/4

Borrow 1 ( or 4/4) from the 7

6 4/4 + 2/4 - 6 3/4

6 6/4 - 6 3/4

3/4

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2 years ago

Read 2 more answers

Determine whether y = 2x - 3 is a linear equation. If so, write the equation in<br> standard form.

beks73 [17]

Answer:

yes, y=2x-3 is linear

2x - y = 3 Standard Form

Step-by-step explanation:

since both the 'x' and 'y' variables have one as their exponents then this represents a linear equation

standard form: Ax + By = C

y = 2x - 3

subtract 2x from each side to get:

-2x + y = -3

divide each term by -1 to get (this is done so the leading coefficient is not negative)

2x - y = 3 Standard Form

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2 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

I am Lyosha [343]

Answer:

<h2>5,040 I'm sure that's answer thank you</h2>

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2 years ago