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Elodia [21]
3 years ago
5

PLS HELP ME ASAP FOR 5, 6, and 7 (SHOW WORK!!) + LOTS OF POINTS!!

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0
Where the line touches the x-axis
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Identify the graph of 3x^2+y^2=9 for T(-1,3) and write an equation of the translated or rotated graph in general form.
Archy [21]

ANSWER

D. Ellipse;

3{x}^{2}  +{y}^{2}  + 6x   - 6y + 3= 0

EXPLANATION

The given equation is

3 {x}^{2}  +  {y}^{2}  = 9

Dividing through by 9 gives

\frac{ {x}^{2} }{ 3}  +  \frac{ {y}^{2} }{9}  = 1

This is the equation of an ellipse centered at the origin.

If this ellipse has been translated, so that its center is now at (-1,3), then the equation of the translated ellipse becomes

\frac{ {(x + 1)  }^{2} }{ 3}  +  \frac{ {(y - 3)}^{2} }{9}  = 1

We multiply through by 9 to get,

3 {(x + 1)}^{2}  +  {(y - 3)}^{2}  = 9

Expand to obtain;

3( {x}^{2}  + 2x + 1) +  {y}^{2}  - 6y + 9 = 9

Expand to obtain;

3{x}^{2}  + 6x + 3+  {y}^{2}  - 6y + 9 = 9

Regroup and equate to zero to obtain;

3{x}^{2}  +{y}^{2}  + 6x   - 6y + 3= 0

8 0
3 years ago
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Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each vector is unknown, what is t
aliina [53]
C it look and is more right than the others
6 0
3 years ago
Suppose a student is in the last semester of college and has a 2.76 GPA after 104 credit hours. If he is
Svetach [21]

Answer:

2.93

Step-by-step explanation:

I guessed and got it right lol

4 0
2 years ago
What is the volume of the rectangular prism? A prism has a length of 6 meters, height of 4.5 meters, and width of 5.5 meters. 16
Sidana [21]

Answer:

148.5 meters^3

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

V=l*w*h

The length is 6 meters. The height is 4.5 meters. The width is 5.5 meters. Substitute these values into the formula.

V=6*5.5*4.5

Multiply all the values together

V=33*4.5

V=148.5

Add appropriate units. Volume uses units^3 and the units are meters.

V=148.5 meters^3

The volume of the rectangular prism is 148.5 cubic meters.

5 0
3 years ago
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30 divided by 2438 long division
Ksju [112]
The answer would be 81.3
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