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3 years ago

9

Can someone please help me with this!!!

1 answer:

user100 [1]3 years ago

7 0

It is an arithmetic because it is adding 2 to each number.

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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

If AAED AACB, which must be true?

Citrus2011 [14]

Answer:

I am pretty sure it's A, 85% sure

Step-by-step explanation:

Sorry wasn't a ton of help, ignore if there is a better answer but you seem like in a rush

7 0

2 years ago

A biker travels at a rate of 20 miles per hour. Calculate

kow [346]

Answer:

60 miles

Step-by-step explanation:

20 miles times 3

3 0

3 years ago

Read 2 more answers

Can somebody do my thunk through math Please???!!! Please.

o-na [289]

there is no question

7 0

3 years ago

Place these events on the probability

Aleksandr [31]

Answer:

P(tails)=1/2
P(5)=1/6

Not sure of the rest but hope this helps

8 0

3 years ago