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vampirchik [111]
3 years ago
15

Identify the type of conic section whose equation is given. x2 = 4y − 2y2

Mathematics
1 answer:
Reil [10]3 years ago
8 0
<h3>Answer:</h3>

ellipse

<h3>Explanation:</h3>

Written in general form, the equation is ...

... x² +2y² -4y = 0

The coefficients of the squared terms are the same sign, and of different values, so the equation is of an ellipse.

These are the other possibilities that can be determined from the coefficients of the squared terms.

  • Same sign, same value: circle.
  • Opposite sign: hyperbola.
  • Only one squared term: parabola.

_____

Of course, your handy graphing calculator can show you the graph, making it easy for you to determine the conic section that is described.

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PLEASE HELP!
gayaneshka [121]

Answer:

See the attached figure

y-intercept is the value of y when x = 0

Given the functions:

y = 3^x   ⇒ the graph with the blue color

y = 2(1/2)^x  ⇒ the graph with the red color

y = (1/4)^x  ⇒ the graph with the green color

<u>As shown:</u>

<u>y = 3^x</u>

y-intercept at (0, 1)

graph initially increases slowly and then increases rapidly

<u>y = 2(1/2)^x</u>

y-intercept at (0, 2)

graph initially decreases rapidly and then decreases slowly

<u>y = (1/4)^x</u>

y-intercept at (0, 1)

graph initially decreases rapidly and then decreases slowly

4 0
3 years ago
What is -10=xy+z for x?
aksik [14]
(-10= xy + z ) (-z)
(-10-z = xy ) (1/y)
-10/y - z/y = x
x = -(10+z)/y
6 0
4 years ago
86 divide by 3 using area model,
IgorLugansk [536]

Answer:

86/3=28.67

Step-by-step explanation:


5 0
3 years ago
Solve for x: 3(-5x + 1) + 7 = 2 - 4(x – 3)
Cloud [144]

Answer:

x is -4/11 or -0.36

Step-by-step explanation:

5 0
3 years ago
the line below contains X,Y,and Z, in that order. The ratio of the length of XY to the length of YZ is 5:9. If it can be determi
maw [93]

Answer:

\dfrac{XY}{XZ} =\dfrac{5}{14}

Step-by-step explanation:

We are give the following in the question:

\dfrac{XY}{YZ} = \dfrac{5}{9}

We have to find the ration of the length of XY to the length XZ.

This, can be done as:

\dfrac{XY}{XZ} = \dfrac{XY}{XY+YZ}\\\\\Rightarrow \dfrac{XZ}{XY} = \dfrac{XY+YZ}{XY}  = 1 + \dfrac{YZ}{XY}\\\\\Rightarrow \dfrac{XZ}{XY} = 1+\dfrac{9}{5} = \dfrac{14}{5}\\\\\Rightarrow \dfrac{XY}{XZ} =\dfrac{5}{14}

Thus, the ration XY:XZ is 5:14

8 0
3 years ago
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