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frez [133]
3 years ago
13

Solve: 4|x| = 32 a 8 b –8 or 8 c 24 d No solution

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

x= -8 , 8

your answer

b –8 or 8

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Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

3 0
3 years ago
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nordsb [41]

Answer:


Step-by-step explanation:

for right-angled triangle: a^2 + b^2 = c^2

given a = 5 n b = 10

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= 25 + 100

= 125

c = sqrt(125)

= 5*sqrt(5)

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3 years ago
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