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1 year ago

What is the general equation of a tilted ellipses not centered at the origin?

1 answer:

4 0

The general equation of an ellipse in which case it is not centered at the origin and it is tilted is; (x-h)²/a² + (y-k)²/b² = 1.

<h3>What is the general equation of a tilted ellipses not centered at the origin?</h3>

It follows from the task content that the plane shape in discuss is an ellipse which is described by the characteristics that it is tilted and not centered at the origin.

It follows from convention that the general equation of such an ellipse is;

(x-h)²/a² + (y-k)²/b² = 1.

In which case, such an ellipse has center given as point; (h, k).

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Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph o

max2010maxim [7]

Answer:

The equation for the new line in slope-intercept form is:

$y=4x+2$

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

$y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0$

which for our case is:

$y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2$

6 0

3 years ago

Samantha is painting the outside of a box that is in the shape of a rectangular prism. It’s length is 18cm, it’s width is 6 cm,

sveta [45]

D. 360 cm squared

Explanation:

Multiply each faces edges.

18x7(WxL)

3x6(HxW)

3x18(HxL)

multiply each equations answer by 2, because the opposite face is the same.

108x2=216

18x2=36

54x2=108

add these together to get 360 cm squared.

8 0

2 years ago

Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22?

ratelena [41]

Is the answer to this question {5}?

4 0

3 years ago

Write y-3= -(x+5) in standard form

pickupchik [31]

The answer is y=-x+8

7 0

3 years ago

Read 2 more answers

If the interest on RS. 1700 for 2 years is RS. 340.what is the rate of interest?

IRINA_888 [86]

Answer:

interest =1700 time =2years principle=340 apply formula : I×100/p×t , put the values in formula 1700×100/340×2, Rate =

250%

8 0

2 years ago