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2 years ago

Can someone plz help me with those two I’m being timed !!!

Mathematics

1 answer:

mixer [17]2 years ago

3 0

Answer:

The first one is (-4,3) The second one is (-1,3)

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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

How can you find the side of a triangle only using angles 33 degrease, 49 degrees, and 98 degrees, and one side which is 100m. I

kumpel [21]

Answer:

72.17 m to the nearest hundredth.

Step-by-step explanation:

It is sin not cos.

We use the Sine Rule to do this

a / sin A = b / sin C = c / sin C.

Here we have:

100 / sin 49 = x / sin 33

x = 100 * sin 33 / sin 49

= 72.17 m.

3 0

3 years ago

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Could -2 be used to rewrite 32

Ostrovityanka [42]

Answer:Look at this list of whole number powers of -2:

(-2)0 = 1

(-2)1 = -2

(-2)2 = 4

(-2)3 = -8

(-2)4 = 16

Step-by-step explanation:

7 0

3 years ago

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There are four erasers but only three pencils write the ratio of erasers to pencils

iris [78.8K]

4:3
4 to 3
4/3
I wrote all the three ways

3 0

3 years ago

Solve please. Fastest + most accurate answer gets brainliest.

asambeis [7]

Answer:

QPR is 47

Step-by-step explanation:

I dont know the rest sorry

4 0

2 years ago

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