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balandron [24]
2 years ago
10

Please Help!!!

Mathematics
1 answer:
Tpy6a [65]2 years ago
4 0
Your ellipse is given in the form:
\frac{(x - xc)^{2} }{ a^{2} } + \frac{(y - yc)^{2} }{ b^{2} } = 1

Indeed, you have:

\frac{(x-3)^{2} }{64} + \frac{(y+5)^{2} }{100} = 1

Therefore you can easily find:

a) the coordinates of the center:
in your case xc = 3 and yc = -5
hence C(3 , -5)

b) lenght of the major and minor axis:
in your case a² < b²:
a² = 64  ⇒ a = 8 (ATTENTION! This is the semi-minor axis)
b² = 100 ⇒ b = 10 (again, this is the semi<span>-major axis)
Therefore,
minor axis 2a = 16 and major axis 2b = 20

c) coordinates of the foci:
Since you have </span>a² < b<span>², foci have the generic coordinates F</span>₁₂ (xc , yc+/-c)
where c = √(b² - a²)

Let's compute c = √(100 - 64) = √36 = 6
yf₁ = -5 - 6 = -11
yf₂ = -5 + 6 = -1
Therefore:
F₁ (3, -11) and F₂(3, +1)

d) the graph is in the picture attached

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Find the product of -5 1/3 • 4 2/5
fomenos

Answer:

Simplify the expression.

Exact Form: -352/15

Decimal Form: -23.46

Mixed Number Form: -23 7/15

Step-by-step explanation:

7 0
3 years ago
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x^2, which of
katrin [286]

The transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The options are missing.

The options are:

A. G(x) = 4x²

B. G(x) = -(1/4)x²

C. G(x) = -4x²

D. G(x) = (1/4)x²

We have an equation of a function F(x)  

F(x) = x²

The transformation F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x)

To stretch vertically if the function is multiplied by a constant value

f(x) = ax²

To flip over the x-axis if multiply by negative value.

g(x) = -ax²

From the options

G(x) = -4x²

Thus, the transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
1 year ago
HELP ME!! Move the terms to their corresponding categories. Either Domain or Range.
ExtremeBDS [4]

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

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  • X-value

Range

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Hope this helps!!

4 0
2 years ago
What is the rate of change of a line that passes through the points (-3,5) and (2,-1)?
lara [203]

Answer:

3/4

Step-by-step explanation:

The slope of the line is

m = (y2-y1)/(x2-x1)

   = (-2--5)/(6-2)

   = (-2+5)/(6-2)

    =3/4

6 0
3 years ago
Molly uses 9.5 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is
Vilka [71]

Answer:

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Step-by-step explanation:

Since 3/4 of the paint is blue, the remaining 1/4 of the paint is white. 1/4 of the total amount is ...

  (1/4)(9.5 pints) = 2.375 pints . . . . of white paint

5 0
3 years ago
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