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2 years 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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Someone help me with this geometry homework !!!!!! 10 points!

Reil [10]

Answer: 3a = (0, 1) 3b = (2, 1) 3c = (2.5, 1) 3d = (1.6, 1)

4a = (2, 3.5) 4b = (2, 3) 4c = (2, 5.375)

<u>Step-by-step explanation:</u>

The length of AB is 6 and is horizontal (affects the x-coordinate)

$3a)\quad 6\bigg(\dfrac{1}{2}\bigg)\quad =3\qquad \qquad A(-2, 1) +(3, 0)= C(1,1)\\\\\\3b)\quad 6\bigg(\dfrac{2}{3}\bigg)\quad =4\qquad \qquad A(-2, 1) +(4,0)= C(2,1)\\\\\\3c)\quad 6\bigg(\dfrac{3}{4}\bigg)\quad =\dfrac{9}{2}\qquad \qquad A(-2, 1) +(4.5,0)= C(2.5,1)$

$3d)\quad 6\bigg(\dfrac{3}{5}\bigg)\quad =\dfrac{18}{5}\qquad \qquad A(-2, 1) +(3.6,0)= C(1.6,1)$

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The length of AB is 5 and is vertical (affects the y-coordinate)

$4a)\quad 5\bigg(\dfrac{1}{2}\bigg)\quad =\dfrac{5}{2}\qquad \qquad A(2, 1) +(0,2.5)= C(2,3.5)\\\\\\4b)\quad 5\bigg(\dfrac{2}{5}\bigg)\quad =2\qquad \qquad A(2, 1) +(0,2)= C(2,3)\\\\\\4c)\quad 5\bigg(\dfrac{7}{8}\bigg)\quad =\dfrac{35}{8}\qquad \qquad A(2, 1) +(0,4.375)= C(2,5.375)$

4 0

3 years ago

Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by

Svetach [21]

Answer:

the second description and and expression is correct

Step-by-step explanation:

the first one is wrong because it says 7 minus while it should be minus 7

6 0

3 years ago

Can u help me find the Answer

den301095 [7]

-20x-16

= -4(5x + 4)

I think 4 ×-5 = -20x

4×-4 = -16x

7 0

2 years ago

A professor obtains SAT scores and freshman GPA for a group of 15 college students with the hope that she can predict GPA using

kramer

The hypothesis test analyzes the null and alternative hypothesis of the

plausibility of a correlation between the SAT scores and GPA.

The hypothesis test that would be appropriate is <u>a hypothesis test that checks that the slope of the regression line is not zero</u>.

Reasons:

The data collected by the professor = The scores of the college students

The type of scores collected = SAT scores, and GPA scores

The test that would be appropriate for the example, is the test for the

existence of a significant linear relationship between the input variable

(the SAT scores) and the output variable (the GPA)

The test is known as <u>the test for the slope of the regression line</u>

The equation of the regression line is; Y = B₀ + B₁·X

Where;

Y = The value of the GPA score (The dependent variable)

X = The value of the SAT score (The independent variable)

The test aims to check that the value the slope of the regression line is

much different from zero, such that there exist a correlation.

Learn more about hypothesis test for linear regression here:

brainly.com/question/13938204

4 0

2 years ago

Question in the picture!

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers